Time-reversal invariant SU(2) Hofstadter problem in three-dimensional lattices

Article

关键词: INCOMPRESSIBLE QUANTUM FLUID;    QUANTIZED HALL CONDUCTANCE;    SINGLE DIRAC CONE;    TOPOLOGICAL-INSULATOR;    EDGE STATES;    MAGNETIC-FIELDS;    3 DIMENSIONS;    SURFACE;    REALIZATION;    BI2TE3;   

DOI  :  10.1103/PhysRevB.91.195133

来源: SCIE

【 摘 要 】

We formulate the three-dimensional SU(2) Landau level problem in cubic lattices with time-reversal invariance. By taking a Landau-type SU(2) gauge, the system can be reduced into one dimension, as characterized by the SU(2) generalization of the usual Harper equations with a periodic spin-dependent gauge potential. The surface spectra indicate the spatial separation of helical states with opposite eigenvalues of a lattice helicity operator. The band topology is investigated from both the analysis of the boundary helical Fermi surfaces and the calculation of the Z(2) index based on the bulk wave functions. The transition between a three-dimensional weak topological insulator to a strong one is studied as varying the anisotropy of hopping parameters.

【 授权许可】

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