On the spin density wave transition in a two dimensional spin liquid

TL;DR

This paper investigates the transition from a two-dimensional spin liquid to a spin density wave state, analyzing critical behavior and comparing theoretical predictions with experimental data on high-temperature superconductors.

Contribution

It provides a self-consistent analysis of the second-order transition and determines critical behavior of susceptibility and NMR rates in this context.

Findings

Critical behavior of $2p_F$ susceptibility characterized.

NMR rates $T_1$ and $T_2$ analyzed near transition.

Comparison with experimental data on high $T_c$ materials.

Abstract

Strongly correlated two dimensional electrons are believed to form a spin liquid in some regimes of density and temperature. As the density is varied, one expects a transition from this spin liquid state to a spin density wave antiferromagnetic state. In this paper we show that it is self-consistent to assume that this transition is second order and, on this assumption, determine the critical behavior of the $2p_F$ susceptibility, the NMR rates $T_1$ and $T_2$ and the uniform susceptibility. We compare our results to data on high $T_c$ materials.