Quantum Griffiths inequalities
Mathematical Physics
2016-06-29 v2 math.MP
Abstract
We present a general framework of Griffiths inequalities for quantum systems. Our approach is based on operator inequalities associated with self-dual cones and provides a consistent viewpoint of the Griffiths inequality. As examples, we discuss the quantum Ising model, quantum rotor model, Bose--Hubbard model, Hubbard model, and spin-1/2 quantum Heisenberg model. We present a model-independent structure that governs the correlation inequalities.
Cite
@article{arxiv.1507.05355,
title = {Quantum Griffiths inequalities},
author = {Tadahiro Miyao},
journal= {arXiv preprint arXiv:1507.05355},
year = {2016}
}
Comments
Revised and improved version, to appear in J. Stat. Phys