Exactly solvable model of a quantum spin glass

Details Exactly solvable model of a quantum spin glass Exactly solvable model of a quantum spin glass

1994-08-19

arxiv.org/abs/cond-mat/9408056v2

Physics

Condensed Matter

4 pages postscript. Revised version, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.74.4289

A 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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