Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model

Zheng, Dong; Zhang, Guangming; Wu, Congjun

doi:10.1103/physrevb.84.205121

Cited by 181 publications

(144 citation statements)

References 41 publications

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“…Finite SO coupling λ = 0 drives the system into an easy-plane antiferromagnet with an ordering vector in the xy lattice plane [35], which has been confirmed by QMC [36,39], VCA [41], and pseudofermion functional renormalization group [66]. In order to compute the magnetic phase diagram within VCA, we apply antiferromagnetic Weiss-fields in x and z direction for various values of λ.…”

Section: B Xy Antiferromagnetmentioning

confidence: 79%

Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

et al. 2014

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Spin-orbit (SO) coupling is the crucial parameter to drive topological-insulating phases in electronic band models. In particular, the generic emergence of SO coupling involves the Rashba term which fully breaks the SU(2) spin symmetry. As soon as interactions are taken into account, however, many theoretical studies have to content themselves with the analysis of a simplified U(1)-conserving SO term without Rashba coupling. We intend to fill this gap by studying the Kane-Mele-Hubbard (KMH) model in the presence of Rashba SO coupling and present the first systematic analysis of the effect of Rashba SO coupling in a correlated two-dimensional topological insulator. We apply the variational cluster approach (VCA) to determine the interacting phase diagram by computing local density of states, magnetization, single particle spectral function, and edge states. Preceded by a detailed VCA analysis of the KMH model in the presence of U(1)-conserving SO coupling, we find that the additional Rashba SO coupling drives new electronic phases such as a metallic regime and a weak topological-semiconductor phase which persist in the presence of interactions.

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Section: B Xy Antiferromagnetmentioning

confidence: 79%

Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

et al. 2014

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“…In that limit the impurity bound state becomes a midgap state E b = 0 and the spectrum recovers electron-hole symmetry, for which ground state currents are not possible. 30 The cancellation of the edge current due to the contribution of the bulk states takes also place in the case of ribbons. However, a finite nonzero spin-current is obtained in our case for a wide range of V 0 close to what it is expected for absorption of atomic hydrogen in graphene.…”

Section: B Calculation Of the Currentmentioning

confidence: 98%

Impurity states in the quantum spin Hall phase in graphene

González

Fernández-Rossier

2012

Phys. Rev. B

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Two-dimensional insulators with time-reversal symmetry can have two topologically different phases, the quantum spin Hall and the normal phase. The former is revealed by the existence of conducting edge states that are topologically protected. Here we show that the reaction to impurity, in bulk, is radically different in the two phases and can be used as a marker for the topological phase. Within the context of the Kane-Mele model for graphene, we find that strictly normalizable in-gap impurity states only occur in the quantum spin Hall phase and carry a dissipationless current whose chirality is determined by the spin and pseudospin of the residing electron.

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“…We studied interaction effects in topological insulators, including the quantum Monte Carlo (QMC) simulation of the phase diagram of the Kane-Mele-Hubbard model [45], and the Kondo effect in the helical edge states of the topological insulators [57]. We are one of the first two groups to performing the QMC calculation to the interacting topological insulators.…”

Section: Summary Of the Most Important Resultsmentioning

confidence: 99%

“…Based on our past analytical work, we further performed the numerical simulations of quantum Monte Carlo (QMC) for the quantitative results of strong interaction effects in topological insulators [45]. Our work is one of the first two papers using QMC to study the interaction effects in topological insulators (The other one is by Assaad's group [46].…”

Section: Sign Problem Free Qmc Simulation To the Kane-mele-hubbard Modelmentioning

confidence: 99%

Novel Quantum States with Exotic Spin Properties - Unconventional Generalization of Magnetism

Li¹,

Hung²,

Cai³

et al. 2011

Self Cite

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. My group has investigated the unconventional meta-magnetic states in the Sr3Ru2O7 system, topological insulators, and superconductivity in iron-based superconductors. First, we constructed the microscopic mechanism of the nematic states in the Sr3Ru2O7 system based on its quasi-one-dimensional band structure. The calculated phase diagram agrees with the experimental observation. We performed the detailed theoretical analysis of the quasi-particle interference (QPI) spectroscopy of the STM measurement, which is in nice agreement with the Novel quantum states with exotic spin properties--Unconventional generalization of magnetism Report Title ABSTRACTMy group has investigated the unconventional meta-magnetic states in the Sr3Ru2O7 system, topological insulators, and superconductivity in iron-based superconductors. First, we constructed the microscopic mechanism of the nematic states in the Sr3Ru2O7 system based on its quasi-one-dimensional band structure. The calculated phase diagram agrees with the experimental observation. We performed the detailed theoretical analysis of the quasi-particle interference (QPI) spectroscopy of the STM measurement, which is in nice agreement with the experimental results. Second, we studied strong correlation effects in the 2D topological insulators by performing the sign-problem-free quantum Monte-Carlo simulations, and obtained the phase diagram. How the edge states are destabilized at an intermediate interaction strength is investigated. We have also constructed models of 3D topological insulators based on the generalization of Landau levels. The elegant analytical properties of Landau level provides a good starting point for the future study of fractional topological insulators in 3D. Third, we have investigated the unconventional superconductivity in iron-based superconductors. Time-reversal symmetry breaking states are proposed and the experimentally testable signatures are presented. We further provided a theory explanation of the anisotropic states observed in FeSe superconductors based on orbital ordering.

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Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model

Cited by 181 publications

References 41 publications

Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

Impurity states in the quantum spin Hall phase in graphene

Novel Quantum States with Exotic Spin Properties - Unconventional Generalization of Magnetism

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