2017/06/30 by Zhao Liu, R. N. Bhatt · 17 citations
Physics and Astronomy · #Composite fermion #Condensed matter physics #Coulomb #Electron #Entropy (arrow of time) #Fractional quantum Hall effect #Ground state #Landau quantization #Phase transition #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum spin Hall effect #Thermodynamic limit #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.115111
published in Physical review. B./Physical review. B 96(11) (American Physical Society) · 12 pages, 10 figures, published version
arxiv created 2017/09/07 · openalex publication_date 2017/09/07 · arxiv updated 2017/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a detailed study of the ground-state entanglement in disordered fractional quantum Hall liquids. We consider electrons at various filling fractions f in the lowest Landau level, with Coulomb interactions. At f=1/3,1/5, and 2/5 where an incompressible ground-state manifold exists at zero disorder, we observe a pronounced minimum in the derivative of entanglement entropy with respect to disorder. At each filling, the position of this minimum is stable against increasing system size, but its magnitude grows monotonically and appears to diverge in the thermodynamic limit. We consider this behavior of the entropy derivative as a compelling signal of the expected disorder-driven phase transition from a topological fractional quantum Hall phase to an insulating phase. On the contrary, at f=1/2 where a compressible composite fermion sea is present at zero disorder, the entropy derivative exhibits much greater, almost chaotic, finite-size effects, without a clear phase transition signal for system sizes within our exact diagonalization limit. However, the dependence of entanglement entropy with system size changes with increasing disorder, consistent with the expectation of a phase transition from a composite fermion sea to an insulator. Finally, we consider f=1/7 where compressible Wigner crystals are quite competitive at zero disorder, and analyze the level statistics of entanglement spectrum at f=1/3.