Unified hydrodynamics theory of the lowest Landau level

TL;DR

This paper develops a unified hydrodynamics framework for various quantum Hall states, capturing their collective excitations and phase behaviors based on symmetry principles.

Contribution

It introduces a novel, symmetry-based hydrodynamics theory that unifies descriptions of multiple quantum Hall phases and predicts universal collective modes.

Findings

Predicts two gapped collective modes for incompressible liquids

Unifies description of liquids, liquid crystals, and solid states in quantum Hall systems

Aligns with recent experimental observations

Abstract

We propose a hydrodynamics theory of collective quantum Hall states, which describes incompressible liquids, hexatic liquid crystals, a bubble solid and a Wigner crystal states within a unified framework. The structure of the theory is uniquely determined by the space-time symmetry, and a symmetry with respect to static shear deformations. In agreement with recent experiments the theory predicts two gapped collective modes for incompressible liquids. We argue that the presence of the above two modes is a universal property of a magnetized two-dimensional collective liquid.