Interacting fermions in self-similar potentials

Details Interacting fermions in self-similar potentials Interacting fermions in self-similar potentials

2001-07-12

arxiv.org/abs/cond-mat/0107253v1

Phys. Rev. B 65, 014201 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 10 EPS figures

Scientific paper

10.1103/PhysRevB.65.014201

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.

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