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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

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Abstract

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.

Item Type: Article
Keywords: Entanglement; entropy; integer; Quantum Hall states;
Subjects: Science & Engineering > Experimental Physics
Science & Engineering > Mathematics
Item ID: 2164
Depositing User: Dr. Ivan Rodriguez
Date Deposited: 08 Oct 2010 15:18
Journal or Publication Title: Physical Review B
Publisher: American Physical Society
Refereed: Yes
URI:

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