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Quantized Berry Phases as Local Order Parameters of Quantum Liquids

Yasuhiro Hatsugai
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Abstract

We propose to use quantized Berry phases as local order parameters of gapped quantum liquids, which are invariant under some anti-unitary operation. After presenting a general prescription, the scheme is applied for Heisenberg models with frustrations and two dimensional extended Su-Schrieffer-Heeger models associated with a random dimer covering. In each phases, the quantized Berry phases, as 0 or $π$, describe the ground state texture pattern of local singlet bonds and dimer bonds. Also possible applications to large classes of correlated electron systems are discussed.

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BibTeXRIS

Yasuhiro Hatsugai. 2006-03-09. Quantized Berry Phases as Local Order Parameters of Quantum Liquids. https://doi.org/10.1143/jpsj.75.123601

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