2009/12/23 by Marcin Mierzejewski, M. Mierzejewski, J. Dajka +2 · 1 citation
Chemistry · Physics and Astronomy · #Amplitude #Chemistry #Condensed matter physics #Constant (computer programming) #Current (fluid) #Electron #Flux (metallurgy) #Hubbard model #Magnetic field #Magnetic flux #Magnetic flux quantum #Mesoscopic physics #Persistent current #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Ring (chemistry) #Semiconductor Quantum Structures and Devices #Spectroscopy and Quantum Chemical Studies #Superconductivity #Thermodynamics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1088/0953-8984/22/24/245301
published as J. Phys.: Condens. Matter 22, 245301 (2010)
arxiv created 2009/12/23 · openalex publication_date 2010/05/26 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study currents in a quantum ring threaded by a magnetic flux which is varied in an arbitrary way from an initial constant value φ(1) at time t(1) to a final constant value φ(2) at time t(2). We analyze how the induced currents for t > t(2) can be controlled by the rate of flux variation [Formula: see text]. The dynamics of electrons in the ring is described using the Hubbard and the extended Hubbard models. In the Hubbard model with infinite on-site repulsion the current for t > t(2) is shown to be independent of the flux variation before t(2) and is fully determined by a solution of the initial equilibrium problem and by the value φ(2) of the flux. For intermediate values of the interaction strength the current displays regular or irregular time oscillations and the amplitude of oscillations is sensitive to the rate of the flux changing [Formula: see text]: slow changes of the flux result in small amplitudes of the current oscillations and vice versa. We demonstrate that the time dependence of the induced current bears information on electronic correlations. Our results have important implications for not only mesoscopic rings but also the designing of quantum motors built out of ring-shaped optical lattices.