Spectral Properties of Interacting One-Dimensional Spinless Fermions

Abstract

The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the spin-1/2 XXZ chain, the difference in the statistics of particles causes substantial effects on spectral features, such as gapless points of dispersion relations and line shapes of spectral functions. In this Letter, we clarify the origin of the differences in spectral features between fermionic and bosonic systems in terms of Bethe ansatz solutions. We also confirm that the two-string solutions have considerable spectral weights in the high-energy regime.

4 pages, 2 figures

References in corpus (6)

• Universal theory of nonlinear Luttinger liquids
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Spectral function of spinless fermions on a one-dimensional lattice
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Quasiparticles of spatially anisotropic triangular antiferromagnets in a magnetic field
• How to calculate correlation functions of Heisenberg chains

Cited by in corpus (7)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
• Luttinger liquid physics from infinite-system DMRG
• Local density of states of the one-dimensional spinless fermion model
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Emergence and spectral-weight transfer of electronic states in the Hubbard ladder
• Relation between high-energy quasiparticles of quasi-one-dimensional antiferromagnets in a magnetic field and a doublon of a Hubbard chain