Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Many-body Quantum Dynamics
DY 29.6: Vortrag
Mittwoch, 3. April 2019, 11:00–11:15, H19
Effect of hopping correlations on localization — Pavel Nosov1,2,3, •Ivan Khaymovich3, and Vladimir Kravtsov4 — 1Department of Physics, St. Petersburg State University, St. Petersburg 198504, Russia — 2NRC Kurchatov Institute, Petersburg Nuclear Physics Institute, Gatchina 188300, Russia — 3Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187-Dresden, Germany — 4Abdus Salam International Center for Theoretical Physics - Strada Costiera 11, 34151 Trieste, Italy
The standard picture of the 3d Anderson localization is known to be restored in low-dimensional systems by adding either the correlations in the diagonal disorder or long-range hopping terms.
Recently, the Anderson’s picture has been argued by providing counterintuitive examples of long-ranged systems with almost all localized states even in a nominally ergodic regime. These "new" models demonstrate either critical or localized wavefunction behavior with a "mysterious" duality of decay rates [1]. These systems belong to a new universality class where the localization properties are governed by hopping correlations.
In my talk I provide general localization-delocalization principles [2] needed for such models to find a full phase diagram and uncover the role of correlations and the origin of the duality [1]. I present a new class of random Hamiltonians with translation-invariant hopping terms demonstrating the duality in the momentum and coordinate space.
[1] X. Deng et al., PRL 120, 110602 (2018). [2] P. A. Nosov, I. M. Khaymovich, and V. E. Kravtsov, arXiv:1810.01492 (2018).