Topological Order and Berry Connection (Reviews)

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Other Title
  • トポロジカル秩序とベリー接続 (解説)
  • トポロジカル秩序とベリー接続
  • トポロジカル チツジョ ト ベリー セツゾク

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Abstract

Characterization of quatum/spin liquids without any fundamental symmetry breaking is one of the focuses of modern condensed matter physics. Quantum Hall states, the Haldane spin chains and the topological insulators are typical examples. They are gapped as bulk but do have low energy modes as edge states with boundaries. This bulk-edge correspondence is characteristic to the topological quantum liquids. Also for gapped quantum liquids, topological order parameters are defined by adiabatic invariants such as the quantized Berry phases and the Chem numbers using the Berry connection of the many body wave function. We give a compact introduction of our related works.

Journal

  • Butsuri

    Butsuri 68 (1), 19-28, 2013

    The Physical Society of Japan

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