New Magneto-Roton Modes in the "Ribault Phase" of the Ultra Quantum Crystal

TL;DR

This paper reveals that the 'Ribault Phases' of the Ultra Quantum Crystal exhibit at least two Magneto-Roton modes with energies linearly dependent on magnetic field, differing from majority sign phases, indicating novel quantum properties.

Contribution

It demonstrates the existence of multiple Magneto-Roton modes in the Ribault Phases and characterizes their unique magnetic field dependence, expanding understanding of quantum Hall effects in these materials.

Findings

Ribault Phases have at least two Magneto-Roton modes.

Magneto-Roton energies vary linearly with magnetic field.

Magneto-Roton modes have opposite signs in their field dependence.

Abstract

The Ultra Quantum Crystal phases observed in quasi-one-dimensional conductors of the Bechgaard salts family under magnetic field exhibit both Spin Density Wave order and a Quantized Hall Effect. As a result, they also possess a Magneto-Roton mode within the single particle gap, and the usual Goldstone modes. The sign reversals of the Quantum Hall Effect have recently been explained within the Quantized Nesting Model. I show here that the sign reversed phases of the Ultra Quantum Crystal (the "Ribault Phases") have novel properties compared to the majority sign phases. They exhibit at least two Magneto-Roton modes, the energy of which, relative to the single particle gap, vary linearly with the magnetic field, with opposite signs, in contrast to the field dependence in the majority sign phases