Coexistence of long-range order for two observables at finite temperatures

DOI10.1088/0305-4470/32/5/007zbMATH Open0963.82006arXivcond-mat/9811376OpenAlexW3098126193MaRDI QIDQ4258402

C.-A. Piguet, Nicolas Macris

Publication date: 3 July 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: We give a criterion for the simultaneous existence or non existence of two long-range orders for two observables, at finite temperatures, for quantum lattice many body systems. Our analysis extends previous results of G.-S. Tian limited to the ground state of similar models. The proof involves an inequality of Dyson-Lieb-Simon which connects the Duhamel two-point function to the usual correlation function. An application to the special case of the Holstein model is discussed.

Full work available at URL: https://arxiv.org/abs/cond-mat/9811376

zbMATH Keywords

observablesHolstein modelfinite temperaturesDuhamel two-point functioninequality of Dyson-Lieb-Simonlong-range ordersquantum lattice many body systems

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

This page was built for publication: Coexistence of long-range order for two observables at finite temperatures

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4258402)