https://doi.org/10.1140/epjb/e2006-00235-5
General spectral function expressions of a 1D correlated model
1
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, USA and GCEP - Center of Physics, University of Minho, Campus Gualtar, 4710-057 Braga, Portugal
2
Research Institute for Solid State Physics and Optics, P.O.B. 49, 1525 Budapest, Hungary
Corresponding author: a carmelo@fisica.uminho.pt
Received:
6
August
2005
Revised:
20
December
2005
Published online:
22
June
2006
We introduce a method that allows the evaluation of general expressions for the spectral functions of the one-dimensional Hubbard model for all values of the on-site electronic repulsion U. The spectral weights are expressed in terms of pseudofermion operators such that the spectral functions can be written as a convolution of pseudofermion dynamical correlation functions. Our results are valid for all finite energy and momentum values and are used elsewhere in the study of the unusual finite-energy properties of quasi-one-dimensional compounds and the new quantum systems of ultra-cold fermionic atoms on an optical lattice.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.27.+a – Strongly correlated electron systems; heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006