Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry

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Autori principali: Carmelo, J. M. P., Carmelo, J. E. C.
Natura: Preprint
Pubblicazione: 2025
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author Carmelo, J. M. P.
Carmelo, J. E. C.
author_facet Carmelo, J. M. P.
Carmelo, J. E. C.
contents Using a general representation that accounts for the effects on finite-temperature spin and charge transport of the global [SU (2) X SU(2) X U(1)]/(Z2 X Z2) symmetry of the one-dimensional (1D) Hubbard model, we show that important finite-temperature transport quantities as the finite-field spin and finite-chemical potential charge stiffnesses and the zero-field spin and zero-chemical potential charge diffusion constants are controlled by microscopic processes associated with the spin and charge elementary currents carried by the spin and charge carriers, respectively. We describe the model finite-temperature transport properties in terms of the microscopic processes associated with the spin and charge elementary currents carried by the corresponding carriers. We expect that the general representation used in our study is that suitable to address the open problems on finite-temperature transport in the 1D Hubbard model also discussed in this paper.
format Preprint
id arxiv_https___arxiv_org_abs_2503_21573
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
Carmelo, J. M. P.
Carmelo, J. E. C.
Strongly Correlated Electrons
Using a general representation that accounts for the effects on finite-temperature spin and charge transport of the global [SU (2) X SU(2) X U(1)]/(Z2 X Z2) symmetry of the one-dimensional (1D) Hubbard model, we show that important finite-temperature transport quantities as the finite-field spin and finite-chemical potential charge stiffnesses and the zero-field spin and zero-chemical potential charge diffusion constants are controlled by microscopic processes associated with the spin and charge elementary currents carried by the spin and charge carriers, respectively. We describe the model finite-temperature transport properties in terms of the microscopic processes associated with the spin and charge elementary currents carried by the corresponding carriers. We expect that the general representation used in our study is that suitable to address the open problems on finite-temperature transport in the 1D Hubbard model also discussed in this paper.
title Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2503.21573