Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
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| Format: | Preprint |
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2025
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| _version_ | 1866915488645251072 |
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| author | Carmelo, J. M. P. Sacramento, P. D. |
| author_facet | Carmelo, J. M. P. Sacramento, P. D. |
| contents | Here we consider a class of energy eigenstates of the spin-1/2 XXZ chain that exist both for anisotropies 1 and larger than 1. We show that at the isotropic point their contributions are behind the diffusion constant being infinite, spin transport being anomalous superdiffusive for temperatures T>0. That for anisotropy larger than 1 such states do not contribute to the diffusion constant is shown to imply it is finite, spin transport being normal diffusive for T>0. By combining the connection through a Jordan-Wigner transformation of the spin-1/2 XXZ chain to the one-dimensional (1D) lattice spinless fermion model at zero chemical potential for V/J larger or equal to 1 with its Bethe-ansatz solution, where V is the nearest-neighbor Coulomb repulsion and J is twice the hopping integrai, in this paper we also address the issue of the T>0 charge transport of that model at zero chemical potential. It is found to be anomalous superdiffusive for V/J=1 and normal diffusive for V/J>1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08741 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model Carmelo, J. M. P. Sacramento, P. D. Strongly Correlated Electrons Here we consider a class of energy eigenstates of the spin-1/2 XXZ chain that exist both for anisotropies 1 and larger than 1. We show that at the isotropic point their contributions are behind the diffusion constant being infinite, spin transport being anomalous superdiffusive for temperatures T>0. That for anisotropy larger than 1 such states do not contribute to the diffusion constant is shown to imply it is finite, spin transport being normal diffusive for T>0. By combining the connection through a Jordan-Wigner transformation of the spin-1/2 XXZ chain to the one-dimensional (1D) lattice spinless fermion model at zero chemical potential for V/J larger or equal to 1 with its Bethe-ansatz solution, where V is the nearest-neighbor Coulomb repulsion and J is twice the hopping integrai, in this paper we also address the issue of the T>0 charge transport of that model at zero chemical potential. It is found to be anomalous superdiffusive for V/J=1 and normal diffusive for V/J>1. |
| title | Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.08741 |