Entanglement entropy of integer Quantum Hall states
Rodriguez, Ivan and Sierra, German (2009) Entanglement entropy of integer Quantum Hall states. Physical Review B, 80 . 153303.1-153303.4. ISSN 1098-0121
We compute the entanglement entropy, in the real space, of the ground state of the integer Quantum Hall states for three different domains embedded in the cylinder, the disk and the sphere. We establish the validity of the area law with a vanishing value of the topological entanglement entropy. The entropy per unit length of the perimeter depends on the filling fraction, but it is independent of the geometry.
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