Supersymmetric approach to the infinite U Hubbard Model

Details Supersymmetric approach to the infinite U Hubbard Model Supersymmetric approach to the infinite U Hubbard Model

2001-10-04

arxiv.org/abs/cond-mat/0110099v1

Physics

Condensed Matter

Strongly Correlated Electrons

To appear in proceedings of SCES 2001

Scientific paper

10.1016/S0921-4526(01)01501-0

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.

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