Finite temperature spin diffusion in the Hubbard model in the strong coupling limit

Gamayun, Oleksandr; Hutsalyuk, Arthur; Pozsgay, Balázs; Zvonarev, Mikhail

doi:10.21468/SciPostPhys.15.2.073

SciPost Physics

Finite temperature spin diffusion in the Hubbard model in the strong coupling limit

Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev

SciPost Phys. 15, 073 (2023) · published 30 August 2023

doi: 10.21468/SciPostPhys.15.2.073
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Abstract

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of a magnetic field the transport is diffusive, and derive the spin diffusion constant. Our approach is based on asymptotic analysis of a Fredholm determinant representation. The obtained results are in agreement with Generalized Hydrodynamics approach.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.073
TI  - Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
PY  - 2023/08/30
UR  - https://www.scipost.org/SciPostPhys.15.2.073
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 073
A1  - Gamayun, Oleksandr
AU  - Hutsalyuk, Arthur
AU  - Pozsgay, Balázs
AU  - Zvonarev, Mikhail
AB  - We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of a magnetic field the transport is diffusive, and derive the spin diffusion constant. Our approach is based on asymptotic analysis of a Fredholm determinant representation. The obtained results are in agreement with Generalized Hydrodynamics approach.
ER  -

@Article{10.21468/SciPostPhys.15.2.073,
	title={{Finite temperature spin diffusion in the Hubbard model in the strong coupling limit}},
	author={Oleksandr Gamayun and Arthur Hutsalyuk and Balázs Pozsgay and Mikhail B. Zvonarev},
	journal={SciPost Phys.},
	volume={15},
	pages={073},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.073},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.073},
}

Cited by 4

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¹ ² Oleksandr Gamayun,
³ Arthur Hutsalyuk,
³ Balázs Pozsgay,
⁴ Mikhail Zvonarev

Funder for the research work leading to this publication

Narodowa Agencja Wymiany Akademickiej