Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian

@article{Rozhkov2005FermionicQ,
  title={
Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian
},
  author={A. Rozhkov},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={2005},
  volume={47},
  pages={193-206}
}
  • A. Rozhkov
  • Published 2005
  • Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
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… Expand
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