TY - JOUR
T1 - Gauge theory for quantum spin glasses
AU - Morita, Satoshi
AU - Ozeki, Yukiyasu
AU - Nishimori, Hidetoshi
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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.
KW - Correlation function
KW - Gauge theory
KW - Quantum spin system
KW - Spin glass
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U2 - 10.1143/JPSJ.75.014001
DO - 10.1143/JPSJ.75.014001
M3 - Article
AN - SCOPUS:30344445976
VL - 75
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 1
M1 - 014001
ER -