Kardar-Parisi-Zhang scaling in the Hubbard model

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

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.

• Jezik: Angleški jezik
• Ključne besede: condensed matter physics, Hubbard model
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Recenzirani rokopis
• Datum objave: 12.12.2023
• Leto izida: 2023
• Št. strani: Str. 235139-1-235139-13
• Številčenje: Vol. 108, iss. 23
• PID: 20.500.12556/RUL-155478
• UDK: 538.9
• ISSN pri članku: 2469-9950
• DOI: 10.1103/PhysRevB.108.235139
• COBISS.SI-ID: 191344643
• Datum objave v RUL: 04.04.2024

Gradivo je del revije

• Naslov: Physical review
• Založnik: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: fizika kondenzirane snovi, Hubbardov model

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika