Topological entanglement entropy in bilayer quantum Hall systems

TL;DR

This paper computes the topological entanglement entropy in bilayer quantum Hall systems to map phase diagrams and analyze quantum phase transitions through finite size scaling.

Contribution

It introduces a method to calculate topological entanglement entropy in bilayer systems and uses it to identify phase boundaries and quantum phase transitions.

Findings

Topological entanglement entropy varies with layer separation and tunneling amplitude.

Phase diagram of bilayer quantum Hall system constructed from entanglement entropy.

Finite size scaling reveals clear signatures of quantum phase transitions.

Abstract

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer separation and tunneling amplitude. We perform the finite size scaling analysis of the topological entanglement entropy in order to see the quantum phase transition clearly.