Nagaoka's theorem in the Holstein-Hubbard model

Abstract

Nagaoka's theorem on ferromagnetism in the Hubbard model is extended to the Holstein-Hubbard model. This shows that Nagaoka's ferromagnetism is stable even if the electron-phonon interaction is taken into account. We also prove that Nagaoka's ferromagnetism is stable under the influence of the quantized radiation field.

23 pages. V3: Improved version, to appear in Annales Henri Poincare

References in corpus (4)

• Nagaoka states in the SU($n$) Hubbard model
• Quantum Griffiths inequalities
• Ground state properties of the Holstein-Hubbard model
• Correlation inequalities for Schrödinger operators

Cited by in corpus (6)

• Ground state properties of the Holstein-Hubbard model
• Correlation inequalities for Schrödinger operators
• An algebraic approach to revealing magnetic structures of ground states in many-electron systems
• Thermal stability of the Nagaoka-Thouless theorems
• Stability of good quantum numbers in ground states
• Stability of ferromagnetism in many-electron systems