There has been significant recent interest in the potential exotic properties of multichannel Kondo lattices and their connection to quantum materials, but the strongly coupled nature of these models has posed challenges to theoretical investigations. We study the emergence of topological order in a two-dimensional two-channel Kondo lattice (2CKL) in a time-reversal symmetry-broken channel symmetric phase using a coupled-wire construction from one-dimensional (1D) 2CKLs. Through bosonization and symmetry analysis, we show that away from particle-hole symmetry, the 1D 2CKL model flows to an infrared fixed point with an emergent $\mathrm{SO}(3,1)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ symmetry and a ${\mathbb{Z}}_{2}$ gauge structure. Interwire couplings induce a transition to a topologically ordered metallic state characterized by fractionalized excitations and eightfold ground state degeneracy on a torus. Our findings connect impurity-based non-Fermi-liquid behavior to lattice topological order, with potential implications for quantum materials and topological quantum computation.There has been significant recent interest in the potential exotic properties of multichannel Kondo lattices and their connection to quantum materials, but the strongly coupled nature of these models has posed challenges to theoretical investigations. We study the emergence of topological order in a two-dimensional two-channel Kondo lattice (2CKL) in a time-reversal symmetry-broken channel symmetric phase using a coupled-wire construction from one-dimensional (1D) 2CKLs. Through bosonization and symmetry analysis, we show that away from particle-hole symmetry, the 1D 2CKL model flows to an infrared fixed point with an emergent $\mathrm{SO}(3,1)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ symmetry and a ${\mathbb{Z}}_{2}$ gauge structure. Interwire couplings induce a transition to a topologically ordered metallic state characterized by fractionalized excitations and eightfold ground state degeneracy on a torus. Our findings connect impurity-based non-Fermi-liquid behavior to lattice topological order, with potential implications for quantum materials and topological quantum computation.

arXiv:2410.01759Physical review. B./Physical review. BNov 10, 20252 citations

Phase diagram of the 1D Kondo lattice model

Ian P. McCulloch, M. Gulácsi, S. Caprara +2 more

arXiv:cond-mat/9908414Journal of Low Temperature PhysicsNov 1, 199921 citations

Renormalization group study of quantum criticality in gapped Kondo model

Rukhsan Ul Haq, Anirban Sharma

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong coupling regime which corresponds to a stable infrared fixed point at which the quantum impurity gets completely screened by the conduction electrons. Quantum impurity models with non-trivial density of states exhibit quantum phase transition and this quantum criticality lies in the universality class of local quantum critical systems. In this paper, we report first study of the flow equation renormalization of gapped Kondo model which has gapped density of states, the gap being at the Fermi level. Flow equation renormalization group method has proved to be one of the very robust renormalization methods to study Kondo physics both in equilibrium as well as in non-equilibrium. Here we have shown that this method can also be employed to study local quantum criticality. We have calculated the flow equations for the Kondo coupling and solved them for various values of the gap parameter and we find that there is suppression of Kondo divergence as gap is increased which signifies that as gap is increased, renormalization flow goes away from the strong coupling fixed point. We have also calculated the spin susceptibility and we find that as gap is increased, susceptibility goes over to the Curie behaviour and hence confirming the renormalization flow towards the local moment fixed point.Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong coupling regime which corresponds to a stable infrared fixed point at which the quantum impurity gets completely screened by the conduction electrons. Quantum impurity models with non-trivial density of states exhibit quantum phase transition and this quantum criticality lies in the universality class of local quantum critical systems. In this paper, we report first study of the flow equation renormalization of gapped Kondo model which has gapped density of states, the gap being at the Fermi level. Flow equation renormalization group method has proved to be one of the very robust renormalization methods to study Kondo physics both in equilibrium as well as in non-equilibrium. Here we have shown that this method can also be employed to study local quantum criticality. We have calculated the flow equations for the Kondo coupling and solved them for various values of the gap parameter and we find that there is suppression of Kondo divergence as gap is increased which signifies that as gap is increased, renormalization flow goes away from the strong coupling fixed point. We have also calculated the spin susceptibility and we find that as gap is increased, susceptibility goes over to the Curie behaviour and hence confirming the renormalization flow towards the local moment fixed point.

arXiv:1711.10997Nov 29, 20170 citations

Ground-state properties of the one-dimensional Kondo lattice at partial band filling

S. Moukouri, Laurent G. Caron

We compute the magnetic structure factor, the singlet correlation function, and the momentum distribution of the one-dimensional Kondo lattice model at the density \ensuremath{\rho}=0.7. The density-matrix--renormalization-group method is used. We show that in the weak-coupling regime, the ground state is paramagnetic. We argue that a Luttinger-liquid description of the model in this region is consistent with our calculations. In the strong-coupling regime, the ground state becomes ferromagnetic. The conduction electrons show a spinless-fermionlikWe compute the magnetic structure factor, the singlet correlation function, and the momentum distribution of the one-dimensional Kondo lattice model at the density \ensuremath{\rho}=0.7. The density-matrix--renormalization-group method is used. We show that in the weak-coupling regime, the ground state is paramagnetic. We argue that a Luttinger-liquid description of the model in this region is consistent with our calculations. In the strong-coupling regime, the ground state becomes ferromagnetic. The conduction electrons show a spinless-fermionlik

arXiv:cond-mat/9510087Physical review. B, Condensed matterDec 1, 199546 citations

Dynamic properties of the doped Kondo insulator in one dimension

Naokazu Shibata, Hirokazu Tsunetsugu

Physica B Condensed MatterJun 1, 20000 citations

{\mathbb{Z}}_{2}

gauge structure. Interwire couplings induce a transition to a topologically ordered metallic state characterized by fractionalized excitations and eightfold ground state degeneracy on a torus. Our findings connect impurity-based non-Fermi-liquid behavior to lattice topological order, with potential implications for quantum materials and topological quantum computation.