Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
Strongly Correlated Electrons
2007-05-23 v2
Abstract
We find a unitary operator which asymptotically diagonalizes the Tomonaga-Luttinger hamiltonian of one-dimensional spinless electrons. The operator performs a Bogoliubov rotation in the space of electron-hole pairs. If bare interaction of the physical electrons is sufficiently small this transformation maps the original Tomonaga-Luttinger system on a system of free fermionic quasiparticles. Our representation is useful when the electron dispersion deviates from linear form. For such situation we obtain non-perturbative results for the electron gas free energy and the density-density propagator.
Keywords
Cite
@article{arxiv.cond-mat/0411405,
title = {Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian},
author = {A. V. Rozhkov},
journal= {arXiv preprint arXiv:cond-mat/0411405},
year = {2007}
}
Comments
In the new version two new appendices are added, several errors and misprints are corrected; 19 pages, 3 eps figures