RG and Stability in the Exciton Bose Liquid

TL;DR

This paper investigates the stability of the exciton Bose liquid phase in 2+1D using RG analysis, showing that it generally requires fine-tuning unless certain marginal interactions are added, with implications for higher dimensions.

Contribution

It introduces an RG scheme to analyze EBL stability and suggests that marginal interactions can stabilize the phase without fine-tuning.

Findings

Simple EBL formulation requires fine-tuning without large symmetry.

Adding marginal interactions can stabilize the EBL phase.

Discussion of a 3+1D generalization.

Abstract

The exciton Bose liquid (EBL) is a hypothesized phase of bosons in 2+1D which possesses a dispersion that is gapless along the coordinate axes in momentum space. The low energy theory of the EBL involves modes on all length scales, extending all the way down to the lattice spacing. In this note, we discuss an RG scheme that can be used to address the stability of this and related phases of matter. We argue that in the absence of an extensively large symmetry group, realizing the simplest formulation of the EBL always requires fine-tuning. However, we also argue that the addition of certain marginal interactions can likely be used to realize a stable phase, without the need for fine-tuning. A simple generalization to 3+1D is also discussed.