6533b82efe1ef96bd129299c

RESEARCH PRODUCT

Localization at low temperature and infrared bounds

Volker BachJacob Schach Møller

subject

PhysicsPhase transitionCondensed matter physicsSpinsInfraredStatistical and Nonlinear PhysicsMaxima and minimasymbols.namesakeLattice (order)Quantum mechanicssymbolsGibbs measureHamiltonian (quantum mechanics)Mathematical Physics

description

We consider a class of classical lattice spin systems, with Rn-valued spins and two-body interactions. Our main result states that the associated Gibbs measure localizes in certain cylindrical neighborhoods of the global minima of the unperturbed Hamiltonian. As an application we establish existence of a first order phase transition at low temperature, for a reflection positive mexican hat model on Zd, d⩾3, with a nonferromagnetic interaction.

yearjournalcountryeditionlanguage
2006-12-01Journal of Mathematical Physics
https://doi.org/10.1063/1.2364180