Two- and three-dimensional topological insulators with isotropic and parity-breaking Landau levels

Li, Yi; Zhou, Xiang-Fa; Wu, Congjun

doi:10.1103/physrevb.85.125122

Cited by 43 publications

(43 citation statements)

References 56 publications

(101 reference statements)

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“…The STM spectra in the helical surface states of Bi 2 Te 3 are calculated in a good agreement with experiments [85]. We also generalize the usual Landau level to three dimensions, which is a 3D topological insulators with flat bands [59,60]. These results are published in Ref.…”

Section: Summary Of the Most Important Resultssupporting

confidence: 71%

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

Li¹,

Hung²,

Cai³

et al. 2011

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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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Section: Summary Of the Most Important Resultssupporting

confidence: 71%

“…Usually, LLs are based on the planar structure subjected to the external magnetic field, thus it is not easy to generalize to 3D. Nevertheless, we have made a breakthrough successfully generating LLs to 3D with the full rotational symmetry [59,60].…”

Section: Topological Insulators From 3d Isotropic Landau Levelsmentioning

confidence: 99%

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

Li¹,

Hung²,

Cai³

et al. 2011

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“…More exotic forms of SOC, such as a three-dimensional (3D) SOC, which have not been observed in natural condensed matter systems, have also attracted some attention recently in bosonic systems [39][40][41][42][43][44][45]. With the recent proposals for implementing 3D SOC in ultracold atomic gases [46][47][48][49][50], it * wzhangl@ruc.edu.cn † wyiz@ustc.edu.cn is hoped that interesting physical effects like 3D topological insulators [8], Weyl semimetals [51], or pairing physics in a Fermi gas, etc. [37], could be investigated in these systems.…”

Section: Introductionmentioning

confidence: 99%

Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling

et al. 2013

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We investigate properties of exotic pairing states in a three-dimensional Fermi gas with three-dimensional spin-orbit coupling and an effective Zeeman field. The interplay of spin-orbit coupling, effective Zeeman field, and pairing can lead to first-order phase transitions between different phases, and to interesting nodal superfluid states with gapless surfaces in the momentum space. We then demonstrate that pairing states with zero center-of-mass momentum are unstable against Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, with a finite center-of-mass momentum opposite to the direction of the effective Zeeman field. Unlike conventional FFLO states, these FFLO states are induced by the coexistence of spin-orbit coupling and Fermi surface deformation, and have intriguing features like first-order transitions between different FFLO states, nodal FFLO states with gapless surfaces in momentum space, and exotic fully gapped FFLO states. With the recent theoretical proposals for realizing three-dimensional spin-orbit coupling in ultracold atomic gases, our work is helpful for future experimental studies and provides valuable information for the general understanding of pairing physics in spin-orbit-coupled fermionic systems.

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“…In Ref. [16], the authors discuss the mapping between a H 0 and 2D LL Hamiltonian in a rigorous fashion and generalize the terminology of LLs as "topological single-particle level structures labeled by angular momentum quantum numbers with flat or nearly flat spectra." Making use of this generalization, we term the n = 0 manifold as the lowest LL structure (LLL), the n = 1 manifold as the next highest LL, and so on.…”

Section: Single-particle Solutionsmentioning

confidence: 99%

“…(1) is gauge equivalent to particles subject to a pure non-Abelian vector potential that preserves T symmetry. Proposals to realize vector potentials of similar forms have been addressed by multiple groups [8,[15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Emergence of topological and strongly correlated ground states in trapped Rashba spin-orbit-coupled Bose gases

Ramachandhran

2013

Phys. Rev. A

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We theoretically study an interacting few-body system of Rashba spin-orbit-coupled two-component Bose gases confined in a harmonic trapping potential. We solve the interacting Hamiltonian at large Rashba coupling strengths using an exact-diagonalization scheme, and obtain the ground-state phase diagram for a range of interatomic interactions and particle numbers. At small particle numbers, we observe that the bosons condense to an array of topological states with n + 1/2 quantum angular momentum vortex configurations, where n = 0,1,2,3, . . .. At large particle numbers, we observe two distinct regimes: at weaker-interaction strengths, we obtain ground states with topological and symmetry properties that are consistent with mean-field theory computations; at stronger-interaction strengths, we report the emergence of strongly correlated ground states.

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Two- and three-dimensional topological insulators with isotropic and parity-breaking Landau levels

Cited by 43 publications

References 56 publications

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

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

Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling

Emergence of topological and strongly correlated ground states in trapped Rashba spin-orbit-coupled Bose gases

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