Exactly Solvable Model of a Quantum Spin Glass
1995; American Physical Society; Volume: 74; Issue: 21 Linguagem: Inglês
10.1103/physrevlett.74.4289
ISSN1092-0145
Autores Tópico(s)Topological and Geometric Data Analysis
ResumoA mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick model. It thus exhibits replica symmetry breaking. The order parameter function is solved exactly in the whole low temperature phase. The zero field cooled susceptibility remains finite at low $T$. Next a quantum version of the system is considered. Whereas the magnetic properties are not altered qualitatively, the thermodynamics is now regular at small temperatures.
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