SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 45: Correlated Electrons: 1D Theory
TT 45.6: Vortrag
Donnerstag, 30. März 2023, 10:45–11:00, HSZ 103
Terminable transitions in a topological fermion ladder — Yuchi He1,2, Dante Kennes2,3, Christoph Karrasch4, and •Roman Rausch4 — 1Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom — 2Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA - Fundamentals of Future Information Technology, 52056 Aachen, Germany — 3Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, 22761 Hamburg, Germany — 4Technische Universität Braunschweig, Institut für Mathematische Physik, Mendelssohnstraße 3, 38106 Braunschweig, Germany
Interacting fermion ladders are important platforms to study quantum phases of matter including various Mott-insulators with different symmetry properties, such as the D-Mott and S-Mott phase. The latter hold pre-formed electron pairs and become paired liquids (d-wave and s-wave) upon doping. We show that the D-Mott and S-Mott phases are in fact two facets of the same topological phase and that the transition between them is terminable. With this, we provide a quantum analog of the well-known terminable liquid-gas transition. However, the phenomenology we uncover is even richer, as in contrast to the liquid-gas transition, the order of the transition can be tuned by the interaction and bears relevance for the topological properties of the system. The numerical results are obtained using the variational uniform matrix-product state (VUMPS) formalism, and are complemented by analytical field-theoretical explanations.