Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2301.08264 · Physical review. B./Physical review. B

Maple leaf antiferromagnet in a magnetic field

Pratyay Ghosh, Jannis Seufert, Tobias Müller, Frédéric Mila, Ronny Thomale

Published Aug 29, 2023• 21 citations
arXivHTMLPDF

Abstract

We analyze the quantum antiferromagnet on the maple leaf lattice in the presence of a magnetic field. Starting from its exact dimer ground state and for a magnetic field strength of the order of the local dimer spin-exchange coupling, we perform a strong-coupling expansion and extract an effective hard-core boson model. The interplay of effective many-body interactions, suppressed single-particle dynamics, and correlated hopping gives way to an intriguing series of superfluid to insulator transitions which correspond to magnetization plateaus in terms of the maple leaf spin degrees of freedom. While we find plateaus at intermediate magnetization to be dominated by bosonic density wave order, we conjecture plateau formation from multiboson bound states due to correlated hopping for lower magnetization.

DOI
10.1103/physrevb.108.l060406

Related papers

Tensor-network study of the ground state of the maple-leaf Heisenberg antiferromagnet

Samuel Nyckees, Pratyay Ghosh, Frédéric Mila

Abstract We study the quantum phase diagram of the spin-1/2 nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to C 3 -symmetric lattices. Focusing on the fully antiferromagnetic J – J d model with J h = J t ≔ J , we map out the ground-state phase diagram as a function of the dimer coupling J d . Our results show that the system hosts only two phases: a magnetically ordered canted-120° phase and an exact dimer singlet product phase. We identify a first-order transition between these two phases at J d / J ≈ 1.45. Within the magnetically ordered phase, we observe small but finite magnetic moments. We also resolve the quantum renormalization of the canting angle, which deviates from the classical prediction over almost the entire magnetically ordered phase.

Zeitschrift für Naturforschung A•Mar 11, 2026•0 citations

Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice

Lasse Gresista, Ciarán Hickey, Simon Trebst +1 more

Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the nearest-neighbor spin-$1/2$ Heisenberg antiferromagnet on the maple-leaf lattice, which is known to relieve frustration by the formation of canted ${120}^{\ensuremath{\circ}}$ magnetic order or valence bond crystal order when varying the bond anisotropy. Employing a pseudofermion functional renormalization group approach to assess its ground state phase diagram in detail, we present evidence for a QSL regime sandwiched between these two limiting phases. The formation of such a QSL might signal proximity to a possible deconfined quantum critical point from which it emerges, and that is potentially accessible by tuning the exchange couplings. Our conclusions are based on large-scale simulations involving a careful finite-size scaling analysis of the behavior of magnetic susceptibility and spin-spin correlation functions under renormalization group flow.

arXiv:2310.02645•Physical review. B./Physical review. B•Dec 19, 2023•22 citations

Magnetization of the antiferromagnetic cactus graph model with an exact dimer ground state

Pratyay Ghosh

We introduce and explore the magnetization behavior in a quantum spin system on a cactus graph, deemed the cactus graph model, featuring an exact dimer singlet ground state. We analyze the singlet-triplet gap, interactions among excited triplets, and correlated hopping under an external magnetic field using a strong coupling expansion. Employing an effective hard-core boson representation, we unveil density wave magnetization plateaus and supersolid phases, revealing the intricate interplay between interactions and hopping dynamics. Furthermore, we conjecture that correlated hopping gives rise to multitriplet bound states, and potentially engendering to the stabilization of additional low-lying magnetization plateaus.

arXiv:2310.01570•Physical review. B./Physical review. B•Dec 14, 2023•1 citation

Tensor-network study of the ground state of maple-leaf Heisenberg antiferromagnet

Samuel Nyckees, Pratyay Ghosh, Frédéric Mila

We study the quantum phase diagram of the spin-$1/2$ nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to $C_3$-symmetric lattices. Focusing on the fully antiferromagnetic $J$-$J_d$ model with $J_h = J_t := J$, we map out the ground-state phase diagram as a function of the dimer coupling $J_d$. Our results show that the system hosts only two phases: a magnetically ordered canted-$120^\circ$ phase and an exact dimer singlet product phase. We identify a first-order transition between these two phases at $J_d/J \approx 1.45$. Within the magnetically ordered phase, we observe small but finite magnetic moments. We also resolve the quantum renormalization of the canting angle, which deviates from the classical prediction over almost the entire magnetically ordered phase.

arXiv:2512.20466•Dec 23, 2025•0 citations

Phase diagram of the J − J d Heisenberg model on the maple leaf lattice: Neural networks and density matrix renormalization group

Jonas Beck, Jonathan Bodky, Johannes Motruk +3 more

We microscopically analyze the nearest-neighbor Heisenberg model on the maple leaf lattice through neural quantum state (NQS) and infinite density matrix renormalization group (iDMRG) methods. Embarking to parameter regimes beyond the exact dimer singlet ground state with a dimer bond spin exchange coupling ${J}_{d}$ varied against the exchange strength $J$ of all other bonds, the iDMRG (NQS) method finds a dimer state paramagnetic phase for ${J}_{d}/J>1.464$ (${J}_{d}/J>1.39$) and a canted ${120}^{\ensuremath{\circ}}$ magnetic order for ${J}_{d}/J<1.419$ (${J}_{d}/J<1.23$). Assessing training convergence inaccuracies of the NQS method and the influence of finite cylindric circumference in the iDMRG method, we discuss the possible existence of an intermediate phase between the magnet and the dimer paramagnet.

arXiv:2401.04995•Physical review. B./Physical review. B•May 10, 2024•21 citations

An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice

Philipp Schmoll, Jan Naumann, Weerda, Erik Lennart +2 more

The spin-1/2 Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices provides a stringent test case for frustrated quantum magnetism, where semiclassical magnetic order competes closely with quantum-paramagnetic states. We study the generalized maple-leaf model along the axis interpolating between the isotropic ruby lattice and the isotropic maple-leaf lattice, using two independent variational infinite projected entangled-pair state ansätze: one defined on the mapped square lattice and one directly on the native triangular lattice. Our lowest-energy variational states show no magnetic order throughout the region connecting the two isotropic limits, and the local bond correlations recover the $120^\circ$ lattice rotation symmetry without imposing it explicitly. Magnetic-field simulations at the two endpoints further indicate a finite zero-magnetization plateau in both cases, with a gradual onset of magnetization on the ruby lattice and a sharper onset on the maple-leaf lattice. These results establish a broad gapped non-magnetic regime in a minimal nearest-neighbor Heisenberg model on lattices of direct relevance to both frustrated quantum magnets and programmable ruby-lattice simulators.

arXiv:2407.07145•Jul 9, 2024•1 citation
We analyze the quantum antiferromagnet on the maple leaf lattice in the presence of a magnetic field. Starting from its exact dimer ground state and for a magnetic field strength of the order of the local dimer spin-exchange coupling, we perform a strong-coupling expansion and extract an effective hard-core boson model. The interplay of effective many-body interactions, suppressed single-particle dynamics, and correlated hopping gives way to an intriguing series of superfluid to insulator transitions which correspond to magnetization plateaus in terms of the maple leaf spin degrees of freedom. While we find plateaus at intermediate magnetization to be dominated by bosonic density wave order, we conjecture plateau formation from multiboson bound states due to correlated hopping for lower magnetization.
Abstract We study the quantum phase diagram of the spin-1/2 nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to C 3 -symmetric lattices. Focusing on the fully antiferromagnetic J – J d model with J h = J t ≔ J , we map out the ground-state phase diagram as a function of the dimer coupling J d . Our results show that the system hosts only two phases: a magnetically ordered canted-120° phase and an exact dimer singlet product phase. We identify a first-order transition between these two phases at J d / J ≈ 1.45. Within the magnetically ordered phase, we observe small but finite magnetic moments. We also resolve the quantum renormalization of the canting angle, which deviates from the classical prediction over almost the entire magnetically ordered phase.
Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the nearest-neighbor spin-1/21/21/2 Heisenberg antiferromagnet on the maple-leaf lattice, which is known to relieve frustration by the formation of canted ${120}^{\ensuremath{\circ}}$ magnetic order or valence bond crystal order when varying the bond anisotropy. Employing a pseudofermion functional renormalization group approach to assess its ground state phase diagram in detail, we present evidence for a QSL regime sandwiched between these two limiting phases. The formation of such a QSL might signal proximity to a possible deconfined quantum critical point from which it emerges, and that is potentially accessible by tuning the exchange couplings. Our conclusions are based on large-scale simulations involving a careful finite-size scaling analysis of the behavior of magnetic susceptibility and spin-spin correlation functions under renormalization group flow.
We introduce and explore the magnetization behavior in a quantum spin system on a cactus graph, deemed the cactus graph model, featuring an exact dimer singlet ground state. We analyze the singlet-triplet gap, interactions among excited triplets, and correlated hopping under an external magnetic field using a strong coupling expansion. Employing an effective hard-core boson representation, we unveil density wave magnetization plateaus and supersolid phases, revealing the intricate interplay between interactions and hopping dynamics. Furthermore, we conjecture that correlated hopping gives rise to multitriplet bound states, and potentially engendering to the stabilization of additional low-lying magnetization plateaus.
We study the quantum phase diagram of the spin-1/21/21/2 nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme adapted to C3C_3C3​-symmetric lattices. Focusing on the fully antiferromagnetic JJJ-JdJ_dJd​ model with Jh=Jt:=JJ_h = J_t := JJh​=Jt​:=J, we map out the ground-state phase diagram as a function of the dimer coupling JdJ_dJd​. Our results show that the system hosts only two phases: a magnetically ordered canted-120∘120^\circ120∘ phase and an exact dimer singlet product phase. We identify a first-order transition between these two phases at Jd/J≈1.45J_d/J \approx 1.45Jd​/J≈1.45. Within the magnetically ordered phase, we observe small but finite magnetic moments. We also resolve the quantum renormalization of the canting angle, which deviates from the classical prediction over almost the entire magnetically ordered phase.
We microscopically analyze the nearest-neighbor Heisenberg model on the maple leaf lattice through neural quantum state (NQS) and infinite density matrix renormalization group (iDMRG) methods. Embarking to parameter regimes beyond the exact dimer singlet ground state with a dimer bond spin exchange coupling Jd{J}_{d}Jd​ varied against the exchange strength JJJ of all other bonds, the iDMRG (NQS) method finds a dimer state paramagnetic phase for Jd/J>1.464{J}_{d}/J>1.464Jd​/J>1.464 (Jd/J>1.39{J}_{d}/J>1.39Jd​/J>1.39) and a canted ${120}^{\ensuremath{\circ}}$ magnetic order for Jd/J<1.419{J}_{d}/J<1.419Jd​/J<1.419 (Jd/J<1.23{J}_{d}/J<1.23Jd​/J<1.23). Assessing training convergence inaccuracies of the NQS method and the influence of finite cylindric circumference in the iDMRG method, we discuss the possible existence of an intermediate phase between the magnet and the dimer paramagnet.
The spin-1/2 Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices provides a stringent test case for frustrated quantum magnetism, where semiclassical magnetic order competes closely with quantum-paramagnetic states. We study the generalized maple-leaf model along the axis interpolating between the isotropic ruby lattice and the isotropic maple-leaf lattice, using two independent variational infinite projected entangled-pair state ansätze: one defined on the mapped square lattice and one directly on the native triangular lattice. Our lowest-energy variational states show no magnetic order throughout the region connecting the two isotropic limits, and the local bond correlations recover the 120∘120^\circ120∘ lattice rotation symmetry without imposing it explicitly. Magnetic-field simulations at the two endpoints further indicate a finite zero-magnetization plateau in both cases, with a gradual onset of magnetization on the ruby lattice and a sharper onset on the maple-leaf lattice. These results establish a broad gapped non-magnetic regime in a minimal nearest-neighbor Heisenberg model on lattices of direct relevance to both frustrated quantum magnets and programmable ruby-lattice simulators.