2007/10/31 by X. Jia, Xun Jia, A. R. Subramaniam +5 · 5 citations
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.77.014208
published as Phys. Rev. B 77, 014208 (2008) · v3, 5 pages, published version
openalex publication_date 2008/01/25 · arxiv created 2008/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the nonanalyticity of this entropy at disorder-dominated quantum phase transitions in noninteracting electronic systems. At these critical points, the von Neumann entropy is determined by the single particle wave function intensity, which exhibits complex scale invariant fluctuations. We find that the concept of multifractality is naturally suited for studying von Neumann entropy of the critical wave functions. Our numerical simulations of the three dimensional Anderson localization transition and the integer quantum Hall plateau transition show that the entanglement at these transitions is well described using multifractal analysis.