Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-10-22
Phys. Rev. B 78, 035320 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 6 figures; improved computations and graphics; added references
Scientific paper
10.1103/PhysRevB.78.035320
The entanglement entropy of the incompressible states of a realistic quantum Hall system are studied by direct diagonalization. The subdominant term to the area law, the topological entanglement entropy, which is believed to carry information about topologic order in the ground state, was extracted for filling factors 1/3, 1/5 and 5/2. The results for 1/3 and 1/5 are consistent with the topological entanglement entropy for the Laughlin wave function. The 5/2 state exhibits a topological entanglement entropy consistent with the Moore-Read wave function.
Friedman B. A.
Levine Gregory C.
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