Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-03-09
J. Phys. Soc. Jpn. 75 (2006) 123601
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 5 eps figures
Scientific paper
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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