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

A. V. Rozhkov

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

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.

Original languageEnglish
Article number245123
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume74
Issue number24
DOIs
Publication statusPublished - 2006
Externally publishedYes

Fingerprint

Dive into the research topics of 'Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion'. Together they form a unique fingerprint.

Cite this