Dynamical Functions of a 1D Correlated Quantum Liquid

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.

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• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Threshold Singularities in the One Dimensional Hubbard Model
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Real-time dynamics in the one-dimensional Hubbard model
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
• Bethe strings in the spin dynamical structure factor of the Mott-Hubbard phase in one-dimensional fermionic Hubbard model