Charged and spin-excitation gaps in half-filled strongly correlated electron systems: A rigorous result

Abstract

By exploiting the particle-hole symmetries of the Hubbard model, the periodic Anderson model and the Kondo lattice model at half-filling and applying a generalized version of Lieb's spin-reflection positivity method, we show that the charged gaps of these models are always larger than their spin excitation gaps. This theorem confirms the previous results derived by either the variational approach or the density renormalization group approach.

20 pages, no figure

References in corpus (6)

• BCS Superconductivity with Fixed Number Parity
• Competition Between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half-Filling
• Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons
• The Stability of the Peierls Instability for Ring-Shaped Molecules
• On the flux phase conjecture at half-filling: an improved proof
• Phase Diagram of the 1D Anderson Lattice

Cited by in corpus (3)

• Periodic Anderson model with correlated conduction electrons: variational and exact diagonalization study
• Interorbital interaction in the one-dimensional periodic Anderson model: A density-matrix renormalization-group study
• Ground state properties of the periodic Anderson model with electron-phonon interactions