0000000000053205

AUTHOR

Charles A. Stafford

showing 2 related works from this author

Kondo Resonance in a Mesoscopic Ring Coupled to a Quantum Dot: Exact Results for the Aharonov-Bohm/Casher Effects

2000

We study the persistent currents induced by both the Aharonov-Bohm and Aharonov-Casher effects in a one-dimensional mesoscopic ring coupled to a side-branch quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher fluxes, the problem can be mapped onto an integrable model, exactly solvable by a Bethe ansatz. In the case of a pure magnetic Aharonov-Bohm flux, we find that the presence of the quantum dot has no effect on the persistent current. In contrast, the Kondo resonance interferes with the spin-dependent Aharonov-Casher effect to induce a current which, in the strong-coupling limit, is independent of the number of electrons in the ring.

General Physics and AstronomyFOS: Physical sciences02 engineering and technologyElectron01 natural sciencesResonance (particle physics)Bethe ansatzCondensed Matter - Strongly Correlated Electronssymbols.namesakeQuantum mechanics0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)010306 general physicsAharonov–Bohm effectPhysicsMesoscopic physicsCondensed Matter - Mesoscale and Nanoscale PhysicsNonlinear Sciences - Exactly Solvable and Integrable SystemsCondensed matter physicsStrongly Correlated Electrons (cond-mat.str-el)Persistent currentQuantum Physics021001 nanoscience & nanotechnologyCondensed Matter::Mesoscopic Systems and Quantum Hall EffectQuantum dotsymbolsKondo effectExactly Solvable and Integrable Systems (nlin.SI)0210 nano-technology
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Aharonov–Bohm/Casher effect in a Kondo ring

2000

The in#uence of a magnetic impurity or ultrasmall quantum dot on the spin and charge persistent currents of a mesoscopic ring is investigated. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov}Bohm/Casher #uxes, and coupled via an antiferromagnetic exchange interaction to a localized electron. The problem is mapped onto a Kondo model for the even-parity channel plus free electrons in the odd-parity channel. The twisted boundary conditions representing the #uxes couple states of opposite parity unless the twist angles / a satisfy / a "f a p, where f a are integers, with spin index a"C, B. For these special values of / a , the model is solvable by …

PhysicsMesoscopic physicsCondensed matter physicsExchange interactionPersistent currentParity (physics)Condensed Matter::Mesoscopic Systems and Quantum Hall EffectCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsBethe ansatzQuantum mechanicsCondensed Matter::Strongly Correlated ElectronsKondo effectElectrical and Electronic EngineeringKondo modelMagnetic impurityPhysica B: Condensed Matter
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