2014/03/31 by Eric C. Andrade, Eric C Andrade, Mark Steudtner +1 · 19 citations
Computer Science · Physics and Astronomy · #Anderson impurity model #Anderson localization #Entropy (arrow of time) #Fermion #Generalization #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Spectrum (functional analysis) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2014/07/p07022
published in Journal of Statistical Mechanics Theory and Experiment 2014(7), P07022 (Institute of Physics) · 8 pages, 4 figures. Contribution to J. Stat. Mech. special issue "Quantum Entanglement in Condensed Matter Physics". Minor changes. References added
openalex publication_date 2014/07/24 · arxiv created 2014/08/04 · arxiv updated 2014/08/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the wave function, we follow a recent proposal to study momentum-space entanglement. For a D = 1 model with long-range disorder correlations, both the entanglement spectrum and the entanglement entropy allow us to clearly distinguish between extended and localized states based upon a single realization of disorder. However, for other models, including the D = 2 case with long-range correlated disorder, we find that the method is not similarly successful. We analyze the reasons for its failure, concluding that the much desired generalization to higher dimensions may be problematic.