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Gauge Theory for Quantum Spin Glasses
Satoshi Morita, Yukiyasu Ozeki, Hidetoshi Nishimori
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 g…
Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
Pierluigi Contucci, Satoshi Morita, Hidetoshi Nishimori
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free…
Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture
Koujin Takeda, Tomohiro Sasamoto, Hidetoshi Nishimori
We present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combi…