Non-Fermi-Liquid-Like Behavior in The Two-Dimensional t-J Model

TL;DR

This study investigates the ground state properties of the two-dimensional t-J model, revealing non-Fermi-liquid behavior similar to one-dimensional systems and highlighting the relevance of Tomonaga-Luttinger liquid phenomenology.

Contribution

It provides the first detailed numerical analysis of the 2D t-J model's correlation functions, demonstrating non-Fermi-liquid behavior and its connection to Luttinger liquid theory.

Findings

Ground state correlations resemble 1D t-J model

Results support non-Fermi-liquid phenomenology

Incompatibility with traditional Fermi liquid theory

Abstract

The spin, charge and pairing correlation functions for the ground state of two-dimensional $t-J$ model are calculated by using the power method which projects out the ground state from a variational wave function. ``Exact'' results are obtained for $10\times10$ and $8\times8$ lattices with low particle densities. The results are surprisingly similar to that of one-dimensional $t-J$ model. The phenomenology is almost perfectly correlated with the concept of Tomonaga-Luttinger liquid and it is incompatible with traditional Fermi liquid theory.