Effects of Zeeman field on a Spin Bose-Metal phase

TL;DR

This paper investigates how a Zeeman magnetic field influences the stability and properties of a Spin Bose-Metal phase on a two-leg triangular ladder, revealing stable phases with gapful spin-1 excitations and power-law spin-nematic correlations.

Contribution

It provides a bosonization analysis of the Zeeman field effects on the Spin Bose-Metal phase, exploring phase stability and potential instabilities, and discusses two-dimensional analogues.

Findings

Spin-1 excitations are gapped under the field.

Spin-nematic correlations remain power-law.

Identifies possible phases from instabilities.

Abstract

We consider Zeeman field effects on a Spin Bose-Metal (SBM) phase on a two-leg triangular ladder. This phase was found in a spin-1/2 model with ring exchanges [D. N. Sheng et. al., Phys. Rev. B {\bf 79}, 205112 (2009)], and was also proposed to appear in an interacting electronic model with longer-ranged repulsion [Lai et. al., Phys. Rev. B {\bf 81}, 045105 (2010)]. Using bosonization of a spinon-gauge theory, we study the stability of the SBM phase and its properties under the field. We also explore phases arising from potential instabilities of the SBM; in all cases, we find a gap to spin-1 excitations while spin-nematic correlations are power law. We discuss two-dimensional analogues of these phases where spinons can pair with their own species.