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- W3014188434 abstract "Although the adiabatic heuristic argument of the fractional quantum Hall states has been successful, continuous modification of the flux/statistics of anyons is strictly prohibited due to algebraic constrains of the braid group on a torus. We have numerically shown that the adiabatic principle for anyon is still valid even though the dimension of the Hilbert space changes irregularly. The Chern number of the ground state multiplet is the adiabatic invariant of this non-analytic evolution, while the number of the topological degeneracy behaves violently. A generalized Streda formula is proposed that explains the degeneracy pattern. Nambu-Goldston modes associated with the anyon superconductivity are also suggested numerically." @default.
- W3014188434 created "2020-04-10" @default.
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- W3014188434 date "2020-04-02" @default.
- W3014188434 modified "2023-09-27" @default.
- W3014188434 title "Non-Analytic Adiabatic Principle for Anyons" @default.
- W3014188434 hasPublicationYear "2020" @default.
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