Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session B62: Quantum Many Body Systems & Methods I
11:30 AM–2:18 PM,
Monday, March 6, 2023
Room: Room 417
Sponsoring
Unit:
DCOMP
Chair: Jack Wells, Nvidia
Abstract: B62.00003 : Unconventional Superconductivity and Collective Excitations in Long-Range Interacting Systems*
11:54 AM–12:06 PM
Presenter:
Benedikt Fauseweh
(German Aerospace Center (DLR))
Authors:
Benedikt Fauseweh
(German Aerospace Center (DLR))
Andreas A Buchheit
(Saarland University)
Torsten Keßler
(Saarland University)
Peter K Schuhmacher
(German Aerospace Center (DLR))
In this talk I will demonstrate, how the Bardeen–Cooper–Schrieffer (BCS) theory of superconductivity can be extended to power-law interactions using the recently developed Singular Euler–Maclaurin Expansion for lattice system [1]. We will derive a new generalized gap-equation based on the Epstein-Zeta function and discuss its efficient evaluation using a logarithmic grid and spline interpolation. I will show results for k-dependent 1D and 2D superconducting gaps, phase diagrams depending on the interaction exponent and interaction strength, and non-equilibrium Higgs oscillations that are stabilized by long-range interactions. Finally, we discuss dynamical gap transitions, that allow for a non-equilibrium identification of phase transitions.
[1] A. A. Buchheit, T. Keßler, P. K. Schuhmacher, B. Fauseweh, Exact continuum representation of long-range interacting systems, arXiv:2201.11101 (2022)
*The authors gratefully acknowledge the scientific support and HPC resources provided by the Erlangen National High Performance Computing Center (NHR@FAU) of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) under the NHR project n101af. NHR funding is provided by federal and Bavarian state authorities. NHR@FAU hardware is partially funded by the German Research Foundation (DFG) – 440719683.
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