RKKY interaction in one- and two-dimensional electron gases

Litvinov, V. I.; Dugaev, V. K.

doi:10.1103/physrevb.58.3584

Cited by 83 publications

(68 citation statements)

References 5 publications

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“…On the one hand, the same Lindhard function contains information about Fermisurface nesting properties, as its real part at ω → 0 is peaked at the nesting vectors and determines the propensity towards Fermi-surface instabilities in charge-or spin-density-wave systems [88][89][90]. On the other hand, it also enters the expression for the oscillatory Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between localized Kondo spins in metals, which is mediated by the conduction electrons over long distances [91][92][93][94][95][96]. Therefore, when localized magnetic impurities are added to a nonmagnetic metal, they tend to develop short-range dynamic correlations that are seen as QEMS scattering in neutron spectroscopy or even lead to a long-range magnetic ordering of the impurity spins [97,98].…”

Section: Discussionmentioning

confidence: 99%

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
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We investigate the doping-induced changes in the electronic structure of CeB 6 on a series of substituted Ce 1−x R x B 6 samples (R = La, Nd) using diffuse neutron scattering. We observe a redistribution of magnetic spectral weight across the Brillouin zone, which we associate with the changes in the Fermi-surface nesting properties related to the modified charge carrier concentration. In particular, a strong diffuse peak at the corner of the Brillouin zone (R point), which coincides with the propagation vector of the elusive antiferroquadrupolar (AFQ) order in CeB 6 , is rapidly suppressed by both La and Nd doping, like the AFQ order itself. The corresponding spectral weight is transferred to the X (00 1 2 ) point, ultimately stabilizing a long-range AFM order at this wave vector at the Nd-rich side of the phase diagram. At an intermediate Nd concentration, a broad diffuse peak with multiple local maxima of intensity is observed around the X point, evidencing itinerant frustration that gives rise to multiple ordered phases for which Ce 1−x Nd x B 6 is known. On the La-rich side of the phase diagram, however, dilution of the magnetic moments prevents the formation of a similar (00 1 2 )-type order despite the presence of nesting. Our results demonstrate how diffuse neutron scattering can be used to probe the nesting vectors in complex f-electron systems directly, without reference to the single-particle band structure, and emphasize the role of Fermi surface geometry in stabilizing magnetic order in rare-earth hexaborides.

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Section: Discussionmentioning

confidence: 99%

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
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“…As a result, the spin polarization at a given point of the lattice, mediated via the 2D electrons, is sensitive to the location of the magnetic impurity (in one sublattice or the other), see Eq. (16).…”

Section: Magnetic Polarization Due To a Single Impuritymentioning

confidence: 99%

Exchange interaction of magnetic impurities in graphene

2006

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The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy gap at the Fermi level, which makes the usual RKKY model not applicable. The results show that the effective indirect exchange interaction is described by a range function which decays exponentially with the distance between magnetic moments. The interaction is also shown to depend on whether the two localized moments belong to the same sublattice or are located in two different sublattices.

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“…(34) is the same as the usual two-dimensional RKKY interaction 39,41 except that k F and S 2 are replaced by q F and S 2 (θ 12 ), respectively. It is reasonable that the twisted coupling of two localized spins takes the same form S 1 ·S 2 (θ 12 ) as for the 1D system, because for q F R ≫ 1 a scattering wave of 2D system behaves like a plane wave.…”

mentioning

confidence: 99%

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

2004

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We study theoretically the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in one-and twodimensions in presence of a Rashba spin-orbit (SO) coupling. We show that rotation of the spin of conduction electrons due to SO coupling causes a twisted RKKY interaction between localized spins which consists of three different terms: Heisenberg, Dzyaloshinsky-Moriya, and Ising interactions. We also show that the effective spin Hamiltonian reduces to the usual RKKY interaction Hamiltonian in the twisted spin space where the spin quantization axis of one localized spin is rotated.There has been a great deal of interest in the field of spintronics where spin degrees of freedom of electrons are manipulated to produce a desirable outcome 1,2 . Eminent examples are given by the giant magnetoresistance (GMR) effect 3,4,5 and the interlayer exchange coupling in magnetic multilayers 6,7,8 . The interlayer exchange coupling is explained in the context of Ruderman-KittelKasuya-Yosida (RKKY) interaction 9,10 , equivalently, or in terms of spin-dependent electron confinement 11,12 . The RKKY interaction is an indirect exchange interaction between two localized spins via the spin polarization of conduction electrons 13,14,15,16 .Recently, much attention has been focused on the effect of the Rashba spin-orbit (SO) coupling in twodimensional electron gases (2DEG) 17 . Investigation of the Rashba effect of 2DEG in semiconductor heterostructures has been stimulated by the proposition of a spin field effect transistor 18 . It has been established the Rashba SO coupling can be controlled by means of a gate voltage 19,20,21,22 . The Rashba effect has also been observed in 2DEG formed from surface states electrons at metal surfaces such as Au (111) 23,24,25,26,27 , Li/W(110) or Li/Mo(110) 28 . It has also been found that confinement of the surface state due to atomic steps on vicinal surfaces leads to quasi one-dimensional (1D) surface states, which also exhibit the Rashba effect 29,30,31 .Usually the RKKY interaction yields a parallel or antiparallel coupling of localized spins (Heisenberg coupling). However, if spin of conduction electrons precesses due to the spin-orbit coupling, it can be possible to produce a non-collinear Dzyaloshinsky-Moriya (DM) coupling of localized spins 32,33,34 . In this paper, we investigate the RKKY coupling between localized spins embedded in a 1D-or 2DEG with Rashba SO coupling. We show that rotation of the spin of conduction electrons due to the Rashba SO coupling causes a twisted RKKY interaction between localized spins which consists of three different terms: Heisenberg, Dzyaloshinsky-Moriya, and Ising interactions. We point out that a perturbative treatment of the SO coupling as is usually done 32,33,34 is valid only for small distances between the localized spins; in this case the DM and Ising terms are respectively linear and quadratic with respect to the SO coupling strength. In the limit of large distances, a non-perturbative treatment of the SO coupling is necessary, and one obtains DM and Ising terms...

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RKKY interaction in one- and two-dimensional electron gases

Cited by 83 publications

References 5 publications

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
View full text Add to dashboard Cite

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
View full text Add to dashboard Cite

Exchange interaction of magnetic impurities in graphene

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

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RKKY interaction in one- and two-dimensional electron gases

Cited by 83 publications

References 5 publications

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and Nikitin1, Portnichenko2, Dukhnenko3 et al. 2018Phys. Rev. B123160View full textAdd to dashboardCite

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and Nikitin1, Portnichenko2, Dukhnenko3 et al. 2018Phys. Rev. B123160View full textAdd to dashboardCite

Exchange interaction of magnetic impurities in graphene

Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling

Contact Info

Product

Resources

About

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
View full text Add to dashboard Cite

Doping-induced redistribution of magnetic spectral weight in the substituted hexaborides Ce1−xLaxB6 and
Nikitin
¹
,
Portnichenko
²
,
Dukhnenko
³

et al. 2018
Phys. Rev. B
12
3
16
0
View full text Add to dashboard Cite