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arXiv:cond-mat/0505601 · Nuclear Physics B

Finite-energy spectral-weight distributions of a 1D correlated metal

J. M. P. Carmelo, Karlo Penc, D. Bozi

Published Jul 26, 2005• 45 citations
arXivHTMLPDF
DOI
10.1016/j.nuclphysb.2005.07.002

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Spectral microscopic mechanisms and quantum phase transitions in a 1D correlated problem

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Abstract. In this paper we study the dominant microscopic processes that generate nearly the whole one-electron removal and addition spectral weight of the onedimensional Hubbard model for all values of the on-site repulsion U. We find that for the doped Mott-Hubbard insulator there is a competition between the microscopic processes that generate the one-electron upper-Hubbard band spectral-weight distributions of the Mott-Hubbard insulating phase and finite-doping-concentration metallic phase, respectively. The spectral-weight distributions generated by the nonperturbative processes studied here are shown elsewhere to agree quantitatively for the whole momentum and energy bandwidth with the peak dispersions observed by angle-resolved photoelectron spectroscopy in quasi-one-dimensional compounds. PACS numbers: 71.20.-b, 71.10.Pm, 72.15.Nj, 71.27.+aSpectral microscopic mechanisms and... 2 1.

•Jan 1, 2005•4 citations
We extend to initial ground states with zero spin density m = 0 the expressions provided by the pseudofermion dynamical theory (PDT) for the finite-energy one- and two-electron spectral-weight distributions of a one-dimensional (1D) correlated metal with on-site particle-particle repulsion. The spectral-function expressions derived in this paper were used in recent successful and detailed theoretical studies of the finite-energy singular features in photoemission of the organic compound tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ) metallic phase. Our studies take into account spectral contributions from types of microscopic processes that do not occur for finite values of the spin density. Expressions for the spectral functions in the vicinity of the singular border lines which also appear in the TTF- TCNQ spectral-weight distribution are derived. In addition, the PDT expressions are generalized for electronic densities in the vicinity of half filling. Further details on the processes involved in the applications to TTF-TCNQ are reported. Our results are useful for the further understanding of the unusual spectral properties observed in low-dimensional organic metals and also provide expressions for the one- and two-atom spectral functions of a correlated quantum system of ultracold fermionic atoms in a 1D optical lattice with on-site two-atom repulsion.
In this paper we study the dominant microscopic processes that generate nearly the whole one-electron removal and addition spectral weight of the one-dimensional Hubbard model for all values of the on-site repulsion U . We find that for the doped Mott–Hubbard insulator there is a competition between the microscopic processes that generate the one-electron upper-Hubbard-band spectral-weight distributions of the Mott–Hubbard insulating phase and finite-doping-concentration metallic phase, respectively. The spectral-weight distributions generated by the non-perturbative processes studied here are shown elsewhere to agree quantitatively for the whole momentum and energy bandwidth with the peak dispersions observed by angle-resolved photoelectron spectroscopy in quasi-one-dimensional compounds.
Abstract. In this paper we study the dominant microscopic processes that generate nearly the whole one-electron removal and addition spectral weight of the onedimensional Hubbard model for all values of the on-site repulsion U. We find that for the doped Mott-Hubbard insulator there is a competition between the microscopic processes that generate the one-electron upper-Hubbard band spectral-weight distributions of the Mott-Hubbard insulating phase and finite-doping-concentration metallic phase, respectively. The spectral-weight distributions generated by the nonperturbative processes studied here are shown elsewhere to agree quantitatively for the whole momentum and energy bandwidth with the peak dispersions observed by angle-resolved photoelectron spectroscopy in quasi-one-dimensional compounds. PACS numbers: 71.20.-b, 71.10.Pm, 72.15.Nj, 71.27.+aSpectral microscopic mechanisms and... 2 1.