Correlated Fermions in a One-Dimensional Quasiperiodic Potential

1999/05/06 by J. Vidal, Julien Vidal, D. Mouhanna +2 · 94 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Exponent #Fermi Gamma-ray Space Telescope #Fermion #Fibonacci number #Modulation (music) #Physics #Position (finance) #Power law #Quantum mechanics #Quasicrystal Structures and Properties #Quasiperiodic function #Rare-earth and actinide compounds #Topological Materials and Phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.83.3908

published in Physical Review Letters 83(19), 3908-3911 (American Physical Society) · 5 pages, 3 EPS figures

arxiv created 1999/05/06 · openalex publication_date 1999/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential. We show that the effects of the quasiperiodic modulation are intermediate between those of a commensurate potential and a disordered one. The system exhibits a metal-insulator transition whose position depends both on the strength of the correlations and on the position of the Fermi level. Consequently, the conductivity displays a power-law-like size and frequency behavior characterized by a nontrivial exponent.

Citations

• Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
• Transport properties of one-dimensional interacting fermions in aperiodic potentials

Cited by

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• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
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