2009/02/09 by Barry Friedman, B. A. Friedman, Gregory Levine +1
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Coulomb #Entropy (arrow of time) #Landau quantization #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Symmetry protected topological order #Topological entropy in physics #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.1142/s0217979210056864
published as Int. J. Mod. Phys. B 24, 4707 (2010) · 5 pages, 4 figures
arxiv created 2009/02/09 · openalex publication_date 2010/09/30 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level is studied by direct diagonalization. The subdominant term of the area law, the topological entanglement entropy, which is believed to carry information about topological order in the ground state, was extracted for filling factors ν = 12/5 and ν = 7/3. While it is difficult to make strong conclusions about ν = 12/5, the ν = 7/3 state appears to be very consistent with the topological entanglement entropy for the k = 4 Read–Rezayi state. The effect of finite thickness corrections to the Coulomb potential used in the direct diagonalization is also systematically studied.