Gauge theory for quantum spin glasses

Satoshi Morita, Yukiyasu Ozeki, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The gauge theory for random spin systems is extended to quantum spin glasses to derive a number of exact and/or rigorous results. The transverse Ising model and the quantum gauge glass are shown to be gauge invariant. For these models, an identity is proved that the expectation value of the gauge invariant operator in the ferromagnetic limit is equal to the one in the classical equilibrium state on the Nishimori line. As a result, a set of inequalities for the correlation function are proved, which restrict the location of the ordered phase. It is also proved that there is no long-range order in the two-dimensional quantum gauge glass in the ground state. The phase diagram for the quantum XY Mattis model is determined.

Original languageEnglish
Article number014001
Journaljournal of the physical society of japan
Volume75
Issue number1
DOIs
Publication statusPublished - 2006 Jan
Externally publishedYes

Keywords

  • Correlation function
  • Gauge theory
  • Quantum spin system
  • Spin glass

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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