Localization of interacting Fermi gases in quasiperiodic potentials
| Autor: | Vipin Kerala Varma, Sebastiano Pilati |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Anderson localization Condensed matter physics Quantum Monte Carlo FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Superposition principle Quantum Gases (cond-mat.quant-gas) Critical point (thermodynamics) Quantum mechanics Quasiperiodic function 0103 physical sciences Condensed Matter::Strongly Correlated Electrons Condensed Matter - Quantum Gases 010306 general physics Fermi gas Eigenvalues and eigenvectors Fermi Gamma-ray Space Telescope |
| Zdroj: | Physical Review A. 95 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.95.013613 |
| Popis: | We investigate the zero-temperature metal-insulator transition in a one-dimensional two-component Fermi gas in the presence of a quasi-periodic potential resulting from the superposition of two optical lattices of equal intensity but incommensurate periods. A mobility edge separating (low energy) Anderson localized and (high energy) extended single-particle states appears in this continuous-space model beyond a critical intensity of the quasi-periodic potential. In order to discern the metallic phase from the insulating phase in the interacting many-fermion system, we employ unbiased quantum Monte Carlo (QMC) simulations combined with the many-particle localization length familiar from the modern theory of the insulating state. In the noninteracting limit, the critical optical-lattice intensity for the metal-insulator transition predicted by the QMC simulations coincides with the Anderson localization transition of the single-particle eigenstates. We show that weak repulsive interactions induce a shift of this critical point towards larger intensities, meaning that repulsion favors metallic behavior. This shift appears to be linear in the interaction parameter, suggesting that even infinitesimal interactions can affect the position of the critical point. 6 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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