Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion

Abstract

It is shown that for some special values of Hamiltonian parameters the Tomonaga-Luttinger model with nonlinear dispersion is unitary equivalent to the system of noninteracting fermions. For such parameter values the density-density propagator of the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion can be found exactly. In a generic situation the exact solution can be used as a reference point around which a perturbative expansion in orders of certain irrelevant operators may be constructed.

arXiv comment12 pages, 0 figure, revtex 4

References in corpus (11)

• Bosonization and Strongly Correlated Systems
• Bosonization for Beginners --- Refermionization for Experts
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Coulomb drag by small momentum transfer between quantum wires
• Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
• Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model
• Functional Bosonization of Interacting Fermions in Arbitrary Dimensions
• Tails of the dynamical structure factor of 1D spinless fermions beyond the Tomonaga approximation
• Variational description of the dimensional cross-over in the array of coupled one-dimensional conductors
• "quasi-particles" in bosonization theory of interacting fermion liquids at arbitrary dimensions

Cited by in corpus (28)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Universal broadening of the light cone in low-temperature transport
• Bosonization approach to charge and spin dynamics of 1D fermions with band-curvature
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Real-time dynamics in the one-dimensional Hubbard model
• Equilibration in one-dimensional quantum hydrodynamic systems
• Dissipationless kinetics of one dimensional interacting fermions
• Density-density propagator for one-dimensional interacting spinless fermions with non-linear dispersion and calculation of the Coulomb drag resistivity
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Long time correlations of nonlinear Luttinger liquids
• One-Dimensional Fermions with neither Luttinger-Liquid nor Fermi-Liquid Behavior
• Thermal Transport in One Dimensional Electronic Fluid
• Equilibration in a chiral Luttinger liquid
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Entropy production in one-dimensional quantum fluids
• Threshold singularities in the correlators of the one-dimensional models
• Superconductivity without attraction in a quasi-one-dimensional metal
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems
• Derivation of field theory for the classical dimer model using bosonization
• One-dimensional interacting electrons beyond the Dzyaloshinskii-Larkin theorem
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• Nonlinear edge transport in a quantum Hall system
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions