Effects of electron-electron interaction and electron spin correlations on the exchange coupling in mesoscopic rings

Semiromi, Ebrahim Heidari; Ebrahimi, Farshad

doi:10.1103/physrevb.73.195418

Cited by 5 publications

(4 citation statements)

References 34 publications

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“…The exchange coupling J varies periodically with flux and peaks occur for integer values of ϕ/ϕ 0 in agreement with refs. [25] and [33]. Indeed, we see from fig.…”

Section: (C) and (D)mentioning

confidence: 73%

Gate-tunable indirect exchange interaction in spin-orbit–coupled mesoscopic rings

Nikoofard

Semiromi

2015

EPL

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We study the carrier-mediated exchange interaction, the so-called Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling, between two magnetic impurity moments embedded in a semiconductor mesoscopic ring. We treat the ring in the presence of an Aharonov-Bohm-type magnetic flux and the Rashba and Dresselhaus spin-orbit interactions (RSOI and DSOI). Energy eigenvalues of the system are obtained within a tight-binding framework and the strength of the indirect exchange interaction vs. RSOI strengths are plotted for different values of DSOI strength. The results show that the type of the impurity magnetic order, ferromagnetic (F) or antiferromagnetic (AF), depends on the RSOI and DSOI strengths. This leads to a full electrical control on the magnetic alignment of the system through, e.g., an external gate voltage.

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“…The exchange coupling J varies periodically with flux and peaks occur for integer values of ϕ/ϕ 0 in agreement with refs. [25] and [33]. Indeed, we see from fig.…”

Section: (C) and (D)mentioning

confidence: 73%

Gate-tunable indirect exchange interaction in spin-orbit–coupled mesoscopic rings

Nikoofard

Semiromi

2015

EPL

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“…The peaks observed have been argued to be suggestive of paramagnetic instability [11,12]. A recent self-consistent field calculation on the exchange coupling in mesoscopic rings using the LST formalism also shows a peak in the magnetic structure factor [28]. The magnetic structure factor evaluated in the HA formalism does not impose an upper limit on the values of r s to obtain a solution, however it can be observed from curves B and E, C and F in figure 3(a) that the peak smooths out for increasing values of r s .…”

Section: Resultsmentioning

confidence: 88%

Magnetic structure factor and pair correlation function for a semiconductor quantum wire

Ashraf¹,

Sharma

Vyas

2007

J. Phys.: Condens. Matter

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In this paper we report the spin correlation and its effects on the many-body properties of a quantum wire whose width is given practical consideration. The single-pole approximation, which is of much relevance in studying the many-body properties of an interacting one-dimensional electron gas (1DEG) because of the severe constraints imposed on the phase space of plasma–hole excitations, has been used to obtain analytical results. The local-field corrections are incorporated within the Hubbard approximation (HA). We find the results obtained for low electron densities under the single-pole approximation on the paramagnon dispersion relation, magnetic structure factor and the symmetric and anti-symmetric pair correlation function to be in good quantitative agreement with those obtained under heavily computational self-consistent field calculations. Unlike prior reported work on the magnetic structure factor and pair correlation function, our calculation is applicable to quantum wires of width less than 10 nm, where interesting quantum size effects are observed.

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“…The RKKY effect has also been widely studied in mesoscopic systems both without spin-orbit interactions [7][8][9][10][11][12] and with spin-orbit interactions [13][14][15][16] . In the latter case spin-orbit interactions make the RKKY spin density oscillations anisotropic.…”

Section: Introductionmentioning

confidence: 99%

Mass modification of itinerant carriers in RKKY oscillations induced by finite-range exchange interactions

Smirnov

2010

Phys. Rev. B

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We investigate the Ruderman-Kittel-Kasuya-Yosida oscillations of the itinerant carrier spin density in a system where those oscillations appear only due to a finite distribution of a localized spin. The system represents a half-infinite one-dimensional quantum wire with a magnetic impurity located at its edge. In contrast to the conventional model of a pointlike exchange interaction the itinerant carrier spin-density oscillations in this system exist. We analytically demonstrate that when the radius of the exchange interaction is less than the wavelength of the itinerant carriers living on the Fermi surface, the long-range behavior of the oscillations is identical to the one taking place in the zero-radius limit of the same exchange interaction but for an infinite one-dimensional quantum wire where, in comparison with the original half-infinite system, the mass of the itinerant carriers is strongly modified by the exchange interaction radius. On the basis of our analysis we make a suggestion on directionality of surface Ruderman-Kittel-Kasuya-Yosida interaction shown in recent experiments: we believe that in general the anisotropy of the Ruderman-Kittel-Kasuya-Yosida interaction could result not only from the anisotropy of the Fermi surface of itinerant carriers but also from the anisotropy of the spin carrying atomic orbitals of magnetic impurities.

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Effects of electron-electron interaction and electron spin correlations on the exchange coupling in mesoscopic rings

Cited by 5 publications

References 34 publications

Gate-tunable indirect exchange interaction in spin-orbit–coupled mesoscopic rings

Gate-tunable indirect exchange interaction in spin-orbit–coupled mesoscopic rings

Magnetic structure factor and pair correlation function for a semiconductor quantum wire

Mass modification of itinerant carriers in RKKY oscillations induced by finite-range exchange interactions

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