https://doi.org/10.1140/epjb/e2005-00312-3
Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian
Institute for Theoretical and Applied Electrodynamics JIHT RAS,
Moscow, ul. Izhorskaya 13/19, 127412, Russian Federation
Corresponding author: a shurikrozhkov@yahoo.com
Received:
31
August
2004
Revised:
22
July
2005
Published online:
11
October
2005
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.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005