Topological Phase Transition in the $\nu=2/3$ Quantum Hall Effect

TL;DR

This paper investigates phase transitions in the double layer $ u=2/3$ fractional quantum Hall system, revealing how varying layer separation and tunneling induce transitions between distinct ground states, with implications for experiments.

Contribution

It introduces a combined edge state and finite-size diagonalization approach to analyze phase transitions in the double layer $ u=2/3$ quantum Hall system.

Findings

Transitions between three ground states are observed.

Layer separation and tunneling significantly affect the ground state.

Experimental implications of the phase transitions are discussed.

Abstract

The double layer $\nu=2/3$ fractional quantum Hall system is studied using the edge state formalism and finite-size diagonalization subject to periodic boundary conditions. Transitions between three different ground states are observed as the separation as well as the tunneling between the two layers is varied. Experimental consequences are discussed.