Topological Mott transition in a Weyl-Hubbard model: Dynamical mean-field theory study

Irsigler, Bernhard; Graß, Tobias; Zheng, Jun-Hui; Barbier, Mathieu; Hofstetter, Walter

doi:10.1103/physrevb.103.125132

Cited by 11 publications

(5 citation statements)

References 69 publications

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“…Possible future investigations could target systems with existing experimental and/or numerical results, e.g. twisted bilayer graphene [107][108][109][110], Weyl semimetals [111][112][113], nodal-loop semimetals [114,115], to name a few.…”

Section: Summary and Discussionmentioning

confidence: 99%

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

Szabo,

Roy

2021

Preprint

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Performing a leading-order renormalization group analysis, here we compute the effects of generic local or short-range electronic interactions in monolayer and Bernal bilayer graphene. Respectively in these two systems chiral quasiparticles display linear and biquadratic band touching, leading to linearly vanishing and constant density of states. Consequently, the former system remains stable for weak enough local interactions, and supports a variety of ordered phases only beyond a critical strength of interactions. By contrast, ordered phases can nucleate for sufficiently weak interactions in bilayer graphene. By tuning the strength of all symmetry allowed local interactions, we construct various cuts of the phase diagram at zero and finite temperature and chemical doping. Typically, at zero doping insulating phases (such as charge-density-wave, antiferromagnet, quantum anomalous and spin Hall insulators) prevail at the lowest temperature, while gapless nematic or smectic liquids stabilize at higher temperatures. On the other hand, at finite doping the lowest temperature ordered phase is occupied by a superconductor. Besides anchoring such an organizing principle among the candidate ordered phases, we also establish a selection rule between them and the interaction channel responsible for the breakdown of linear or biquadrtic chiral nodal Fermi liquid. In addition, we also demonstrate the role of the normal state band structure in selecting the pattern of symmetry breaking from a soup of preselected incipient competing orders. As a direct consequence of the selection rule, while an antiferromagnetic phase develops in undoped monolayer and bilayer graphene, the linear (biquadratic) band dispersion favors condensation of a spin-singlet nematic (translational symmetry breaking Kekulé) superconductor in doped monolayer (bilayer) graphene, when the on site Hubbard repulsion dominates in these systems. On the other hand, nearest-neighbor (next-nearest-neighbor) repulsion accommodates charge-density-wave (quantum spin Hall insulator) and s + if (s-wave) pairing at zero and finite chemical doping in both systems, respectively.

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Section: Summary and Discussionmentioning

confidence: 99%

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

Szabo,

Roy

2021

Preprint

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“…For example, DMFT was employed to study interaction effects in two-dimensional topological insulators [121], and to analyze the robustness of the Chern number in the Haldane-Hubbard model [122] as well as of the topological quantization of the Hall conductivity of correlated electrons at T > 0 [123]. Furthermore, to better understand the topological phase transition from a Weyl-semimetal to a Mott insulator the topological properties of quasiparticle bands were computed [124]. DMFT also made it possible to explore topological phase transitions in the Kitaev model in a magnetic field and to calculate the corresponding phase diagrams [125].…”

Section: Topological Properties Of Correlated Electron Systemsmentioning

confidence: 99%

Why Calculate in Infinite Dimensions?

Vollhardt¹

2022

Preprint

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“…Therefore it is of hight interest to study the effect of the local Hubbard interaction on the topological properties of the system. In particular, the following aspects have been studied: the time reversal invariant Hofstadter-Hubbard model [35][36][37][38][39] , the Haldane-Hubbard model [40][41][42][43] , the Kane-Mele-Hubbard model [44][45][46][47] , the interacting Rice-Mele model 48 , the Bernevig-Hughes-Zhang Hubbard model 49,50 , Weyl-Hubbard model 51 , SU(3) systems with artificial gauge fields 52,53 , and the Kondo lattice model [54][55][56] .…”

Section: Introductionmentioning

confidence: 99%

Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling

Titvinidze,

Legendre,

Hur

et al. 2022

Preprint

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We study the Hubbard model with time-reversal invariant flux and spin-orbit coupling and position-dependent onsite energies on the kagome lattice, using numerical and analytical methods. In particular, we perform calculations using real space dynamical mean-field theory (R-DMFT). To study the topological properties of the system, we use the topological Hamiltonian approach. We obtain a rich phase diagram: for weak and intermediate interactions, depending on the model parameters, the system is in the band insulator, topological insulator, or metallic phase, while for strong interactions the system is in the Mott insulator phase. We also investigate the magnetic phases that occur in this system. For this purpose, in addition to R-DMFT, we also use two analytical methods: perturbation theory for large interactions and onsite energies, and stochastic mean-field theory.

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Topological Mott transition in a Weyl-Hubbard model: Dynamical mean-field theory study

Cited by 11 publications

References 69 publications

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

Why Calculate in Infinite Dimensions?

Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling

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