Aharonov-Bohm conductance of a disordered single-channel quantum ring

Abstract

We study the effect of weak disorder on tunneling conductance of a single-channel quantum ring threaded by magnetic flux. We assume that temperature is higher than the level spacing in the ring and smaller than the Fermi energy. In the absence of disorder, the conductance shows sharp dips (antiresonances) as a function of magnetic flux. We discuss different types of disorder and find that the short-range disorder broadens antiresonances, while the long-range one leads to arising of additional resonant dips. We demonstrate that the resonant dips have essentially non-Lorentzian shape. The results are generalized to account for the spin-orbit interaction which leads to splitting of the disorder-broadened resonant dips, and consequently to coexisting of two types of oscillations (both having the form of sharp dips): Aharonov-Bohm oscillations with magnetic flux and Aharonov-Casher oscillations with the strength of the spin-orbit coupling. We also discuss the effect of the Zeeman coupling.

12 pages, 7 figures

References in corpus (30)

• An Electronic Mach-Zehnder Interferometer
• Spin interference effects in ring conductors subject to Rashba coupling
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Spin-dependent (magneto)transport through a ring due to spin-orbit interaction
• Direct observation of the Aharonov-Casher phase
• Experimental demonstration of the time reversal Aharonov-Casher effect
• Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
• Crossover from mesoscopic to universal phase for electron transmission in quantum dots
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
• Zero-conductance resonances and spin-filtering effects in ring conductors subject to Rashba coupling
• Bound states and persistent currents in topological insulator rings
• Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers
• Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings
• Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm interferometer
• Effects of interactions in transport through Aharonov-Bohm-Casher interferometers
• Pumping in a mesoscopic ring with Ahronov-Casher effect
• Controlled dephasing of an electron interferometer with a path detector at equilibrium
• Aharonov-Bohm conductance through a single-channel quantum ring: Persistent-current blockade and zero-mode dephasing
• Aharonov-Casher effect in a two dimensional hole gas with spin-orbit interaction
• Quantum pumping and rectification effects in Aharonov-Bohm-Casher ring-dot systems
• Interplay of Coulomb blockade and Aharonov-Bohm resonances in a Luttinger liquid
• High-temperature Aharonov-Bohm-Casher interferometer
• Tunable Aharonov-Anandan phase in transport through mesoscopic hole rings
• Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction
• Electron transport in a two-terminal Aharonov-Bohm ring with impurities
• Linear conductance of an interacting carbon nanotube ring
• Aharonov-Bohm effect in one-channel weakly disordered rings

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