Electronic quantum wires in extended quasiparticle picture

Abstract

A one-dimensional quantum wire of Fermions is considered and ground state properties are calculated in the high density regime within the extended quasiparticle picture and Born approximation. Expanding the two-particle Green functions determines the selfenergy and the polarization as well as the response function on the same footing. While the on-shell selfenergies are strictly zero due to Pauli-blocking of elastic scattering, the off-shell behaviour shows a rich structure of a gap in the damping of excitation which is closed when the momentum approaches the Fermi one. The consistent spectral function is presented completing the first two energy-weighted sum rules. The excitation spectrum shows a splitting due to holons and antiholons as non-Fermi liquid behaviour. A renormalization procedure is proposed by subtracting an energy constant to render the Fock exchange energy finite. The effective mass derived from meanfield shows a dip as onset of Peierls instability. The correlation energy is calculated with the help of the extended quasiparticle picture which accounts for off-shell effects. The corresponding response function leads to the same correlation energy as the selfenergy in agreement with perturbation theory. The reduced density matrix or momentum distribution is calculated with the help of a Padé regularization repairing deficiencies of the perturbation theory. A seemingly finite step at the Fermi energy indicating Fermi-liquid behaviour is repaired in this way.

arXiv commentIn memory of Paul Ziesche (1933-2022)

References in corpus (32)

• Theory of ultracold Fermi gases
• Luttinger Liquid Behavior in Carbon Nanotubes
• One-Dimensional Fermi liquids
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• A one-dimensional liquid of fermions with tunable spin
• Continuum variational and diffusion quantum Monte Carlo calculations
• Confinement induced molecules in a 1D Fermi gas
• Jastrow correlation factor for atoms, molecules, and solids
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• New Model System for a One-Dimensional Electron Liquid: Self-Organized Atomic Gold Chains on Ge(001)
• Bosonization of one dimensional fermions out of equilibrium
• Ground state properties of the one dimensional Coulomb gas
• Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid?
• How universal is the fractional-quantum-Hall edge Luttinger liquid?
• Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
• Ground state properties of the one-dimensional electron liquid
• van der Waals Interactions Between Thin Metallic Wires and Layers
• Correlation effects in quasi one dimensional electron wires
• Kinetic equation consistent with the equation of state of nuclear matter
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• High-density correlation energy expansion of the one-dimensional uniform electron gas
• Correlations in Many-Body Systems with Two-time Green's Functions
• Quasiparticle transport equation with collision delay. II. Microscopic Theory
• Retarded versus time-nonlocal quantum kinetic equations
• Dependence of structure factor and correlation energy on the width of electron wires
• One-dimensional electron fluid at high density
• Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density
• Exact ground-state properties of one-dimensional electron gas at high density
• Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited
• Momentum distribution and tunneling density of states of one-dimensional Fermonic SU(N) Hubbard model
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Extended quasiparticle Padé approximation for non-Fermi liquids