The motion of holes on the triangular lattice: t-J model

TL;DR

This paper investigates the behavior of holes on a triangular lattice using the t-J model, combining analytical and numerical methods to understand single hole and finite density effects.

Contribution

It applies the Born self-consistent approximation, Lanczos diagonalization, and spiral theory to analyze hole motion on the triangular lattice, providing new insights into correlated electron systems.

Findings

Single hole physics characterized using multiple methods

Finite density of holes analyzed with spiral theory

Enhanced understanding of hole dynamics on triangular lattices

Abstract

The motion of holes on the triangular lattice is studied using the t-J model. Within the Born self-consistent approximation and the exact Lanczos diagonalization, the single hole physics is first analyzed. Then the spiral theory of Shraiman and Siggia is used to investigate the case of a finite density of holes.