Thermal stability of the Nagaoka-Thouless theorems

Abstract

We prove that the Aizenman-Lieb theorem on ferromagnetism in the Hubbard model holds true even if the electron-phonon interactions and the electron-photon interactions are taken into account. Our proof is based on path integral representations of the partition functions.

Improved version, 44 pages

References in corpus (5)

• Nagaoka ferromagnetism observed in a quantum dot plaquette
• Universality of the Hall conductivity in interacting electron systems
• Nagaoka states in the SU($n$) Hubbard model
• Nagaoka's theorem in the Holstein-Hubbard model
• Note on the Retarded van der Waals Potential within the Dipole Approximation