Interacting fermions in self-similar potentials
| dc.creator | Vidal, J. | |
| dc.creator | Mouhanna, D. | |
| dc.creator | Giamarchi, T. | |
| dc.date | 2001-07-12 | |
| dc.date.accessioned | 2026-07-07T12:33:34Z | |
| dc.date.available | 2026-07-07T12:33:34Z | |
| dc.description | 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. | |
| dc.description | 18 pages, 10 EPS figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0107253 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0107253 | |
| dc.identifier | Phys. Rev. B 65, 014201 (2001) | |
| dc.identifier | doi:10.1103/PhysRevB.65.014201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217169 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Interacting fermions in self-similar potentials | |
| dc.type | text |