Correlation functions for 1d interacting fermions with spin-orbit coupling

TL;DR

This paper calculates correlation functions in 1D interacting fermions with spin-orbit coupling, revealing how spin-orbit interaction alters phase behavior and dominant fluctuations at low temperatures.

Contribution

It provides a detailed analysis of how spin-orbit coupling modifies correlation functions and phase diagrams in 1D electron systems.

Findings

Spin-orbit coupling changes the exponents of correlation functions.

New susceptibilities diverge at low temperature due to spin-orbit effects.

The phase diagram and dominant fluctuations are significantly altered.

Abstract

We compute correlation functions for one-dimensional electron systems which spin and charge degrees of freedom are coupled through spin-orbit coupling. Charge density waves, spin density waves, singlet- triplet- superconducting fluctuations are studied. We show that the spin-orbit interaction modify the exponents and the phase diagram of the system, changing the dominant fluctuations and making new susceptibilities diverge for low temperature.