Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder
Statistical Mechanics
2015-05-13 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved (arXiv:cond-mat/0612371) in the classical case. Consequences include monotone approach of pressure and ground state energy to the thermodynamic limit. Signs and bounds on the surface pressures for different boundary conditions are also derived for finite range potentials.
Cite
@article{arxiv.0906.5603,
title = {Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder},
author = {Pierluigi Contucci and Joel L. Lebowitz},
journal= {arXiv preprint arXiv:0906.5603},
year = {2015}
}
Comments
4 pages