Ruderman-Kittel-Kasuya-Yosida range function of a one-dimensional free-electron gas

Yafet, Y.

doi:10.1103/physrevb.36.3948

Cited by 292 publications

(197 citation statements)

References 3 publications

Supporting

Mentioning

185

Contrasting

Order By: Relevance

“…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
View full text Add to dashboard Cite

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.

show abstract

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
View full text Add to dashboard Cite

show abstract

“…where f͑x͒ sin l͞l 2 2 cos l͞l 1 p͞2 2 Si͑l͒ (3) is the same function that enters in the expression for the Friedel oscillations of a two-dimensional planar surface [14]. Here l 2k F x, k F is the Fermi momentum of the electron gas, R is the radius of the potential shell (i.e., R is the radius of the jellium sphere 1 b), and the Si function is defined as Si͑l͒ R 1 0 dz sin͑lz͒͞z.…”

mentioning

confidence: 99%

Electronic Shell Structure and Relative Abundances of Cesium-CoatedC60

et al. 1996

View full text Add to dashboard Cite

The relative abundances of C 60 Cs͑N͒, N # 500, determined from mass spectra measurements, are presented and explained in terms of the successive filling of the electronic shells by the cesium valence electrons. The motion of the Cs valence electrons, confined to a metal layer surrounding the C 60 molecule, is described within the jellium model, with Cs spread into a uniform positive background. The electronic shell structure is calculated with the local approximation to density-functional theory and is shown to correspond to measured abundances. Strong Friedel oscillations in the electronic density are found and closed forms for them are given for jellium spheres both with and without the void. [S0031-9007(96) Recently alkali clusters have been shown to exhibit an electronic shell structure, which can be described in a jellium model where the alkali valence electrons move in the uniform positive background of the ions [1][2][3][4][5]. The stability of these clusters as a function of size (i.e., as a function of the number of jellium electrons) is described in terms of occurrence of closed electronic shells.In this paper we describe a new system, C 60 Cs͑N͒ (a buckyball coated with N Cs atoms), for which relative abundances are also shown to be described reasonably well in terms of the electronic shell structure within the jellium model. These metal-coated buckyballs were produced by coevaporation of fullerenes and cesium metal in a gas aggregation cell [6]. They were subsequently ionized with monochromatic photons and analyzed with a time-offlight mass spectrometer. The ionization energy of the cluster oscillates with the size of the cluster, which is caused by the successive filling of the electronic shells of the C 60 Cs͑N͒ system. For certain values of the total number of electrons, all electronic shells are either completely filled or completely empty. Addition of just one more electron causes a new shell to open up leading to a drop in the ionization energy. It is tedious and virtually impossible to ionize each individual cluster and measure its ionization energy. Fortunately, the shell oscillations can be observed in a much simpler experiment where the clusters are ionized with photons followed by a measurement of a single mass spectrum. The photon energy is chosen in such a way that it is large enough to ionize the openshell clusters, but is too small to ionize the closed-shell clusters. Clusters with closed-shell structures are therefore not ionized and do not appear in the mass spectra.Thus dips in the mass spectra correspond to closed-shell clusters.Figure 1(a) shows the measured mass spectra of C 60 Cs͑N͒ clusters ionized at different photon energies. The dips in the mass spectra are indicated by the corresponding number N of cesium atoms.The C 60 Cs͑N͒ system is a very complicated system for exact electronic-structure studies and it is therefore desirable to develop approximate models that can describe its main features and which, furthermore, provide general insight into its properties. We shall he...

show abstract

“…These been also carried out. In order to collect detailed information about the acting mechanisms associated to the coupling between the FM layers through the spacer, which is determined by a certain interlayer exchange parameter 16,17 , the magnetization state of both FM layers is simultaneously evaluated. Finally, both ferromagnetic (FM) and antiferromagnetic (AF) coupling cases are considered, the former given by a positive , and the latter by a negative .…”

Section: Introductionmentioning

confidence: 99%

Current-driven domain wall dynamics in ferromagnetic layers synthetically exchange-coupled by a spacer: A micromagnetic study

Alejos

Raposo

Sánchez-Tejerina

et al. 2018

Journal of Applied Physics

View full text Add to dashboard Cite

The current-driven domain wall motion along two exchange-coupled ferromagnetic layers with perpendicular anisotropy is studied by means of micromagnetic simulations and compared to the conventional case of a single ferromagnetic layer. Our results, where only the lower ferromagnetic layer is subjected to the interfacial Dzyaloshinskii-Moriya interaction and to the spin Hall effect, indicate that the domain walls can be synchronously driven in the presence of a strong interlayer exchange coupling, and that the velocity is significantly enhanced due to the antiferromagnetic exchange coupling as compared with the single-layer case. On the contrary, when the coupling is of ferromagnetic nature, the velocity is reduced. We provide a full micromagnetic characterization of the current-driven motion in these multilayers, both in the absence and in the presence of longitudinal fields, and the results are explained based on a one-dimensional model. The interfacial DzyaloshinskiiMoriya interaction, only necessary in this lower layer, gives the required chirality to the magnetization textures, while the interlayer exchange coupling favors the synchronous movement of the coupled walls by a dragging mechanism, without significant tilting of the domain wall plane. Finally, the domain wall dynamics along curved strips is also evaluated.These results indicate that the antiferromagnetic coupling between the ferromagnetic layers mitigates the tilting of the walls, which suggest these systems to achieve efficient and highlypacked displacement of trains of walls for spintronics devices. A study, taking into account defects and thermal fluctuations, allows to analyze the validity range of these claims.2

show abstract

Ruderman-Kittel-Kasuya-Yosida range function of a one-dimensional free-electron gas

Cited by 292 publications

References 3 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

Electronic Shell Structure and Relative Abundances of Cesium-CoatedC60

Current-driven domain wall dynamics in ferromagnetic layers synthetically exchange-coupled by a spacer: A micromagnetic study

Contact Info

Product

Resources

About

Ruderman-Kittel-Kasuya-Yosida range function of a one-dimensional free-electron gas

Cited by 292 publications

References 3 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

Electronic Shell Structure and Relative Abundances of Cesium-CoatedC60

Current-driven domain wall dynamics in ferromagnetic layers synthetically exchange-coupled by a spacer: A micromagnetic study

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