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

2006/12/06 by A. V. Rozhkov · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.74.245123

published as Phys. Rev. B 74, 245123 (2006) · 12 pages, 0 figure, revtex 4

arxiv created 2006/12/06 · openalex publication_date 2006/12/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 nonliner 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.

Citations

• Bosonization and Strongly Correlated Systems
• Flow Equation Solution for the Weak- to Strong-Coupling Crossover in the Sine-Gordon Model
• Coulomb Drag by Small Momentum Transfer between Quantum Wires
• Tails of the dynamical structure factor of 1D spinless fermions beyond the Tomonaga approximation
• Dynamical Spin Structure Factor for the Anisotropic Spin-1/2Heisenberg Chain

Cited by

• Dynamical structure factor at smallqfor the XXZ spin-1/2 chain
• Real-time dynamics in the one-dimensional Hubbard model
• Universal Theory of Nonlinear Luttinger Liquids
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Threshold singularities in the correlators of one-dimensional models