Incipient order in the t-J model at high temperatures

TL;DR

This study uses high-temperature series expansion to analyze susceptibilities in the t-J-V model, finding no strong evidence for high-temperature superconductivity and modest indications of nematic and d-density wave tendencies.

Contribution

It provides a detailed high-temperature series analysis of the t-J-V model, updating previous results and clarifying the absence of high-temperature superconductivity.

Findings

Superconducting susceptibilities are small and decrease with temperature for t>J.

Large susceptibilities are found in the unphysical regime t<J.

Evidence for nematic and d-density wave orders is modest.

Abstract

We analyze the high-temperature behavior of the susceptibilities towards a number of possible ordered states in the t-J-V model using the high-temperature series expansion. From all diagrams with up to ten edges, reliable results are obtained down to temperatures of order J, or (with some optimism) to J/2. In the unphysical regime, t<J, large superconducting susceptibilities are found, which moreover increase with decreasing temperatures, but for t>J, these susceptibilities are small and decreasing with decreasing temperature; this suggests that the t-J model does not support high-temperature superconductivity. We also find modest evidence of a tendency toward nematic and d-density wave orders. ERRATUM: Due to an error in the calculation, the series for d-wave supeconducting and extended s-wave superconducting orders were incorrect. We recalculate the series and give the replacement figures. In agreement with our earlier findings, we still find no evidence of any strong enhancement of the superconducting susceptibility with decreasing temperature. However, because different Pade approximants diverge from each other at somewhat higher temperatures than we originally found, it is less clear what this implies concerning the presence or absence of high-temperature superconductivity in the t-J model.