Plasmons in a Superlattice with a Doped Surface Layer

Sy, H.K.; Chua, Tin Chiu

doi:10.1002/pssb.2221760113

Cited by 6 publications

(3 citation statements)

References 12 publications

(8 reference statements)

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“…These 2DES are characterizd either by the electron concentration different from that in the other 2DES or by shifting from their periodical position in the SL. Recently SPs were investigated in infinite [1,2,8], semiinfinite [3,4] and finite WDSL[5,6,7]. These papers show that the SP spectrum in WDSL is different considerably from the SP spectrum in the ordered SL.…”

mentioning

confidence: 98%

Propagation of surface polaritons in finite superlattice with one shifted layer placed into the quantizing magnetic field

Beletskii¹,

Bludov²

1999

DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/W

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The paper deals with the theoretical investigation of surface polaritons (SP) in weakly disordered superlattice (WDSL), formed of the finite number of 2-dimensional electron systems (2DES). The weak disorderedness consists in the fact that one of the inner 2DES was shifted from the position of periodicity on some distance A . It is shown, that under the integer quantum Hall effect (IQHE) conditions all characteristics of SP are represented by the quantized values. The conditions under which the SP phase and group velocities in the finite WDSL can be considerably less than that in the isolated 2DES are defined.Surface polaritons (SP) in semiconductors with superlattices (SL) possess various and interesting properties. The weakly disordered SLs (WDSLs), which have some defect of SL's periodicity, are the objects of great researcher's interest. That defect consists in the fact that the SL contains one or several irregular 2-dimensional electron systems (2DES). These 2DES are characterizd either by the electron concentration different from that in the other 2DES or by shifting from their periodical position in the SL. Recently SPs were investigated in infinite [1,2,8], semiinfinite [3,4] and finite WDSL[5,6,7]. These papers show that the SP spectrum in WDSL is different considerably from the SP spectrum in the ordered SL. So, the SP spectrum in WDSL contain local modes of the SP, which electromagnetic field is localized in the vicinity of the WDSL's defect of periodicity.We consider the WDSL, formed of the finite number M of infinitely extended 2DES, arranged along z-axis at planes z = z , ( m = 0,. . . , M -1) and imbedded in the uniform dielectric medium with dielectric constant E . The constant quantizing magnetic field B is directed perpendicularly to 2DES along z-axis. We suppose that one of the inner 2DES ( m = 1,. . . , M -2 ) is shifted comparatively to it's periodical position on the distance A . Then the expression for the 2DES positions in the WDSL can be represented in the form: zm = md + Here Sm,q is the Cronecker symbol, d is the distance between the 2DES in the ordered SL; q = 1,. . . , M -2 is the number of shifted 2DES. We suppose that the Landau-level filling factor K is equal in all 2DES (K = rse2 n , e = (cxB)x is magnetic length, n is the electron density in 2DES). The analysis of the SP dispersion properties we will carry out using the formula for 2DES conductivity tensor obtained in [9,10]. Fig.1 presents the SP spectrum (bold solid lines)

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mentioning

confidence: 98%

Propagation of surface polaritons in finite superlattice with one shifted layer placed into the quantizing magnetic field

Beletskii¹,

Bludov²

1999

DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/W

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“…From the point of view of practical application so-called weakly disordered arrays of low-dimensional systems are the objects of interest. Recently the plasmons in weakly disordered superlattices, formed of an finite number of equally spaced twodimensional electron systems (2DES), were theoretically investigated [9,10,11,12]. The weakly disordered superlattice is characterized by the fact that all 2DES possess equal density of electrons except one ("defect") 2DES, which density of electrons differs from that of other 2DES.…”

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confidence: 99%

Intrasubband plasmons in a weakly disordered array of quantum wires

Bludov

2003

Low Temperature Physics

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Abstract. The paper deals with the theoretical investigation of plasmons in weakly disordered array of quantum wires, consisting of finite number of quantum wires, arranged at an equal distance from each other. The array of quantum wires is characterized by the fact that the density of electrons of one "defect" quantum wire was different from that of other quantum wires. At the same time it is assumed that "defect" quantum wire can be arranged at an arbitrary position in array. It is shown that the amount of plasmon modes in weakly disordered array of quantum wires is equal to the number of quantum wires in array. The existence of the local plasmon mode, whose properties differ from those of usual modes, is found. We point out that the local plasmon mode spectrum is slightly sensitive to the position of "defect" quantum wire in the array. At the same time the spectrum of usual plasmon modes is shown to be very sensitive to the position of "defect" quantum wire.

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“…From the point of view of practical application the so-called weakly disordered arrays of low-dimensional systems are the objects of interest. Recently the plasmons in weakly disordered superlattice, formed of a finite number of equally spaced two-dimensional electron systems, have been theoretically investigated in cases where the external magnetic field is absent [14,15,16] or present [17]. The weakly disordered superlattice is characterized by the fact that all of two-dimensional systems possess the equal density of electrons except one ("defect") two-dimensional system, whose density of electrons differs from that of other two-dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

Propagation of intrasubband plasmons in a finite array of quantum wires placed into an external magnetic field

Bludov

The Fifth International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves (IEEE C

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IntroductionQuasi one-dimensional electron systems (1DESs) or quantum wires (QWs) are artificial structures in which the motion of charge carriers is confined in two transverse directions but is essentially free (in the effective mass sense) in the longitudinal direction [ 11. Collective charge-density excitations, or plasmons in QWs are of great interest to physicists. Earlier plasmons in QWs in the presence of the external magnetic field were investigated both theoretically [2] and experimentally [3]. In those papers it was shown that the 1D plasmons possess the negative magnetic field dispersion (in high magnetic field). At the weak magnetic field the properties of plasmons in single QW depend considerably upon the value of one-dimensional electrons density in the QW.From the viewpoint of practical application the so-called weakly disordered arrays of low-dimensional systems are the objects of interest. Recently the plasmons in a finite weakly disordered array of QWs without an external magnetic field have been investigated theoretically in paper [4]. It has been supposed that the defect QW can occupy an arbitrary position in the array. It was found that the plasmon spectrum of such an array contains the local plasmon mode, whose properties differ from those of other plasmon modes. It is shown in paper [4] that the position of the defect QW in the array does not strongly affect the spectrum of the local plasmon mode but it exerts an significant influence on the spectrum of other plasmon modes. At the same time, when the defect QW is arranged inside the array, the plasmon spectrum contains modes, whose dispersion properties do not depend on the value of the electron density in the defect QW. In this paper we investigate intrasubband plasmons in a finite weakly disordered array of QWs, placed into an external magnetic field.Dispersion relation

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Plasmons in a Superlattice with a Doped Surface Layer

Cited by 6 publications

References 12 publications

Propagation of surface polaritons in finite superlattice with one shifted layer placed into the quantizing magnetic field

Propagation of surface polaritons in finite superlattice with one shifted layer placed into the quantizing magnetic field

Intrasubband plasmons in a weakly disordered array of quantum wires

Propagation of intrasubband plasmons in a finite array of quantum wires placed into an external magnetic field

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