Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems

Details Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems

2004-01-13

arxiv.org/abs/cond-mat/0401211v4

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages. Final version, accepted for publication on Rev. Math. Phys

Scientific paper

10.1142/S0129055X04002060

We provide a very simple proof for the existence of the thermodynamic limit for the quenched specific pressure for classical and quantum disordered systems on a $d$-dimensional lattice, including spin glasses. We develop a method which relies simply on Jensen's inequality and which works for any disorder distribution with the only condition (stability) that the quenched specific pressure is bounded.

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