Fractional statistics of charge carriers in the one- and two-dimensional t-J model. A hint for the cuprates?

Abstract

We show that we can interpret the exact solution of the one-dimensional t-J model in the limit of small J in terms of charge carriers with both exchange (braid) and exclusion (Haldane) statistics with parameter 1/2. We discuss an implementation of the same statistics in the two-dimensional t-J model, emphasizing similarities and differences with respect to one dimension. In both cases the exclusion statistics is a consequence of the no-double occupation constraint. We argue that the application of this formalism to hole-doped high Tc cuprates and the derived composite nature of the hole give a hint to grasp many unusual properties of these materials.

References in corpus (6)

• Modeling the Fermi arc in underdoped cuprates
• Scaling analysis of normal state properties of high-temperature superconductors
• Phase String Theory for Doped Antiferromagnets
• Spin-charge gauge approach to metal-insulator crossover and transport properties in High-T${}_c$ cuprates
• Charge carriers with fractional exclusion statistics in cuprates
• Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory