Low Energy Dynamics of the Spinon-Gauge System

TL;DR

This paper investigates the low-energy behavior of a spinon-gauge system relevant to high-temperature cuprates, revealing a solvable large-$n$ approximation with a nontrivial fixed point and no weak-coupling antiferromagnetic instability.

Contribution

It provides a solvable large-$n$ approximation of the spinon-gauge system, uncovering a nontrivial fixed point and stability against antiferromagnetic order at weak coupling.

Findings

Identifies a nontrivial fixed point in the large-$n$ limit.

Shows absence of antiferromagnetic instability at weak coupling.

Provides a solvable model for the low-energy dynamics of the system.

Abstract

The normal phase of the high-$T_c$ cuprates is apparently not described by Fermi liquid theory. It has been proposed that a dynamically generated gauge field must appear in the effective field theory. Even a simple spinon-gauge system is complicated, becoming strongly coupled at low energy. We show that in a large-$n$ approximation the theory can be solved and has a nontrivial fixed point. Also, we find that there is no antiferromagnetic instability at weak coupling.