Ground state properties of the periodic Anderson model with electron-phonon interactions

Abstract

The periodic Anderson model (PAM) is a fundamental model describing heavy fermion systems. In this paper, we examine the PAM with electron-phonon interactions. Introducing a new analytical method based on operator inequalities, we prove that the ground state at half-filling is unique and a singlet. We also prove that the ground state exhibits short-range antiferromagnetism.

Minor revision

References in corpus (3)

• Rigorous results on the ground state of the attractive SU($N$) Hubbard model
• Electron-phonon interaction in Kondo lattice systems
• An algebraic approach to revealing magnetic structures of ground states in many-electron systems

Cited by in corpus (1)

• A unified theoretical framework for Kondo superconductors: Periodic Anderson impurities with attractive pairing and Rashba spin-orbit coupling