Transient superconductivity in three-dimensional Hubbard systems by combining matrix-product states and self-consistent mean-field theory

Svenja Marten, Gunnar Bollmark, Thomas Köhler, Salvatore R. Manmana, Adrian Kantian

Research output: Contribution to journalArticlepeer-review

10 Downloads (Pure)

Abstract

We combine matrix-product-state (MPS) and mean-field (MF) methods to model the real-time evolution of a three-dimensional (3D) extended Hubbard system formed from one-dimensional (1D) chains arrayed in parallel with weak coupling in-between them. This approach allows us to treat much larger 3D systems of correlated fermions out-of-equilibrium over a much more extended real-time domain than previous numerical approaches. We deploy this technique to study the evolution of the system as its parameters are tuned from a charge-density wave phase into the superconducting regime, which allows us to investigate the formation of transient non-equilibrium superconductivity. In our ansatz, we use MPS solutions for chains as input for a self-consistent time-dependent MF scheme. In this way, the 3D problem is mapped onto an effective 1D Hamiltonian that allows us to use the MPS efficiently to perform the time evolution, and to measure the BCS order parameter as a function of time. Our results confirm previous findings for purely 1D systems that for such a scenario a transient superconducting state can occur.

Original languageEnglish
Article number236
JournalSciPost Physics
Volume15
Issue number6
DOIs
Publication statusPublished - 12 Dec 2023

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Transient superconductivity in three-dimensional Hubbard systems by combining matrix-product states and self-consistent mean-field theory'. Together they form a unique fingerprint.

Cite this