Kardar-Parisi-Zhang scaling in the Hubbard model

Moca, Cătălin Paşcu (author), Werner, Miklós Antal (author), Valli, Angelo (author), Prosen, Tomaž (author), Zaránd, Gergely (author)

We explore the Kardar-Parisi-Zhang (KPZ) scaling in the one-dimensional Hubbard model, which exhibits global $SU_c(2) \otimes SU_s (2)$ symmetry at half filling, for the pseudocharge and the total spin. We analyze dynamical scaling properties of high-temperature charge and spin correlations and transport. At half filling, we observe a clear KPZ scaling in both charge and spin sectors. Away from half filling, the $SU_c(2)$ charge symmetry is reduced to $U_c(1)$, while the $SU_s(2)$ symmetry for the total spin is retained. Consequently, transport in the charge sector becomes ballistic, while KPZ scaling is preserved in the spin sector. These findings confirm the link between non-Abelian symmetries and KPZ scaling in the presence of integrability. We study two settings of the model: one involving a quench from a bipartitioned state asymptotically close to the $T = \infty$ equilibrium state of the system, and another where the system is coupled to two Markovian reservoirs at the two edges of the chain.

• Language: English
• Keywords: condensed matter physics, Hubbard model
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication version: Author Accepted Manuscript
• Publication date: 12.12.2023
• Year: 2023
• Number of pages: Str. 235139-1-235139-13
• Numbering: Vol. 108, iss. 23
• PID: 20.500.12556/RUL-155478
• UDC: 538.9
• ISSN on article: 2469-9950
• DOI: 10.1103/PhysRevB.108.235139
• COBISS.SI-ID: 191344643
• Publication date in RUL: 04.04.2024

MOCA, Cătălin Paşcu, WERNER, Miklós Antal, VALLI, Angelo, PROSEN, Tomaž and ZARÁND, Gergely, 2023, Kardar-Parisi-Zhang scaling in the Hubbard model. Physical review [online]. 2023. Vol. 108, no. 23, p. 235139-1-235139–13. [Accessed 29 June 2025]. DOI 10.1103/PhysRevB.108.235139. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=155478

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

Secondary language

• Language: Slovenian
• Keywords: fizika kondenzirane snovi, Hubbardov model

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0402
• Name: Matematična fizika