Topological Entanglement Entropy in Bilayer Quantum Hall Systems

摘要

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 a finite-size scaling analysis of the topological entanglement entropy in order to see the quantum phase transition clearly.