Supersymmetric approach to the infinite U Hubbard Model

Abstract

We present a preliminary discussion on the use of supersymmetric representation of the Hubbard operator which unifies the slave boson and slave fermion representations into a single $U(1)\times SU(1|1)$ gauge theory to treat the physics of the infinite U Hubbard model. By looking for solutions to the Hamiltonian in which the spins can exist as both condensed ordered moments and as mobile charged carriers, we examine the possibility of a Nagaoka ferromagnetic phase at finite doping with a quantum critical point into the paramagnetic phase.

To appear in proceedings of SCES 2001

References in corpus (3)

• Thermodynamic properties of the planar $t-J$ model
• Supersymmetric spin operators
• Supersymmetric Hubbard Operators

Cited by in corpus (6)

• Resonating Valence Bond Theory of Superconductivity for Dopant Carriers: Application to the Cobaltates
• The splitting of electrons and violation of the Luttinger sum rule
• Fermi surface enlargement on the Kondo lattice
• Functional renormalization group for extremely correlated electrons
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• Stability of Nagaoka phase, spin effective action and delocalized free holes