Adiabatic heuristic principle on a torus and generalized Streda formula

Article

关键词: INCOMPRESSIBLE QUANTUM FLUID;    QUANTIZED HALL CONDUCTANCE;    FRACTIONAL-STATISTICS;    TOPOLOGICAL INVARIANT;    WAVE-FUNCTIONS;    ANYONS;    STATES;    DEGENERACY;    HIERARCHY;    ELECTRONS;   

DOI  :  10.1103/PhysRevB.102.125108

来源: SCIE

【 摘 要 】

Although the adiabatic heuristic argument of the fractional quantum Hall states has been successful, continuous modification of the statistics of anyons is strictly prohibited due to algebraic constraints of the braid group on a torus. We have numerically shown that the adiabatic heuristic principle for anyons is still valid even though the Hamiltonians cannot be modified continuously. The Chern number of the ground-state multiplet is the adiabatic invariant, while the number of the topological degeneracy behaves wildly. A generalized Streda formula is proposed that explains the degeneracy pattern. Nambu-Goldstone modes associated with the anyon superconductivity are also suggested numerically.

【 授权许可】

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