Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/32007
Título: | Absence of finite-temperature ballistic charge (and spin) transport in the 1D Hubbard model at half filling (and zero spin density) |
Autor(es): | Carmelo, José Manuel Pereira Gu, Shi-Jian Sampaio, Maria José Fontes Alexandre Forjaz |
Palavras-chave: | charge and spin stiffnesses 1D Hubbard model absence of ballistic transport exotic charge and spin transport |
Data: | 9-Jun-2014 |
Editora: | IOP Publishing |
Revista: | Journal of Physics A |
Citação: | 18. Carmelo, J. M. P., Gu, S. J., & Sampaio, M. J. (2014). Absence of finite-temperature ballistic charge (and spin) transport in the 1D Hubbard model at half filling (and zero spin density). Journal of Physics A - Mathematical and Theoretical, 47(25). doi: 10.1088/1751-8113/47/25/255004 |
Resumo(s): | Finite-temperature T > 0 transport properties of integrable and nonintegrable one-dimensional (1D) many-particle quantum systems are rather different, showing ballistic and diffusive behavior, respectively. The repulsive 1D Hubbard model is a prominent example of an integrable correlated system. For electronic densities n = 1 (and spin densities m = 0) it is an ideal charge (and spin) conductor, with ballistic charge (and spin) transport for T 0. In spite of the fact that it is solvable by the Bethe ansatz, at n = 1 (and m = 0) its T > 0 charge (and spin) transport properties are an issue that remains poorly understood. Here we combine this solution with symmetry and the explicit calculation of current-operator matrix elements between energy eigenstates to show that for on-site repulsion U > 0 and at n = 1 the charge stiffness Dη (T ) vanishes for T > 0 in the thermodynamic limit. A similar behavior is found by such methods for the spin stiffness Ds (T ) for U > 0 and T > 0, which vanishes at m = 0. This absence of finite temperature n = 1 ballistic charge transport and m = 0 ballistic spin transport are exact results that clarify long-standing open problems. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/32007 |
DOI: | 10.1088/1751-8113/47/25/255004 |
ISSN: | 1751-8113 |
Versão da editora: | http://iopscience.iop.org/1751-8121/47/25/255004/ |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CDF - CEP - Artigos/Papers (with refereeing) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
JPhysA47_255004.pdf Acesso restrito! | Ficheiro pdf em versão final | 2,87 MB | Adobe PDF | Ver/Abrir |