Plasma Frequency of the Electron Gas in Layered Structures

Grecu, D.

doi:10.1103/physrevb.8.1958

Cited by 140 publications

(33 citation statements)

References 6 publications

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“…Detailed calculations confirm this (Grecu 1975), but the situation is completely changed when the electron tunnelling is taken into account. The same conclusion is obtained from the point of view of classical electrodynamics where the medium is characterized by a frequency-dependent anisotropic (uniaxial) dielectric constant.…”

Section: Introductionmentioning

confidence: 65%

“…In a previous paper (Grecu 1973), dealing with the bulk plasmon, two frequencies have naturally appeared (A2.6) uT = Tc/h being a tunnelling velocity. The values of w of interest in the problem of surface plasmons are just below wp2 and this suggests that we introduce the quantity R = w/op2.…”

Section: Appendixmentioning

confidence: 99%

“…Recently it has been thoroughly discussed by Fetter (1974). In a previous paper the model was generalized by taking into account the electron tunnelling between adjacents planes (Grecu 1973). It is the aim of this paper to apply this model to a thin film of a layered material and to discuss the plasma oscillations in such a system, especially the surface plasmons.…”

Section: Introductionmentioning

confidence: 99%

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Generation of Electron Cyclotron Resonance Plasma in the VHF Band

Oda¹,

Noda²,

Matsumura³

1989

Jpn. J. Appl. Phys.

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The dispersion relation for plasma oscillations in a thin layered film is calculated in the SCF approximation for a model in which the electron motion along the film thickness is described like a tunnelling process between adjacent planes. For a semi-infinite medium the linear term in the dispersion relation of the surface plasmon is obtained. This is done using an appropriate expansion technique and in the limit of a 'greate' separation between adjacent planes.

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Section: Introductionmentioning

confidence: 65%

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generation of Electron Cyclotron Resonance Plasma in the VHF Band

Oda¹,

Noda²,

Matsumura³

1989

Jpn. J. Appl. Phys.

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“…A -is the area of the region to which the motion of the electrons is confined. In the case of a SL consisting of thin magnetic, isolating layers separated by the nonmagnetic metallic spacers the single particle spectrum of our system is given by [6] where T is the hopping integral and α denotes the SL modulation period. It is evident that Eq.…”

mentioning

confidence: 99%

“…Since we are interested in the metallic system with superlattice (multilayer) symmetry we must account explicitly for the anisotropy associated with the growth direction. The wave function of conduction electrons in the layered system with modulation along the z-axis has the following general form [6]:…”

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confidence: 99%

RKKY-like Biquadratic Exchange in Magnetic Superlattices

1996

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We show that in magnetic metallic superlattices along with the bilinear RKKY-reminiscent interaction between magnetic superlattices there can be an important quadrupole-quadrupole coupling. In an analytical way we derive the range functions of the quadrupol-quadrupole interaction and discuss its relation to magnetoresistivity.PACS numbers: 75.70. Cn, 75.70.Fr Since the discovery of antiferromagnetic coupling of ferromagnetic layers across a nonmagnetic metallic spacer layer, the magnetic superlattices (SL) have become an object of intense interest of both theoretical as well as experimental studies. The problem of RKKY-reminiscent spin polarization oscillations, with a long period and giant interface magnetoresistance attracted the most attention. The recently discovered, π/2 coupling between magnetizations of the neighbouring magnetic layers [1] added new interest to the problem. This type of ordering suggests that along with the bilinear coupling of the type J 1 m1 • m2 between magnetizations of adjacent layers there is an additional multipolar interaction. There were many attempts describing the mechanisms that give rise to biquadratic exchange, being a speciflc form of coupling between magnetic quadupole moments of the ions (for details see Refs. [2,3] and references therein).The aim of the paper is to study a new intrinsic mechanism that originates in multipolar exchange coupling. In the following we will show that the quadrupole-quadupole coupling can arise in a quite natural way from direct scattering of conduction electrons on magnetic multipole moments in the manner similar to bilinear RKKY interaction. The starting point for any description of metallic magnetic systems is the case of dilute alloys, when a few TM or RE ions are immersed in the sea of conduction electrons. The coupling of the ionic spin Sn with the itinerant electron spin σ is usually taken as the contact interaction [4]: Hex = -2JSn σδ(r). In the case of non-s magnetic ion state along with the scattering due to dipolar contact interaction there appears also scattering of conduction electrons on quadupolar moments. Kondo [5] has proved that the interaction Vqc (k) between conducting electrons and the quadrupoles is given by (417)

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Plasma Oscillations in a Superlattice

Shmelev¹,

Ciiaikovskii²,

Павлович³

1977

Physica Status Solidi (b)

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Tho spectrum of plasma oscillations, propagating along the superlattice (SL) axis is calculated in the random phase approximation (RPA) taking the umklapp processes into account. I n the case of strong screening the plasmon frequency is determined by SL parameters and temperature and found to do not depend on wave number. At weak screening quasineutral electron oscillations occur. I n the case of small wave numbers the oscillations follow the acoustic law of dispersion and propagate with a frequency of the same order as the electronic ones along the SL axis. The characteristic feature of plasmons propagating along the SL axis, is the absence of Landau damping since the decay of these plasmons in pairs of quasi-particles is forbidden by energy-momentum conservation laws. The existence of plasmons, propagating along the axis, may be a n indication of electron tunnelling between layers.Es wird das Spektrum von Plasmaoszillationen, die sirh in Richtung der Supergitter(SL)-Achse ausbreiten in der ,,random phase"-Approximation (RPA) berechnet, wobei Umklapp-Prozessc berucksichtigt werden. I m Falle starker Abschirmung wird die Plasmonfrequenz durch die SLParameter und Temperatur bestimmt und gefunden, dal3 sie nicht von der Wellenzahl abhangt. Bei schwacher Abschirmung treten quasineutrale Elektronenschwingungen auf. Fur den Fall kleiner Wellenzahlen befolgen die Oszillationen das akustische Dispersionsgesetz und breiten sich mit einer Frequenz von der gleichen GroBenordnung wie die der Elektronen in Richtung der SLAchse aus. Charakteristisch fur die sirh in Richtung der SL-Achse ausbreitenden Plasmonen ist das Fehlen von Landau-Dampfung, da der Zerfall dieser Plasmonen in Quasiteilchen-Paare durch Energie-Impulserhaltungssatze verboten ist. Die Existenz von Plasmonen, die sich in Richtung der Achse ausbreiten, kann als Zeichen fur Elektronentunneln zwischen Schichten angesehen werden.

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Plasma Frequency of the Electron Gas in Layered Structures

Cited by 140 publications

References 6 publications

Generation of Electron Cyclotron Resonance Plasma in the VHF Band

Generation of Electron Cyclotron Resonance Plasma in the VHF Band

RKKY-like Biquadratic Exchange in Magnetic Superlattices

Plasma Oscillations in a Superlattice

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