Quantum lattice models at intermediate temperatures

Abstract

We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperatures and when the interactions are almost diagonal in a suitable basis. We study systems with continuous symmetry, but our results are valid for discrete symmetry breaking only. Such phase transitions occur at intermediate temperatures where the continuous symmetry is not broken, while at very low temperature continuous symmetry breaking may occur.

25 pages, 6 figures

References in corpus (5)

• Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
• Effective Hamiltonians and Phase Diagrams for Tight-Binding Models
• Effective interactions due to quantum fluctuations
• THE STAGGERED CHARGE-ORDER PHASE OF THE EXTENDED HUBBARD MODEL
• Analyticity in Hubbard models

Cited by in corpus (6)

• One-dimensional extended Hubbard model in the atomic limit
• Diversity of charge orderings in correlated systems
• The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model
• Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice $S=1/2$ Fermionic Gas
• Charge-Ordered States and the Phase Diagram of the Extended Hubbard Model on the Bethe lattice
• Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model