Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-11-16
Eur.Phys.J. B47 (2005) 193-206
Physics
Condensed Matter
Strongly Correlated Electrons
In the new version two new appendices are added, several errors and misprints are corrected; 19 pages, 3 eps figures
Scientific paper
10.1140/epjb/e2005-00312-3
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.
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