Ground state properties of the Holstein-Hubbard model

Abstract

We study the ground state properties of the Holstein-Hubbard model on some bipartite lattices at half-filling; The ground state is proved to exhibit ferrimagnetism whenever the electron-phonon interaction is not so strong. In addition, the antiferromagnetic long range order is shown to exist in the ground state. In contrast to this, we prove the absence of the long range charge order.

V3: Improved version, to appear in Annales Henri Poincare

References in corpus (1)

• Nagaoka's theorem in the Holstein-Hubbard model

Cited by in corpus (2)

• Solution of the "sign problem" for the half filled Hubbard-Holstein model
• Nagaoka's theorem in the Holstein-Hubbard model