Stability of the spiral phase in the 2D extended t-J model

TL;DR

This paper investigates the stability of the spiral magnetic phase in the 2D extended t-J model at low doping, revealing how certain parameters influence magnetic and charge stability through perturbative analysis.

Contribution

It demonstrates that t' and t'' parameters stabilize the spiral phase above a critical value, incorporating effects of hole interactions and quantum fluctuations.

Findings

t' and t'' stabilize the spiral phase above 0.2J

Hole-hole interactions expand the charge stability region

Quantum fluctuations ensure magnetic stability

Abstract

We analyze the t-t'-t''-J model at low doping by chiral perturbation theory and show that the (1,0) spiral state is stabilized by the presence of t',t'' above critical values around 0.2J, assuming t/J=3.1. We find that the (magnon mediated) hole-hole interactions have an important effect on the region of charge stability in the space of parameters t',t'', generally increasing stability, while the stability in the magnetic sector is guaranteed by the presence of spin quantum fluctuations (order from disorder effect). These conclusions are based on perturbative analysis performed up to two loops, with very good convergence.