arXiv:2408.01493

Strong pairing and symmetric pseudogap metal in double Kondo lattice model: from nickelate superconductor to tetralayer optical lattice

Hui Yang, Hanbit Oh, Ya-Hui Zhang

Published Aug 2, 2024• 0 citations

Abstract

In this work, we propose and study a double Kondo lattice model which hosts robust superconductivity. The system consists of two identical Kondo lattice model, each with Kondo coupling $J_K$ within each layer, while the localized spin moments are coupled together via an inter-layer on-site antiferromagnetic spin coupling $J_\perp$. We consider the strong $J_\perp$ limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling $J_K$ transmits the inter-layer entanglement between the local moments to the itinerant electrons. Consequently, the itinerant electrons experience a strong inter-layer antiferromangetic spin coupling and form strong inter-layer pairing, which is confirmed through numerical simulation in one dimensional system. Experimentally, the $J_K \rightarrow -\infty$ limits of the model describes the recently found bilayer nickelate La$_3$Ni$_2$O$_7$, while the $J_K>0$ side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits, $J_K \rightarrow -\infty$ and $J_K \rightarrow +\infty$ limit are shown to be simplified to a bilayer type II t-J model and a bilayer one-orbital t-J model, respectively. Thus, our double Kondo lattice model offers a unified framework for nickelate superconductor and tetralayer optical lattice quantum simulator upon changing the sign of $J_K$. We highlight both the qualitative similarity and the quantitative difference in the two sides of $J_K$. Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.

DOI: 10.48550/arxiv.2408.01493

Related papers

Strong pairing and symmetric pseudogap metal in a double Kondo lattice model: From a nickelate superconductor to a tetralayer optical lattice

Hui Yang, Hanbit Oh, Ya-Hui Zhang

Physical review. B./Physical review. BJun 2, 20259 citations

Doping a spin-one Mott insulator: possible application to bilayer nickelate

Hanbit Oh, Hui Yang, Ya-Hui Zhang

arXiv:2509.02673New Journal of PhysicsJan 26, 20263 citations

Intertwined Superconductivity and Magnetism from Repulsive Interactions in Kondo Bilayers

Clara S. Weber, Dominik Kiese, Dante Marvin Kennes +1 more

arXiv:2408.02847Aug 5, 20240 citations

Connecting single-layer $t$-$J$ to Kondo lattice models: Exploration with cold atoms

Hannah Lange, Eugene Demler, Jan von Delft +2 more

cond-mat.quant-gasCross-listedarXiv:2512.09926Dec 11, 20250 citations

High-temperature superconductivity from kinetic energy

Hanbit Oh, Hui Yang, Ya-Hui Zhang

arXiv:2411.07292Physical review. B./Physical review. BOct 14, 20260 citations

Local Control and Mixed Dimensions: Exploring High-Temperature Superconductivity in Optical Lattices

Henning Schlömer, Hannah Lange, Titus Franz +7 more

arXiv:2406.02551PRX QuantumDec 12, 202412 citations

arXiv:2408.01493

Strong pairing and symmetric pseudogap metal in double Kondo lattice model: from nickelate superconductor to tetralayer optical lattice

Hui Yang, Hanbit Oh, Ya-Hui Zhang

Published Aug 2, 2024• 0 citations

arXiv HTML PDF

Abstract

In this work, we propose and study a double Kondo lattice model which hosts robust superconductivity. The system consists of two identical Kondo lattice model, each with Kondo coupling

J_K

within each layer, while the localized spin moments are coupled together via an inter-layer on-site antiferromagnetic spin coupling

J_\perp

. We consider the strong

J_\perp

limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling

J_K

transmits the inter-layer entanglement between the local moments to the itinerant electrons. Consequently, the itinerant electrons experience a strong inter-layer antiferromangetic spin coupling and form strong inter-layer pairing, which is confirmed through numerical simulation in one dimensional system. Experimentally, the

J_K \rightarrow -\infty

limits of the model describes the recently found bilayer nickelate La

_3

_2

_7

, while the

J_K>0

side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits,

J_K \rightarrow -\infty

and

J_K \rightarrow +\infty

limit are shown to be simplified to a bilayer type II t-J model and a bilayer one-orbital t-J model, respectively. Thus, our double Kondo lattice model offers a unified framework for nickelate superconductor and tetralayer optical lattice quantum simulator upon changing the sign of

J_K

. We highlight both the qualitative similarity and the quantitative difference in the two sides of

J_K

. Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.

DOI: 10.48550/arxiv.2408.01493

Related papers

Strong pairing and symmetric pseudogap metal in a double Kondo lattice model: From a nickelate superconductor to a tetralayer optical lattice

Hui Yang, Hanbit Oh, Ya-Hui Zhang

In this work, we propose and study a double Kondo lattice model which hosts robust superconductivity. The system consists of two identical Kondo lattice models in two separate layers, with Kondo coupling ${J}_{K}$ within each layer, while the localized spin moments are coupled together via an interlayer on-site antiferromagnetic spin coupling ${J}_{\ensuremath{\perp}}$. We consider the strong ${J}_{\ensuremath{\perp}}$ limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling ${J}_{K}$ transmits the interlayer entanglement between the local moments to the itinerant electrons. Consequently, the itinerant electrons experience a strong interlayer antiferromangetic spin coupling and form strong interlayer pairing, which is confirmed through numerical simulation in one dimensional system. Experimentally, the ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ limits of the model describes the recently found bilayer nickelate ${\mathrm{La}}_{3}{\mathrm{Ni}}_{2}{\mathrm{O}}_{7}$ , while the ${J}_{K}>0$ side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits, ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ and ${J}_{K}\ensuremath{\rightarrow}+\ensuremath{\infty}$ limit are shown to be simplified to a bilayer type II t-J model and a bilayer one-orbital t-J model, respectively. Thus, our double Kondo lattice model offers a unified framework for nickelate superconductor and tetralayer optical lattice quantum simulator upon changing the sign of ${J}_{K}$ . We highlight both the qualitative similarity and the quantitative difference in the two sides of ${J}_{K}$ . Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.In this work, we propose and study a double Kondo lattice model which hosts robust superconductivity. The system consists of two identical Kondo lattice models in two separate layers, with Kondo coupling ${J}_{K}$ within each layer, while the localized spin moments are coupled together via an interlayer on-site antiferromagnetic spin coupling ${J}_{\ensuremath{\perp}}$. We consider the strong ${J}_{\ensuremath{\perp}}$ limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling ${J}_{K}$ transmits the interlayer entanglement between the local moments to the itinerant electrons. Consequently, the itinerant electrons experience a strong interlayer antiferromangetic spin coupling and form strong interlayer pairing, which is confirmed through numerical simulation in one dimensional system. Experimentally, the ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ limits of the model describes the recently found bilayer nickelate ${\mathrm{La}}_{3}{\mathrm{Ni}}_{2}{\mathrm{O}}_{7}$, while the ${J}_{K}>0$ side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits, ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ and ${J}_{K}\ensuremath{\rightarrow}+\ensuremath{\infty}$ limit are shown to be simplified to a bilayer type II t-J model and a bilayer one-orbital t-J model, respectively. Thus, our double Kondo lattice model offers a unified framework for nickelate superconductor and tetralayer optical lattice quantum simulator upon changing the sign of ${J}_{K}$. We highlight both the qualitative similarity and the quantitative difference in the two sides of ${J}_{K}$. Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.

Physical review. B./Physical review. BJun 2, 20259 citations

Doping a spin-one Mott insulator: possible application to bilayer nickelate

Hanbit Oh, Hui Yang, Ya-Hui Zhang

Abstract In this article, we review some recent theoretical developments on potential high-temperature superconductors and unconventional metallic states that can arise from doping a spin-one Mott insulator in the d 8 valence. These studies are particularly relevant—though not limited—to the recently discovered bilayer nickelate superconductor La 3 Ni 2 O 7 . We focus on a ferromagnetic Kondo lattice model with mobile electrons in the d x 2 − y 2 orbital coupled to the localized spin moments in d z 2 orbital through a large Hund’s coupling J H . In the large J H limit, the model reduces to the type II t − J model with a mixture of spin-half singlon states and spin-one doublon states. We summarize density matrix renormalization group results on the Luther-Emery liquid in one dimensional chain and two-leg ladder. Then we mainly focus on bilayer square lattice and show that a large inter-layer coupling J ⊥ of d z 2 orbital can induce strong inter-layer pairing of d x 2 − y 2 orbital. In the strong J ⊥ limit, a kinetic-energy driven high T c superconductivity is demonstrated in an ideal model with only a single hopping term. Furthermore, the model predicts a symmetric pseudogap metal—dubbed ‘second Fermi liquid (FL)’—in the underdoped regime, yielding a phase diagram analogous to that of hole-doped cuprates. The bilayer Kondo model therefore presents a promising platform for both realizing higher- T c superconductors and exploring non-FL physics. We also comment on the possible limitations of the current models for the bilayer nickelate material and point out some future directions.Abstract In this article, we review some recent theoretical developments on potential high-temperature superconductors and unconventional metallic states that can arise from doping a spin-one Mott insulator in the d 8 valence. These studies are particularly relevant—though not limited—to the recently discovered bilayer nickelate superconductor La 3 Ni 2 O 7 . We focus on a ferromagnetic Kondo lattice model with mobile electrons in the d x 2 − y 2 orbital coupled to the localized spin moments in d z 2 orbital through a large Hund’s coupling J H . In the large J H limit, the model reduces to the type II t − J model with a mixture of spin-half singlon states and spin-one doublon states. We summarize density matrix renormalization group results on the Luther-Emery liquid in one dimensional chain and two-leg ladder. Then we mainly focus on bilayer square lattice and show that a large inter-layer coupling J ⊥ of d z 2 orbital can induce strong inter-layer pairing of d x 2 − y 2 orbital. In the strong J ⊥ limit, a kinetic-energy driven high T c superconductivity is demonstrated in an ideal model with only a single hopping term. Furthermore, the model predicts a symmetric pseudogap metal—dubbed ‘second Fermi liquid (FL)’—in the underdoped regime, yielding a phase diagram analogous to that of hole-doped cuprates. The bilayer Kondo model therefore presents a promising platform for both realizing higher- T c superconductors and exploring non-FL physics. We also comment on the possible limitations of the current models for the bilayer nickelate material and point out some future directions.

arXiv:2509.02673New Journal of PhysicsJan 26, 20263 citations

Intertwined Superconductivity and Magnetism from Repulsive Interactions in Kondo Bilayers

Clara S. Weber, Dominik Kiese, Dante Marvin Kennes +1 more

While superconductors are conventionally established by attractive interactions, higher-temperature mechanisms for emergent electronic pairing from strong repulsive electron-electron interactions remain under considerable scrutiny. Here, we establish a strong-coupling mechanism for intertwined superconductivity and magnetic order from purely repulsive interactions in a Kondo-like bilayer system, composed of a two-dimensional Mott insulator coupled to a layer of weakly-interacting itinerant electrons. Combining large scale DMRG and Monte Carlo simulations, we find that superconductivity persists and coexists with magnetism over a wide range of interlayer couplings. We classify the resulting rich phase diagram and find 2-rung antiferromagnetic and 4-rung antiferromagnetic order in one-dimensional systems along with a phase separation regime, while finding that superconductivity coexists with either antiferromagnetic or ferromagnetic order in two dimensions. Remarkably, the model permits a rigorous strong-coupling analysis via localized spins coupled to charge-2e bosons through Kugel-Khomskii interactions, capturing the pairing mechanism in the presence of magnetism due to emergent attractive interactions. Our numerical analysis reveals that pairing remains robust well beyond the strong-coupling regime, establishing a new mechanism for superconductivity in coupled weakly- and strongly-interacting electron systems, relevant for infinite-layer nickelates and superconductivity in moire multilayer heterostructures.While superconductors are conventionally established by attractive interactions, higher-temperature mechanisms for emergent electronic pairing from strong repulsive electron-electron interactions remain under considerable scrutiny. Here, we establish a strong-coupling mechanism for intertwined superconductivity and magnetic order from purely repulsive interactions in a Kondo-like bilayer system, composed of a two-dimensional Mott insulator coupled to a layer of weakly-interacting itinerant electrons. Combining large scale DMRG and Monte Carlo simulations, we find that superconductivity persists and coexists with magnetism over a wide range of interlayer couplings. We classify the resulting rich phase diagram and find 2-rung antiferromagnetic and 4-rung antiferromagnetic order in one-dimensional systems along with a phase separation regime, while finding that superconductivity coexists with either antiferromagnetic or ferromagnetic order in two dimensions. Remarkably, the model permits a rigorous strong-coupling analysis via localized spins coupled to charge-2e bosons through Kugel-Khomskii interactions, capturing the pairing mechanism in the presence of magnetism due to emergent attractive interactions. Our numerical analysis reveals that pairing remains robust well beyond the strong-coupling regime, establishing a new mechanism for superconductivity in coupled weakly- and strongly-interacting electron systems, relevant for infinite-layer nickelates and superconductivity in moire multilayer heterostructures.

arXiv:2408.02847Aug 5, 20240 citations

Connecting single-layer $t$ - $J$ to Kondo lattice models: Exploration with cold atomsConnecting single-layer $t$-$J$ to Kondo lattice models: Exploration with cold atoms

Hannah Lange, Eugene Demler, Jan von Delft +2 more

The Kondo effect, a hallmark of many-body physics, emerges from the antiferromagnetic coupling between localized spins and conduction fermions, leading to a correlated many-body singlet state. Here we propose to use the mixed-dimensional (mixD) bilayer Hubbard geometry as a platform to study Kondo lattice physics with current ultracold atom experiments. At experimentally feasible temperatures, we predict that key features of the Kondo effect can be observed, including formation of the Kondo cloud around a single impurity and the competition of singlet formation with Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions for multiple impurities, summarized in the Doniach phase diagram. Moreover, we show that the mixD platform provides a natural bridge between the Doniach phase diagram of the Kondo lattice model, relevant to heavy-fermion materials, and the phase diagram of cuprate superconductors as described by a single-layer Zhang-Rice type $t$ - $J$ model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.The Kondo effect, a hallmark of many-body physics, emerges from the antiferromagnetic coupling between localized spins and conduction fermions, leading to a correlated many-body singlet state. Here we propose to use the mixed-dimensional (mixD) bilayer Hubbard geometry as a platform to study Kondo lattice physics with current ultracold atom experiments. At experimentally feasible temperatures, we predict that key features of the Kondo effect can be observed, including formation of the Kondo cloud around a single impurity and the competition of singlet formation with Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions for multiple impurities, summarized in the Doniach phase diagram. Moreover, we show that the mixD platform provides a natural bridge between the Doniach phase diagram of the Kondo lattice model, relevant to heavy-fermion materials, and the phase diagram of cuprate superconductors as described by a single-layer Zhang-Rice type $t$-$J$ model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.

cond-mat.quant-gasCross-listedarXiv:2512.09926Dec 11, 20250 citations

High-temperature superconductivity from kinetic energy

Hanbit Oh, Hui Yang, Ya-Hui Zhang

Superconductivity is usually assumed to arise from attractive interaction. In this work we show that strong pairing is possible soley from kinetic energy even without a net attraction. We demonstrate a high-temperature kinetic superconductor in a simple lattice model with nearest-neighbor hopping ( $t$ ) projected onto a constrained Hilbert space, analogous to the $t$ - $J$ model with $J=0$ , where kinetic magnetism has been previously studied. Using density matrix renormalization group (DMRG) on cylinders up to width $L_y=8$ , we find a superconducting ground state exhibiting a key difference from high- $T_c$ cuprates: both the pairing gap and phase stiffness \textit{increase} with doping ( $x$ ). We find pairing gaps, determined from spin and single-electron charge gaps, exceeding $1.5t$ . This model can be realized within the double Kondo lattice model, relevant to bilayer nickelates, in the limit of strong inter-layer spin coupling ( $J_\perp/t \rightarrow +\infty$ ) and a balancing inter-layer repulsion ( $V$ ). Importantly, the double Kondo model does not fundamentally restrict $J_\perp/t$ , suggesting the potential for high critical temperatures ( $T_c$ ) approaching $0.5t$ . While this idealized limit predicts large pairing gaps, we show a smooth connection to the more realistic regime with $J_\perp \sim t$ , albeit with a reduced pairing gap of approximately $0.1t$ . Assuming $t \sim 10^3$ K in typical solid state systems, our model suggests the exciting possibility of achieving $T_c$ of hundreds of Kelvin. We propose searching for bilayer materials with reduced out-of-plane lattice constants to better approximate the conditions of our ideal model.Superconductivity is usually assumed to arise from attractive interaction. In this work we show that strong pairing is possible soley from kinetic energy even without a net attraction. We demonstrate a high-temperature kinetic superconductor in a simple lattice model with nearest-neighbor hopping ($t$) projected onto a constrained Hilbert space, analogous to the $t$-$J$ model with $J=0$, where kinetic magnetism has been previously studied. Using density matrix renormalization group (DMRG) on cylinders up to width $L_y=8$, we find a superconducting ground state exhibiting a key difference from high-$T_c$ cuprates: both the pairing gap and phase stiffness \textit{increase} with doping ($x$). We find pairing gaps, determined from spin and single-electron charge gaps, exceeding $1.5t$. This model can be realized within the double Kondo lattice model, relevant to bilayer nickelates, in the limit of strong inter-layer spin coupling ($J_\perp/t \rightarrow +\infty$) and a balancing inter-layer repulsion ($V$). Importantly, the double Kondo model does not fundamentally restrict $J_\perp/t$, suggesting the potential for high critical temperatures ($T_c$) approaching $0.5t$. While this idealized limit predicts large pairing gaps, we show a smooth connection to the more realistic regime with $J_\perp \sim t$, albeit with a reduced pairing gap of approximately $0.1t$. Assuming $t \sim 10^3$ K in typical solid state systems, our model suggests the exciting possibility of achieving $T_c$ of hundreds of Kelvin. We propose searching for bilayer materials with reduced out-of-plane lattice constants to better approximate the conditions of our ideal model.

arXiv:2411.07292Physical review. B./Physical review. BOct 14, 20260 citations

Local Control and Mixed Dimensions: Exploring High-Temperature Superconductivity in Optical Lattices

Henning Schlömer, Hannah Lange, Titus Franz +7 more

The simulation of high-temperature superconducting materials by implementing strongly correlated fermionic models in optical lattices is one of the major objectives in the field of analog quantum simulation. Here we show that local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox to study fundamental properties of both nickelate and cuprate high-temperature superconductors. On the one hand, we present a scheme to implement a mixed-dimensional (mixD) bilayer model that has been proposed to capture the essential pairing physics of pressurized bilayer nickelates. This allows for the long-sought realization of a state with long-range superconducting order in current lattice quantum simulation machines. In particular, we show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis. On the other hand, we demonstrate that control of local gates enables the observation of d -wave pairing order in the two-dimensional (single-layer) repulsive Fermi-Hubbard model through the simulation of a system with attractive interactions. Lastly, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments—which is of particular interest for future studies of the enigmatic pseudogap phase appearing in cuprates. Published by the American Physical Society 2024The simulation of high-temperature superconducting materials by implementing strongly correlated fermionic models in optical lattices is one of the major objectives in the field of analog quantum simulation. Here we show that local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox to study fundamental properties of both nickelate and cuprate high-temperature superconductors. On the one hand, we present a scheme to implement a mixed-dimensional (mixD) bilayer model that has been proposed to capture the essential pairing physics of pressurized bilayer nickelates. This allows for the long-sought realization of a state with long-range superconducting order in current lattice quantum simulation machines. In particular, we show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis. On the other hand, we demonstrate that control of local gates enables the observation of d -wave pairing order in the two-dimensional (single-layer) repulsive Fermi-Hubbard model through the simulation of a system with attractive interactions. Lastly, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments—which is of particular interest for future studies of the enigmatic pseudogap phase appearing in cuprates. Published by the American Physical Society 2024

arXiv:2406.02551PRX QuantumDec 12, 202412 citations

In this work, we propose and study a double Kondo lattice model which hosts robust superconductivity. The system consists of two identical Kondo lattice model, each with Kondo coupling

J_K

within each layer, while the localized spin moments are coupled together via an inter-layer on-site antiferromagnetic spin coupling

J_\perp

. We consider the strong

J_\perp

limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling

J_K

J_K \rightarrow -\infty

limits of the model describes the recently found bilayer nickelate La

_3

_2

_7

, while the

J_K>0

side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits,

J_K \rightarrow -\infty

and

J_K \rightarrow +\infty

J_K

. We highlight both the qualitative similarity and the quantitative difference in the two sides of

J_K

. Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.

{J}_{K}

within each layer, while the localized spin moments are coupled together via an interlayer on-site antiferromagnetic spin coupling ${J}_{\ensuremath{\perp}}$. We consider the strong ${J}_{\ensuremath{\perp}}$ limit, wherein the local moments tend to form rung singlets and are thus gapped. However, the Kondo coupling

{J}_{K}

transmits the interlayer entanglement between the local moments to the itinerant electrons. Consequently, the itinerant electrons experience a strong interlayer antiferromangetic spin coupling and form strong interlayer pairing, which is confirmed through numerical simulation in one dimensional system. Experimentally, the ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ limits of the model describes the recently found bilayer nickelate

{\mathrm{La}}_{3}{\mathrm{Ni}}_{2}{\mathrm{O}}_{7}

, while the

{J}_{K}>0

side can be realized in tetralayer optical lattice of cold atoms. Two extreme limits, ${J}_{K}\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$ and ${J}_{K}\ensuremath{\rightarrow}+\ensuremath{\infty}$ limit are shown to be simplified to a bilayer type II t-J model and a bilayer one-orbital t-J model, respectively. Thus, our double Kondo lattice model offers a unified framework for nickelate superconductor and tetralayer optical lattice quantum simulator upon changing the sign of

{J}_{K}

. We highlight both the qualitative similarity and the quantitative difference in the two sides of

{J}_{K}

. Finally, we discuss the possibility of a symmetric Kondo breakdown transition in the model with a symmetric pseudogap metal corresponding to the usual heavy Fermi liquid.

Connecting single-layer

t

J

to Kondo lattice models: Exploration with cold atoms

t

J

model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.

t

) projected onto a constrained Hilbert space, analogous to the

t

J

model with

J=0

, where kinetic magnetism has been previously studied. Using density matrix renormalization group (DMRG) on cylinders up to width

L_y=8

, we find a superconducting ground state exhibiting a key difference from high-

T_c

cuprates: both the pairing gap and phase stiffness \textit{increase} with doping (

x

). We find pairing gaps, determined from spin and single-electron charge gaps, exceeding

1.5t

. This model can be realized within the double Kondo lattice model, relevant to bilayer nickelates, in the limit of strong inter-layer spin coupling (

J_\perp/t \rightarrow +\infty

) and a balancing inter-layer repulsion (

V

). Importantly, the double Kondo model does not fundamentally restrict

J_\perp/t

, suggesting the potential for high critical temperatures (

T_c

) approaching

0.5t

. While this idealized limit predicts large pairing gaps, we show a smooth connection to the more realistic regime with

J_\perp \sim t

, albeit with a reduced pairing gap of approximately

0.1t

. Assuming

t \sim 10^3

K in typical solid state systems, our model suggests the exciting possibility of achieving

T_c

of hundreds of Kelvin. We propose searching for bilayer materials with reduced out-of-plane lattice constants to better approximate the conditions of our ideal model.