Single-particle spectral function of the Hubbard chain: frustration induced
Wang Jing(王竞)a)b)† and Enrico Arrigonib)
a Department of Physics, Fudan University, Shanghai 200433, China; b Institute of Theoretical Physics and Computational Physics, Graz University of Technology, A-8010 Graz, Austria
Abstract The one-electron spectral function of a frustrated Hubbard chain is computed by making use of the cluster perturbation theory. The spectral weight we found turns out to be strongly dependent on the frustrating next-nearest-neighbor hopping t'. A frustration induced pseudogap arises when the system evolves from a gapful Mott insulator to a gapless conductor for an intermediate value of the frustration parameter |t'|. Furthermore, the opening of a pseudogap in the density of states already in the metallic side leads to a continuous opening of the true gap in the insulator. For the hole-doped case, the pseudogap is pinned at the Fermi energy, while the Mott gap is shifted in energy with increasing Hubbard interaction U. The separation of the pseudogap and Mott gap in the hole-doped system demonstrates the validity of the existence of a pseudogap.
Received: 16 December 2008
Revised: 09 January 2009
Accepted manuscript online:
Fund: Project partly supported by the
National Natural Science Foundation of China, the Ministry of
Science and Technology of China (Grant No 2006CB921302), by the EC
Project OFSPIN (Grant No NMP3-CT-2006-033370), by the Austrian
Science Fund (Grant No FWF
P18551-N16), and by the Eurasia Pacific Uninet.
Cite this article:
Wang Jing(王竞) and Enrico Arrigoni Single-particle spectral function of the Hubbard chain: frustration induced 2009 Chin. Phys. B 18 2475
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