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Correlation Inequalities for the Quantum XY Model

We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.

Detalles Bibliográficos
Autores principales: Benassi, Costanza, Lees, Benjamin, Ueltschi, Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977339/
https://www.ncbi.nlm.nih.gov/pubmed/27546905
http://dx.doi.org/10.1007/s10955-016-1580-2
Descripción
Sumario:We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.