Interacting fermions in self-similar potentials
摘要
We consider interacting spinless fermions in one dimension embedded in self-similar quasiperiodic potentials. We examine generalizations of the Fibonacci potential known as precious mean potentials. Using a bosonization technique and a renormalization group analysis, we study the low-energy physics of the system. We show that it undergoes a metal-insulator transition for any filling factor, with a critical interaction that strongly depends on the position of the Fermi level in the Fourier spectrum of the potential. For some positions of the Fermi level the metal-insulator transition occurs at the non interacting point. The repulsive side is an insulator with a gapped spectrum whereas in the attractive side the spectrum is gapless and the properties of the system are described by a Luttinger liquid. We compute the transport properties and give the characteristic exponents associated to the frequency and temperature dependence of the conductivity.
引用
@article{arxiv.cond-mat/0107253,
title = {Interacting fermions in self-similar potentials},
author = {J. Vidal and D. Mouhanna and T. Giamarchi},
journal= {arXiv preprint arXiv:cond-mat/0107253},
year = {2009}
}
备注
18 pages, 10 EPS figures