Erratum: Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study [Phys. Rev. Lett.<b>106</b>, 100403 (2011)]

Hohenadler, Martin; Lang, Thomas C.; Assaad, F. F.

doi:10.1103/physrevlett.109.229902

Cited by 126 publications

(284 citation statements)

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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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Section: 2mentioning

confidence: 99%

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

et al. 2013

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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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“…Interaction induced topological phase transitions have been studied in various models, including the HaldaneHubbard model, 25,26 the Kane-Mele-Hubbard model [27][28][29][30][31][32] and the interacting Bernevig-Hughes-Zhang model.…”

Section: -21mentioning

confidence: 99%

Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study

Hung

Wang

et al. 2013

Phys. Rev. B

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We study a generalized Kane-Mele-Hubbard model with third-neighbor hopping, an interacting two-dimensional model with a topological phase transition as a function of third-neighbor hopping, by means of the determinant projector Quantum Monte Carlo (QMC) method. This technique is essentially numerically exact on models without a fermion sign problem, such as the one we consider. We determine the interaction-dependence of the Z2 topological insulator/trivial insulator phase boundary by calculating the Z2 invariants directly from the single-particle Green's function. The interactions push the phase boundary to larger values of third-neighbor hopping, thus stabilizing the topological phase. The observation of boundary shifting entirely stems from quantum fluctuations. We also identify qualitative features of the single-particle Green's function which are computationally useful in numerical searches for topological phase transitions without the need to compute the full topological invariant.

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Erratum: Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study [Phys. Rev. Lett.106, 100403 (2011)]

Cited by 126 publications

References 0 publications

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

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

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

Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study

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