Continuous and discontinuous transitions in generalized p-spin glass models

Abstract

We investigate the generalized p-spin models that contain arbitrary diagonal operators U with no reflection symmetry. We derive general equations that give an opportunity to uncover the behavior of the system near the glass transition at different (continuous) p. The quadrupole glass with J=1 is considered as an illustrating example. It is shown that the crossover from continuous to discontinuous glass transition to one-step replica breaking solution takes place at p=3.3 for this model. For p <2+Δp, where Δp= 0.5 is a finite value, stable 1RSB-solution disappears. This behaviour is strongly different from that of the p-spin Ising glass model.

http://iopscience.iop.org/1751-8121/47/7/075002/pdf/1751-8121_47_7_075002.pdf. arXiv admin note: text overlap with arXiv:1103.4308

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Cited by in corpus (2)

• Generalized Sherrington--Kirkpatrick-glass without reflection symmetry
• Full replica symmetry breaking in p-spin-glass-like systems