Threshold Singularities in the One Dimensional Hubbard Model

Abstract

We consider excitations with the quantum numbers of a hole in the one dimensional Hubbard model below half-filling. We calculate the finite-size corrections to the energy. The results are then used to determine threshold singularities in the single-particle Green's function for commensurate fillings. We present the analogous results for the Yang-Gaudin model (electron gas with delta-function interactions).

26 pages, 12 figures version to appear in Phys Rev B

References in corpus (12)

• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral function of spinless fermions on a one-dimensional lattice
• Threshold singularities in the dynamic response of gapless integrable models
• The fate of 1D spin-charge separation away from Fermi points
• Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
• Dynamical Functions of a 1D Correlated Quantum Liquid

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• Nonuniversal prefactors in correlation functions of 1D quantum liquids
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• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
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• Observing separate spin and charge Fermi seas in a strongly correlated one-dimensional conductor
• Kinetic Theory for Interacting Luttinger Liquids
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• Spectral edge mode in interacting one-dimensional systems
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
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• Optical conductivity of the Hubbard chain away from half filling
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• Mobile impurity approach to the optical conductivity in the Hubbard chain
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• Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
• Nonlinear effects on charge fractionalization in critical chains
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