Quantum Spherical Spin Glass.Supersymmetry and Annealing

Details Quantum Spherical Spin Glass.Supersymmetry and Annealing Quantum Spherical Spin Glass.Supersymmetry and Annealing

2007-01-25

arxiv.org/abs/cond-mat/0701627v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, 6 figures, to be published in Phys.Rev.B

Scientific paper

We show that the effective action of the quantum spherical spin glass is invariant under a generalized form of the Becchi-Rouet-Stora-Tyutin(BRST) supersymmetry. The Ward identities associated to this invariance indicate that the spin glass order parameter must vanish, and as a result the annealed average is exact in this model. We present new results for for the free energy, entropy and specific heat. Due to quantum effects the entropy remains finite and the specific het vanishes at zero temperature. results for the phase diagram coincide with those obtained by different formalisms. At zero temperature we derive the scaling behaviour with frequency of the dynamical susceptibility.

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