Topological entropy of realistic quantum Hall wave functions

Details Topological entropy of realistic quantum Hall wave functions Topological entropy of realistic quantum Hall wave functions

2007-10-22

arxiv.org/abs/0710.4071v2

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.

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