Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 11: Topology: Quantum Hall Systems

TT 11.10: Talk

Tuesday, September 6, 2022, 12:00–12:15, H10

Emergent non-Hermitian topology and boundary sensitivity in interacting Su-Schrieffer-Heeger chains — •Tommaso Micallo, Carl Lehmann, and Jan Carl Budich — Institute of Theoretical Physics, Technische Universität Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, 01062 Dresden, Germany

The exponential sensitivity of effective Non-Hermitian (NH) Hamiltonians with respect to boundary conditions has recently been predicted and observed in a broad range of settings. Here, we discuss as to what extent this remarkable phenomenon may occur in closed correlated fermionic systems that are governed by a Hermitian many-body Hamiltonian. There, an effectively NH quasiparticle description naturally arises in the Green's function formalism due to inter-particle scattering that represents a source of inherent dissipation. Using exact diagonalization, we analyze as a concrete platform extended Su-Schrieffer-Heeger (SSH) chains with interactions subject to varying boundary conditions.