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TT: Fachverband Tiefe Temperaturen
TT 10: Correlated Electrons: Other Theoretical Topics
TT 10.4: Vortrag
Montag, 9. März 2026, 11:45–12:00, HSZ/0103
Probing Green's Function Zeros by Cotunneling through Mott Insulators — •Carl Lehmann2,3,1, Lorenzo Crippa4,2,3, Giorgio Sangiovanni2,3, and Jan Budich1,2,5 — 1Technische Universität Dresden, 01069 Dresden, Germany — 2Würzburg-Dresden Cluster of Excellence ct.qmat, 97074 Würzburg, Germany — 3Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany — 4I. Institute of Theoretical Physics, University of Hamburg, Notkestrasse 9, 22607 Hamburg, Germany — 5Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany
Quantum tunneling experiments have provided deep insights into basic excitations occurring as Green's function poles in the realm of complex quantum matter. However, strongly correlated quantum materials also allow for Green's functions zeros (GFZs) that may be seen as an antidote to the familiar poles and have so far largely eluded direct experimental study. Here, we propose and investigate theoretically how cotunneling through Mott insulators enables direct access to the shadow band structure of GFZs. In particular, we derive an effective Hamiltonian for the GFZ that is shown to govern the cotunneling amplitude and reveal fingerprints of many-body correlations clearly distinguishing the GFZ structure from the underlying free Bloch band structure of the system. Our perturbative analytical results are corroborated by numerical data for a one-dimensional model system consisting of a Su-Schrieffer-Heeger-Hubbard model coupled to two single-level quantum dots.
Keywords: Green's function zeros; Mott Insulators; Quantum tunneling