Kardar-Parisi-Zhang scaling in the Hubbard model

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

Abstract

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.

Keywords

fizika kondenzirane snovi;Hubbardov model;condensed matter physics;Hubbard model;

Data

Language:	English
Year of publishing:	2023
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	538.9
COBISS:	191344643
ISSN:	2469-9950
Views:	11
Downloads:	3
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	fizika kondenzirane snovi;Hubbardov model;
Type (COBISS):	Article
Pages:	str. 235139-1-235139-13
Volume:	ǂVol. ǂ108
Issue:	ǂiss. ǂ23
Chronology:	2023
DOI:	10.1103/PhysRevB.108.235139
ID:	23341259