Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantized Berry Phases as Local Order Parameters of Quantum Liquids   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 $\pi$, 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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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin