Ruderman-Kittel-Kasuya-Yosida spin density oscillations: impact of the finite radius of the exchange interaction

Abstract

A non-interacting electron gas on a one-dimensional ring is considered at finite temperatures. The localized spin is embedded at some point on the ring and it is assumed that the interaction between this spin and the electrons is the exchange interaction being the basis of the Ruderman-Kittel-Kasuya-Yosida indirect exchange effect. When the number of electrons is large enough, it turns out that any small but finite interaction radius value can always produce an essential change of the spin density oscillations in comparison with the zero interaction radius traditionally used to model the Ruderman-Kittel-Kasuya-Yosida effect.

arXiv comment6 pages, 4 figures, early attempts to take into account the finite size of the ionic spin distribution in connection with Heusler alloys are now metioned

References in corpus (6)

• Energy spectra of quantum rings
• Decoherence of localized spins interacting via RKKY interaction
• Nuclear-spin qubits interaction in mesoscopic wires and rings
• Indirect Exchange Interaction between two Quantum Dots in an Aharonov-Bohm Ring
• Tunable Kondo screening in a quantum dot device
• Two impurity Kondo problem under Aharonov--Bohm and Aharonov--Casher Effects

Cited by in corpus (5)

• RKKY interaction in a disordered two-dimensional electron gas with Rashba and Dresselhaus spin-orbit couplings
• Magnetization dynamics at elevated temperatures
• Evolution of the multiband RKKY interaction: Application to iron pnictides and chalcogenides
• Tunable correlation effects of magnetic impurities by the cubic Rashba spin-orbit couplings
• Mass modification of itinerant carriers in RKKY oscillations induced by finite range exchange interactions