Geometric stability of the many-body localized phase in two and higher dimensions

ORAL

Abstract

Isolated disordered quantum systems need not equilibrate and be described by statistical mechanics; this is the phenomenon of many-body localization (MBL). In higher dimensions, the existence of MBL is a delicate question due to the possibility of inclusions of lower dimensional "thermal" regions. In this talk, I will argue that MBL is stable in higher dimensions by analyzing the geometry of a MBL insulator coupled to a thermal edge and develop a phenomenology of such systems.

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Authors

  • Anushya Chandran

    • Perimeter Institute

  • Arijeet Pal

    • Oxford University

  • Chris Laumann

    • University of Washington

  • Antonello Scardicchio

    • Abdus Salam ICTP