Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2022
June, 27-30, 2022
Critical phase boundary and finite-size fluctuations in the Su-Schrieffer-Heeger model with random intercell couplings.
Date/Time: 15:00 28-Jun-2022
A dimerized tight-binding chain, described by the Su-Schrieffer-Heeger (SSH) model, is a well-known example of a one-dimensional system with a nontrivial band topology. An interplay of disorder and topological ordering in the SSH model is of great interest owing to experimental advancements in synthesized quantum simulators. In this talk, we discuss a special sort of a disorder when intercell hopping amplitudes are random. Using a definition of topological invariant in terms of a non-Hermitian part of the total Hamiltonian, we calculate its value averaged by random realizations. This allows one to find an analytical form of the critical surface, that separates two distinct topological phases, for arbitrary disorder strength. Numerical simulations of the edge modes formation and gap suppression at the transition are also provided.
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