Topological entanglement entropy in bilayer quantum Hall systems

摘要

We calculate the topological entanglement entropy in bilayer quantum Hallsystems, dividing the set of quantum numbers into four parts. This topologicalentanglement entropy allows us to draw a phase diagram in the parameter spaceof layer separation and tunneling amplitude. We perform the finite size scalinganalysis of the topological entanglement entropy in order to see the quantumphase transition clearly.