Regensburg 2016 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 35: Correlated Electrons: Quantum-Critical Phenomena - Theory
TT 35.7: Talk
Tuesday, March 8, 2016, 15:30–15:45, H21
Many-body localization from one particle density matrix — •Soumya Bera1, Henning Schomerus2, Fabian Heidrich-Meisner3, and Jens Bardarson1 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Lancaster University, Lancaster, United Kingdom — 3Ludwig-Maximilians-Universitaet Munchen, Munich, Germany
We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in isolated fermionic systems. The natural orbitals (the eigenstates) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues) reveals the distinctive Fock- space structure of the many-body eigenstates, exhibiting a step-like discontinuity in the localized phase. The associated one-particle occupation entropy is small in the localized phase and large in the delocalized phase, with diverging fluctuations at the transition.