g-on Mean Field Theory of the t-J Model

TL;DR

This paper develops a mean-field theory for the t-J model incorporating gauge-field fluctuations, revealing doping-dependent statistics and the influence of dimensionality and interaction strength on the system's behavior.

Contribution

It introduces a novel approach attaching gauge flux to spinons and holons, determining optimal exclusion and exchange statistics across doping and temperature.

Findings

Slave fermion favored at low doping

Slave boson favored at high doping

Intermediate statistics found in 2D for Case1

Abstract

Implication of our recent proposal [J. Phys. Soc. Jpn. 65 (1996) 687] to treat large-amplitude gauge-field fluctuations around the slave-boson mean-field theory for the t-J model has been explored in detail. By attaching gauge flux to spinons and holons and then treating them as free g-on's which respect the time-reversal symmetry, the optimum exclusion (g) and exchange (\a) statistics have been determined in the plane of doping rate and temperature. Two different relations between \a and g have been investigated, namely g=|\a| (Case1) and g=|\a|(2-|\a|) (Case2). The results indicate that slave fermion is favored at low doping while slave boson at high doping. For two dimension, in Case1 intermediate statistics are found in between, while in Case2 no intermediate statistics are found. The consequences of varying the dimensionality and strength of J have been studied also. The latter has no qualitative effect for both cases, while the former has a profound effect in Case1.