Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 28: Correlated Electrons: Theory 1
TT 28.10: Vortrag
Donnerstag, 8. September 2022, 12:15–12:30, H23
Superconductivity in 2D and 3D lattice models of correlated fermions - combining matrix-product states with mean-field theory — Gunnar Bollmark1, Svenja Marten2, •Thomas Köhler1, Lorenzo Pizzino3, Yiqi Yang4, Johannes-Stephan Hofmann5, Hao Shi6, Shiwei Zhang7, Salvatore R. Manmana2, Thierry Giamarchi3, and Adrian Kantian1,8 — 1Uppsala University, Sweden — 2Georg-August-Universität Göttingen, Germany — 3University of Geneva, Switzerland — 4College of William and Mary, Williamsburg, Virginia, USA — 5Weizmann Institute of Science, Rehovot, Israel — 6University of Delaware, Newark, USA — 7Flatiron Institute, New York, USA — 8Heriot-Watt University, Edinburgh, United Kingdom
Correlated electron states are at the root of many important phenomena including unconventional superconductivity (USC), where electron-pairing arises from repulsive interactions. Computing the properties of correlated electrons, such as the critical temperature Tc for the onset of USC, efficiently and unbiased remains a major challenge. Here, we combine matrix-product states (MPS) with static mean field (MF) to provide a solution to this challenge for 2D/3D materials comprised of weakly coupled correlated chains. This framework of Q1D fermions is developed and validated for attractive Hubbard systems and further enhanced via analytical field theory. Finally, we investigate the formation of transient non-equilibrum SC by a real-time evolution of a 3D extended Hubbard system out-of-equilibrium.