We investigate interplay of topological and Kondo effects in a one-dimensional Kondo–Heisenberg model with nontrivial conduction band using the density matrix renormalization group method. By analyzing the density profile, the local hybridization, and the spin/charge gap, we find that the Kondo effect can be destructed at edges of the chain by the topological end state below a finite critical Kondo coupling <?CDATA ${J}_{{\rm{K}}}^{{\rm{c}}}$ ?> J K c . We construct a phase diagram characterizing the transition of the end states.We investigate interplay of topological and Kondo effects in a one-dimensional Kondo–Heisenberg model with nontrivial conduction band using the density matrix renormalization group method. By analyzing the density profile, the local hybridization, and the spin/charge gap, we find that the Kondo effect can be destructed at edges of the chain by the topological end state below a finite critical Kondo coupling <?CDATA ${J}_{{\rm{K}}}^{{\rm{c}}}$?> J K c . We construct a phase diagram characterizing the transition of the end states.

arXiv:2210.13090Chinese Physics LettersOct 1, 20220 citations

Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU( N ) Kondo lattice model

P. Lecheminant, Keisuke Totsuka

The nature of the insulating phases of the $\mathrm{SU}(N$ )-generalization of the one-dimensional Kondo lattice model is investigated by means of nonperturbative approaches. By extending the Lieb-Schultz-Mattis (LSM) argument to multicomponent fermion systems with translation and global $\mathrm{SU}(N$ ) symmetries, we derive two indices which depend on the filling and the `` $\mathrm{SU}(N$ )-spin'' (representation) of the local moments. These indices strongly constrain possible insulating phases; for instance, when the local moments transform in the $N$ -dimensional (defining) representation of $\mathrm{SU}(N$ ), a featureless Kondo insulator is possible only at filling $f=1\ensuremath{-}1/N$. To obtain further insight into the insulating phases suggested by the LSM argument, we derive low-energy effective theories by adding an antiferromagnetic Heisenberg exchange interaction among the local moments [the $\mathrm{SU}(N$ ) Kondo-Heisenberg model]. A conjectured global phase diagram of the $\mathrm{SU}(N$ ) Kondo lattice model as a function of the filling and the Kondo coupling is then obtained by a combination of different analytical approaches.The nature of the insulating phases of the $\mathrm{SU}(N$)-generalization of the one-dimensional Kondo lattice model is investigated by means of nonperturbative approaches. By extending the Lieb-Schultz-Mattis (LSM) argument to multicomponent fermion systems with translation and global $\mathrm{SU}(N$) symmetries, we derive two indices which depend on the filling and the ``$\mathrm{SU}(N$)-spin'' (representation) of the local moments. These indices strongly constrain possible insulating phases; for instance, when the local moments transform in the $N$-dimensional (defining) representation of $\mathrm{SU}(N$), a featureless Kondo insulator is possible only at filling $f=1\ensuremath{-}1/N$. To obtain further insight into the insulating phases suggested by the LSM argument, we derive low-energy effective theories by adding an antiferromagnetic Heisenberg exchange interaction among the local moments [the $\mathrm{SU}(N$) Kondo-Heisenberg model]. A conjectured global phase diagram of the $\mathrm{SU}(N$) Kondo lattice model as a function of the filling and the Kondo coupling is then obtained by a combination of different analytical approaches.

arXiv:2404.11030Physical review. B./Physical review. BAug 5, 20243 citations

Dissipative phase transition in a one-dimensional circuit QED lattice: Theory

Andy C. Y. Li, Mattias Fitzpatrick, Neereja Sundaresan +2 more

Bulletin of the American Physical SocietyMar 15, 20170 citations

Quantum phase transition in the Kondo lattice model

Ki‐Seok Kim, Mun Dae Kim

Aug 10, 20060 citations

Staggered liquid phases of the one-dimensional Kondo-Heisenberg lattice model

Oron Zachar

We describe a family of one-dimensional (1D) liquids, which we call ``staggered liquids,'' in the phase diagram of the 1D Kondo-Heisenberg model. It encompasses three distinct spin-gapped liquids and a Luttinger liquid (LL) phase. A staggered liquid is characterized by gapless modes with a large Fermi-sea signature in the charge-density wave (CDW) mode, and the superconducting order involves the near condensation of charge- $2e$ Cooper pairs with finite center-of-mass momentum. In particular, the conventional gapless ${2k}_{F}$ CDW and $k=0$ pairing modes are absent. We analytically derive the phase transition from an intermediate-coupling spin-gap phase to the strong-coupling gapless LL phase of the Kondo-Heisenberg lattice model.We describe a family of one-dimensional (1D) liquids, which we call ``staggered liquids,'' in the phase diagram of the 1D Kondo-Heisenberg model. It encompasses three distinct spin-gapped liquids and a Luttinger liquid (LL) phase. A staggered liquid is characterized by gapless modes with a large Fermi-sea signature in the charge-density wave (CDW) mode, and the superconducting order involves the near condensation of charge-$2e$ Cooper pairs with finite center-of-mass momentum. In particular, the conventional gapless ${2k}_{F}$ CDW and $k=0$ pairing modes are absent. We analytically derive the phase transition from an intermediate-coupling spin-gap phase to the strong-coupling gapless LL phase of the Kondo-Heisenberg lattice model.

arXiv:cond-mat/0011312Physical review. B, Condensed matterApr 13, 200138 citations

{J}_{{\rm{K}}}^{{\rm{c}}}

?> J K c . We construct a phase diagram characterizing the transition of the end states.

The nature of the insulating phases of the

\mathrm{SU}(N

)-generalization of the one-dimensional Kondo lattice model is investigated by means of nonperturbative approaches. By extending the Lieb-Schultz-Mattis (LSM) argument to multicomponent fermion systems with translation and global

\mathrm{SU}(N

) symmetries, we derive two indices which depend on the filling and the ``

\mathrm{SU}(N

)-spin'' (representation) of the local moments. These indices strongly constrain possible insulating phases; for instance, when the local moments transform in the

N

-dimensional (defining) representation of

\mathrm{SU}(N

), a featureless Kondo insulator is possible only at filling $f=1\ensuremath{-}1/N$. To obtain further insight into the insulating phases suggested by the LSM argument, we derive low-energy effective theories by adding an antiferromagnetic Heisenberg exchange interaction among the local moments [the

\mathrm{SU}(N

) Kondo-Heisenberg model]. A conjectured global phase diagram of the

\mathrm{SU}(N

) Kondo lattice model as a function of the filling and the Kondo coupling is then obtained by a combination of different analytical approaches.

2e

Cooper pairs with finite center-of-mass momentum. In particular, the conventional gapless

{2k}_{F}

CDW and

k=0

pairing modes are absent. We analytically derive the phase transition from an intermediate-coupling spin-gap phase to the strong-coupling gapless LL phase of the Kondo-Heisenberg lattice model.