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These two wave functions are related by a phase factor:|p,−⟩II =e−iφ(p)|p,−⟩I, where,φ(p) = arg(h)

In gaugeI, the wave functions|p,−⟩I is not well-defined at the north pole whereh = 0, h3 is positive, while in gaugeII, the wave function|p,−⟩II is not well-defined at the south p

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Connection between the winding number and the Chern number

cond-mat.mes-hall · 2019-08-19 · conditional · novelty 4.0

The Chern number of a two-band model equals the difference of its 1D winding numbers at two chiral-symmetric momenta, and boundary-adapted unit cells make the 1D bulk-edge correspondence work in finite extended SSH chains.

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  • Connection between the winding number and the Chern number cond-mat.mes-hall · 2019-08-19 · conditional · none · ref 3

    The Chern number of a two-band model equals the difference of its 1D winding numbers at two chiral-symmetric momenta, and boundary-adapted unit cells make the 1D bulk-edge correspondence work in finite extended SSH chains.