Phase diagram of the Kane-Mele-Hubbard model

Griset, Christian; Xu, Cenke

doi:10.1103/physrevb.85.045123

Cited by 53 publications

(63 citation statements)

References 47 publications

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“…In the context of correlation effects on TBIs, the competition between long-range ordered phases and TBIs have been addressed. [22][23][24][25][26][27][28][29][30] For example, a competition between an antiferromagnetic (AF) phase and the TBI phase was studied by numerical approaches as well as mean field theory. In a quantum Monte Carlo study by Hohenadler et al, 23 it was clarified that the TBI phase can change into a topologically trivial AF phase.…”

Section: -16mentioning

confidence: 99%

Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model

et al. 2013

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Topological properties of antiferromagnetic phases are studied for a correlated topological band insulator by applying the dynamical mean field theory to an extended Bernevig-Hughes-Zhang model including the Hubbard interaction. The calculation of the magnetic moment and the spin Chern number confirms the existence of a non-trivial antiferromagnetic (AF) phase beyond the Hartree-Fock theory. In particular, we uncover the intriguing fact that the topologically non-trivial AF phase is essentially stabilized by correlation effects but not by the Hartree shifts alone. This counterintuitive effect is demonstrated, through a comparison with the Hartree-Fock results, and should apply for generic topological insulators with strong correlations.

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Section: -16mentioning

confidence: 99%

Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model

et al. 2013

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“…The strong coupling (large Coulomb interaction) and weak coupling (small Coulomb interaction) limits of this model are charachterized by anti-ferromagnetic Mott insulator (AFMI) and topological band insulator (TBI) phases, respectively. For intermediate Coulomb interactions and weak spin-orbit coupling a gapped QSL phase has been proposed for his model 36 .…”

Section: J2 J1mentioning

confidence: 99%

“…Kane-Mele-Hubbard model, is an example of such models which recently has been studied by various methods [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] . The strong coupling (large Coulomb interaction) and weak coupling (small Coulomb interaction) limits of this model are charachterized by anti-ferromagnetic Mott insulator (AFMI) and topological band insulator (TBI) phases, respectively.…”

Section: J2 J1mentioning

confidence: 99%

Valence bond phases inS= 1/2 Kane–Mele–Heisenberg model

Zare

Mosadeq

Shahbazi

et al. 2014

J. Phys.: Condens. Matter

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The phase diagram of Kane-Mele-Heisenberg (KMH) model in classical limit 47 , contains disordered regions in the coupling space, as the result of to competition among different terms in the Hamiltonian, leading to frustration in finding a unique ground state. In this work we explore the nature of these phase in the quantum limit, for a S = 1/2. Employing exact diagonalization (ED) in Sz and nearest neighbor valence bond (NNVB) bases, bond and plaquette valence bond mean field theories, We show that the disordered regions are divided into ordered quantum states in the form of plaquette valence bond crystal (PVBC) and staggered dimerized (SD) phases.

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“…(38,39), and (40), which means that there is a flux ϕ inside the 2D torus T 23 . First, let us take ϕ ¼ ϕ 0 ≡ 2π.…”

Section: Appendix: Application In a Three-dimensional Noninteracting mentioning

confidence: 99%

Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus

Wang

Zhang

2014

Phys. Rev. X

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We define topological invariants in terms of the ground-state wave functions on a torus. This approach leads to precisely defined formulas for the Hall conductance in four dimensions and the topological magnetoelectric θ term in three dimensions, and their generalizations in higher dimensions. They are valid in the presence of arbitrary many-body interactions and disorder. These topological invariants systematically generalize the two-dimensional Niu-Thouless-Wu formula and will be useful in numerical calculations of disordered topological insulators and strongly correlated topological insulators, especially fractional topological insulators.

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Phase diagram of the Kane-Mele-Hubbard model

Cited by 53 publications

References 47 publications

Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model

Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model

Valence bond phases inS= 1/2 Kane–Mele–Heisenberg model

Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus

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