Supersolid of indirect excitons in electron-hole quantum Hall systems

TL;DR

This paper explores the phase diagram of balanced electron-hole systems in quantum Hall regimes, revealing excitonic condensate, supersolid, and Wigner crystal phases, and analyzing their properties and phase transitions.

Contribution

It provides the first semi-quantitative phase diagram of excitonic supersolids in quantum Hall systems using mean-field theory.

Findings

Identification of excitonic supersolid phase across various filling factors

Observation of phase transition marked by changes in ground state stiffness

First semi-quantitative determination of excitonic supersolid properties

Abstract

We investigate the ground state of a balanced electron-hole system in the quantum Hall regime using mean-field theory and obtain a rich phase diagram as a function of interlayer distance d and the filling factor within a layer. We identify an excitonic condensate phase, an excitonic supersolid phase, as well as uncorrelated Wigner crystal states. We find that balanced electron-hole system exhibits a supersolid phase a wide range of filling factors, with different crystal structure ground states. We obtain the ground state stiffness in the excitonic phases and show that the phase transitions from a uniform condensate to a supersolid is accompanied by a marked change in the stiffness. Our results provide the first semi-quantitative determination excitonic supersolid phase diagram and properties.