Quantum spin Hall insulators with interactions and lattice anisotropy

Wú, Wéi; Rachel, Stephan; Liu, Wu-Ming; Hur, Karyn Le

doi:10.1103/physrevb.85.205102

Cited by 150 publications

(240 citation statements)

References 60 publications

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“…The presence of a spin liquid phase has been supported by other works [3][4][5] using quantum cluster methods [6], such as the Variational Cluster Approximation (VCA) [7,8], the Cluster Dynamical Impurity Approximation (CDIA) [8,9] and Cluster Dynamical Mean Field Theory (CDMFT) [10][11][12][13]. Quantum cluster methods have been used extensively in the last decade to refine our understanding of the Mott-Hubbard transition and of competing orders (magnetism, superconductivity) in strongly correlated materials.…”

Section: Introductionmentioning

confidence: 70%

Absence of Spin Liquid in Nonfrustrated Correlated Systems

Hassan

Sénéchal

2013

Phys. Rev. Lett.

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The question of the existence of a spin liquid state in the half-filled Hubbard model on the honeycomb (aka graphene) lattice is revisited. The Variational Cluster Approximation (VCA), the Cluster Dynamical Mean Field Theory (CDMFT) and the Cluster Dynamical Impurity Approximation (CDIA) are applied to various cluster systems. Assuming that the spin liquid phase coincides with the Mott insulating phase in this non-frustrated system, we find that the Mott transition is pre-empted by a magnetic transition occuring at a lower value of the interaction U , and therefore the spin liquid phase does not occur. This conclusion is obtained using clusters with two bath orbitals connected to each boundary cluster site. We argue that using a single bath orbital per boundary site is insufficient and leads to the erroneous conclusion that the system is gapped for all nonzero values of U .

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Section: Introductionmentioning

confidence: 70%

Absence of Spin Liquid in Nonfrustrated Correlated Systems

Hassan

Sénéchal

2013

Phys. Rev. Lett.

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“…One of the current major issues is the influence of strong correlations upon these topological phases, because electron correlations under such non-trivial conditions are expected to spark new and exotic phenomena. This issue has further been stimulated by theoretical proposals for the realization of topological phases in d-and f -electron systems, [7][8][9][10][11] triggering theoretical studies on the competition between topological phases and long-range ordered phases [12][13][14][15][16][17][18][19][20][21] and topologically non-trivial phases induced by the Coulomb interaction.…”

Section: 2mentioning

confidence: 99%

Topological phase in a two-dimensional metallic heavy-fermion system

et al. 2013

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We report on a topological insulating state in a heavy-fermion system away from half-filling, which is hidden within a ferromagnetic metallic phase. In this phase, the cooperation of the RKKY interaction and the Kondo effect, together with the spin-orbit coupling, induces a spin-selective gap, bringing about topologically non-trivial properties. This topological phase is robust against a change in the chemical potential in a much wider range than the gap size. We analyze these remarkable properties by using dynamical mean field theory and the numerical renormalization group. Its topological properties support a gapless chiral edge mode, which exhibits a non-Tomonaga-Luttinger liquid behavior due to the coupling with bulk ferromagnetic spin fluctuations. We also propose that the effects of the spin fluctuations on the edge mode can be detected via the NMR relaxation time measurement.

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“…Indeed, ED has proven useful in studies of the Haldane-Hubbard model [17][18][19] and the π -flux model, 20 complementing other techniques such as quantum Monte Carlo and variational cluster approximation used in studies of the Hubbard and Kane-Mele-Hubbard models in the honeycomb lattice. 6,8,[21][22][23][24][25][26][27][28][29] Motivated by these results, and in particular by the interaction-driven phases found in existing mean-field calculations, in this work we study the spinless extended Hubbard model with both NN and NNN interactions in the honeycomb lattice at half-filling via ED of small finite-size systems. We will investigate and characterize the phase diagram for electronic phases that are driven by Coulomb interactions in the honeycomb lattice as an independent check for the mean-field picture.…”

Section: Introductionmentioning

confidence: 99%

Interaction-driven phases in the half-filled spinless honeycomb lattice from exact diagonalization

García-Martínez¹,

Grushin²,

Neupert³

et al. 2013

Phys. Rev. B

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We investigate the fate of interaction-driven phases in the half-filled honeycomb lattice for finite systems via exact diagonalization with nearest-and next-nearest-neighbor interactions. We find evidence for a charge density wave phase, a Kekulé bond order, and a sublattice charge-modulated phase in agreement with previously reported mean-field phase diagrams. No clear sign of an interaction-driven Chern insulator phase (Haldane phase) is found despite being predicted by the same mean-field analysis. We characterize these phases by their ground-state degeneracy and by calculating charge-order and bond-order correlation functions.

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Quantum spin Hall insulators with interactions and lattice anisotropy

Cited by 150 publications

References 60 publications

Absence of Spin Liquid in Nonfrustrated Correlated Systems

Absence of Spin Liquid in Nonfrustrated Correlated Systems

Topological phase in a two-dimensional metallic heavy-fermion system

Interaction-driven phases in the half-filled spinless honeycomb lattice from exact diagonalization

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