Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/27061
Título: | Zero finite-temperature charge stiffness within the half-filled 1D Hubbard model |
Autor(es): | Carmelo, José Manuel Pereira Gu, Shi-Jian Sacramento, Pedro D. |
Palavras-chave: | 1D Hubbard model at finite temperature 1D Hubbard model global symmetry 1D Hubbard model rotated-electron operator description Exotic transport of charge 1D Hubbard model rotated-electron operator description |
Data: | 7-Out-2013 |
Editora: | Elsevier |
Revista: | Annals of Physics |
Resumo(s): | Even though the one-dimensional (1D) Hubbard model is solvable by the Bethe ansatz, at half-filling its finite-temperature T > 0 transport properties remain poorly understood. In this paper we combine that solution with symmetry to show that within that prominent T = 0 1D insulator the charge stiffness D(T ) vanishes for T > 0 and finite values of the on-site repulsion U in the thermodynamic limit. This result is exact and clarifies a long-standing open problem. It rules out that at half-filling the model is an ideal conductor in the thermodynamic limit. Whether at finite T and U > 0 it is an ideal insulator or a normal resistor remains an open question. That at half-filling the charge stiffness is finite at U = 0 and vanishes for U > 0 is found to result from a general transition from a conductor to an insulator or resistor occurring at U = Uc = 0 for all finite temperatures T > 0. (At T = 0 such a transition is the quantum metal to Mott–Hubbard-insulator transition.) The interplay of the η-spin SU(2) symmetry with the hidden U(1) symmetry beyond SO(4) is found to play a central role in the unusual finitetemperature charge transport properties of the 1D half-filled Hubbard model. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/27061 |
DOI: | 10.1016/j.aop.2013.09.020 |
ISSN: | 0003-4916 |
Versão da editora: | http://www.elsevier.com/locate/aop |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CDF - CEP - Artigos/Papers (with refereeing) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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13-DT.pdf Acesso restrito! | Ficheiro artigo | 1,4 MB | Adobe PDF | Ver/Abrir |