Using bosonization-fermionization transformation, we map the Tomonaga-Luttinger model of spinless fermions with nonlinear dispersion on the model of fermionic quasiparticles whose interaction is irrelevant in the renormalization group sense. Such mapping allows us to set up an expansion for the density-density propagator of the original Tomonaga-Luttinger Hamiltonian in orders of the (irrelevant) quasiparticle interaction. The lowest order term in such an expansion is proportional to the propagator for free fermions. The next term is also evaluated. The propagator found is used for calculation of the Coulomb drug resistivity r in a system of two capacitively coupled one-dimensional conductors. It is shown that r is proportional to T2 for both free and interacting fermions. The marginal repulsive in-chain interaction acts to reduce r as compared to the noninteracting result. The correction to r due to the quasiparticle interaction is found as well. It scales as T4 at low temperature.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - 10 Mar 2008|