Correlated Fermions in a one-dimensional quasiperiodic potential

J. Vidal; D. Mouhanna; T. Giamarchi

doi:10.1103/physrevlett.83.3908

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Correlated Fermions in a one-dimensional quasiperiodic potential

J. Vidal·D. Mouhanna·T. Giamarchi

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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 behaviour characterized by a non trivial exponent.

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J. Vidal, D. Mouhanna, T. Giamarchi. 1999-05-06. Correlated Fermions in a one-dimensional quasiperiodic potential. https://doi.org/10.1103/physrevlett.83.3908

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