Dynamical Functions of a 1D Correlated Quantum Liquid
arXiv:0808.3001 · doi:10.1088/0953-8984/20/41/415103
Abstract
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.
References in corpus (7)
- Dynamic response of one-dimensional interacting fermions
- The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
- Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Exact edge singularities and dynamical correlations in spin-1/2 chains
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice