Metal to Insulator Transition in the 2-D Hubbard Model: A Slave Boson Approach

Details Metal to Insulator Transition in the 2-D Hubbard Model: A Slave Boson Approach Metal to Insulator Transition in the 2-D Hubbard Model: A Slave Boson Approach

1996-03-18

arxiv.org/abs/cond-mat/9603125v1

published in 'The Hubbard Model: Its Physics and Mathematical Physics' (Editors: D. Baeriswyl, D. K. Campbell, J. M. P. Carmel

Physics

Condensed Matter

8 pages, postscript

Scientific paper

We use the Kotliar-Ruckenstein slave boson technique to treat the strong correlation of the Hubbard model. In a first part we discuss the metal to insulator transition that is occurring on the honeycomb lattice at half filling. We find the critical value for the interaction strength to be U/t=3.1. Above it a gap opens in the spectrum which behaves like (U-U_c) in the vicinity of the transition, and like U for strong coupling. In a second part we calculate the phase diagram of the Hubbard model on the square lattice at finite temperature. The Mermin-Wagner theorem is fulfilled in the largest part of the phase diagram. In the strong coupling regime, the uniform magnetic susceptibility shows a maximum in its doping dependence in agreement with numerical simulations.

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