Quantum disordering of the 111 state and the compressible-incompressible transition in quantum Hall bilayer systems

TL;DR

This paper investigates quantum disordered states in quantum Hall bilayers at total filling factor 1, revealing a vortex metal state with algebraic off-diagonal long-range order that explains experimental superfluid-like behaviors.

Contribution

It introduces the vortex metal state with algebraic ODLRO and analyzes its transport properties, providing a new understanding of quantum disordering in bilayer systems.

Findings

Vortex metal state exhibits algebraic off-diagonal long-range order

Explains persistent interlayer correlations in experiments

Reveals transport properties relevant to superfluid behavior

Abstract

We systematically discuss properties of quantum disordered states of the quantum Hall bilayer at \nu_T = 1. For one of them, so-called vortex metal state, we find ODLRO (off-diagonal long-range order) of algebraic kind, and derive its transport properties. It is shown that this state is relevant for the explanation of the "imperfect" superfluid behavior, and persistent intercorrelations, for large distances between layers, that were found in experiments.