Fermionic quasiparticle representation of TomonagaLuttinger Hamiltonian
Abstract
We find a unitary operator which asymptotically diagonalizes the TomonagaLuttinger Hamiltonian of onedimensional spinless electrons. The operator performs a Bogoliubov rotation in the space of electronhole pairs. If bare interaction of the physical electrons is sufficiently small this transformation maps the original TomonagaLuttinger 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 nonperturbative results for the electron gas free energy and the densitydensity propagator.
 Publication:

European Physical Journal B
 Pub Date:
 September 2005
 DOI:
 10.1140/epjb/e2005003123
 arXiv:
 arXiv:condmat/0411405
 Bibcode:
 2005EPJB...47..193R
 Keywords:

 71.10.Pm;
 Fermions in reduced dimensions;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 In the new version two new appendices are added, several errors and misprints are corrected