Publication : t01/183

Quantum Thouless-Anderson-Palmer equations for glassy systems

Biroli G. (Center for Materials Theory, Department of Physics and Astronomy, Rutgers University, 136 Frelinghuysen Road, Piscataway, New Jersey 08854, USA)
Cugliandolo L.F. (Laboratoire de Physique Théorique (LPT), Ecole Normale Supérieure (ENS), 24 rue Lhomond, F-75005 Paris, FRANCE)
Abstract:
We derive Thouless-Anderson-Palmer (TAP) equations for quantum disordered systems. We apply them to the study of the paramagnetic and glassy phases in the quantum version of the spherical p spin-glass model. We generalize several useful quantities (complexity, threshold level, etc.) and various ideas (configurational entropy crisis, etc), that have been developed within the classical TAP approach, to quantum systems. The analysis of the quantum TAP equations allows us to show that the phase diagram (temperature-quantum parameter) of the p spin-glass model should be generic. In particular, we argue that a crossover from a second order thermodynamic transition close to the classical critical point to a first order thermodynamic transition close to the quantum critical point is to be expected in a large class of systems.
Année de publication : 2001
Publication extérieure au service
Revue : Phys. Rev. B 64 014206 (2001)
DOI : 10.1103/PhysRevB.64.014206
Preprint : arXiv:cond-mat/0011028
Lien : http://link.aps.org/abstract/PRB/v64/p014206
PACS : 5.10.Nr, 05.70.Fh, 42.50.Lc
Langue : Anglais

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