Subband spacings of quasi-one-dimensional inversion channels on InSb

Alsmeier, J.; Sikorski, Ch.; Merkt, U.

doi:10.1103/physrevb.37.4314

Cited by 80 publications

(7 citation statements)

References 11 publications

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“…In other early studies, the effects of a magnetic field on the band structure of InSb were investigated by Roth et al 10,11 and by Pidgeon et al 12 . These theoretical and experimental studies led to a better understanding of the beats observed in Shubnikov-de Haas oscillations in III-V semiconductors 13 . Other experiments showed that the lowest conduction band state in InSb has the spherically symmetric Γ 6 symmetry 8,14 , and that the effective mass of the conduction band electrons is only a small fraction of the free electron mass 14 .…”

Section: Introductionmentioning

confidence: 99%

Model for the spin-dependent Seebeck coefficient of InSb in a magnetic field

Pike

Stroud

2014

Phys. Rev. B

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We develop a simple theory for the longitudinal spin Seebeck effect in n-doped InSb in an external magnetic field. We consider spin-1/2 electrons in the conduction band of InSb with a temperature gradient parallel to the applied magnetic field. In the absence of spin-orbit interactions, a Boltzmann equation approach leads to a spin current parallel to the field and proportional to the temperature gradient. The calculated longitudinal spin Seebeck coefficients oscillates as a function of magnetic field B; the peak positions are approximately periodic in 1/B. The oscillations arise when the Fermi energy crosses the bottom of a Landau band. PACS numbers: 71.70.Dj, 71.70.Ej, 72.20.Pa   (1)Instead of the currents J + and J − , it may be more convenient to consider the charge current density J e = J + + J − and the spin current density J S = (h/2q)(J + − J − ) (where q = −e is the charge of the current carriers

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Section: Introductionmentioning

confidence: 99%

Model for the spin-dependent Seebeck coefficient of InSb in a magnetic field

Pike

Stroud

2014

Phys. Rev. B

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“…1]. The experiments broadly employed to observe plasmon dispersion in quantum wires include the far-infrared (FIR) spectroscopy [29][30][31][32][33][34][35], photoluminescence (PL) spectroscopy [36][37][38][39], and Raman scattering (RS) spectroscopy [40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Inelastic electron and Raman scattering from the collective excitations in quantum wires: Zero magnetic field

Kushwaha

2013

AIP Advances

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The nanofabrication technology has taught us that an m-dimensional confining potential imposed upon an n-dimensional electron gas paves the way to a quasi-(n-m)-dimensional electron gas, with m ⩽ n and 1 ⩽ n, m ⩽ 3. This is the road to the (semiconducting) quasi-n dimensional electron gas systems we have been happily traversing on now for almost two decades. Achieving quasi-one dimensional electron gas (Q-1DEG) [or quantum wire(s) for more practical purposes] led us to some mixed moments in this journey: while the reduced phase space for the scattering led us believe in the route to the faster electron devices, the proximity to the 1D systems left us in the dilemma of describing it as a Fermi liquid or as a Luttinger liquid. No one had ever suspected the potential of the former, but it took quite a while for some to convince the others on the latter. A realistic Q-1DEG system at the low temperatures is best describable as a Fermi liquid rather than as a Luttinger liquid. In the language of condensed matter physics, a critical scrutiny of Q-1DEG systems has provided us with a host of exotic (electronic, optical, and transport) phenomena unseen in their higher- or lower-dimensional counterparts. This has motivated us to undertake a systematic investigation of the inelastic electron scattering (IES) and the inelastic light scattering (ILS) from the elementary electronic excitations in quantum wires. We begin with the Kubo's correlation functions to derive the generalized dielectric function, the inverse dielectric function, and the Dyson equation for the dynamic screened potential in the framework of Bohm-Pines’ random-phase approximation. These fundamental tools then lead us to develop methodically the theory of IES and ILS for the Q-1DEG systems. As an application of the general formal results, which know no bounds regarding the subband occupancy, we compute the density of states, the Fermi energy, the full excitation spectrum [comprised of intrasubband and intersubband single-particle as well as collective excitations], the loss functions for the IES and the Raman intensity for the ILS. We observe that it is the collective (plasmon) excitations that largely contribute to the predominant peaks in the energy-loss and the Raman spectra. The inductive reasoning is that the IES can be a potential alternative of the overused ILS for investigating collective excitations in quantum wires. We trust that this research work shall be useful to all – from novice to expert and from theorist to experimentalist – who believe in the power of traditional science

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“…On the experimental point of view, electrical transport measurements have revealed quasi-1D effects in single wire systems as well as in wire arrays. [15][16][17][18][19][20][21][22][23][24][25][26] Transport measurements also revealed new physical phenomena such as Weiss oscillations [27][28][29][30][31][32][33][34] and electron focusing, 35 which are other useful probes of the electron gas properties. Another way to probe the electron gas is through optical measurements.…”

Section: Introductionmentioning

confidence: 99%

Electrical transport and far-infrared transmission in a quantum wire array

Lefebvre

Beerens

Feng

et al. 1998

Journal of Vacuum Science &Amp; Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena

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A wide set of data obtained on a two-dimensional electron gas submitted to a tunable lateral modulation, induced using a split-gate technique, is presented. Owing to a unique design of the sample, it has been possible to combine in a single experimental run, far-infrared transmission measurements and electrical transport measurements in both directions parallel and perpendicular to the lateral modulation. The discussion of the results emphasizes the correspondence between various features observed in both types of measurements. Based on these features, three regimes of modulation are clearly identified, namely the weak, intermediate and strong modulation regimes. Far-infrared transmission data show that each of these regimes is characterized by plasmon modes with a distinctive behavior. These behaviors are analyzed further with the use of transport data, which allow to determine the electron concentration in the structure for every condition of gate voltage. In the weak modulation regime, a quantitative analysis shows that the collective mode energy is consistent with that of a classical 2D plasmon at q=2π/a (where a is the period of the split gate), using the average electron concentration under the gate as the relevant parameter. In the intermediate regime, the collective modes are confined plasmons. The observation of “confined Bernstein modes” indicates that the bare confinement potential is nonparabolic in this regime. In the strong modulation regime, the observation of a far-infrared resonance energy which does not depend on the modulation amplitude, while the effective 2D electron concentration (within each wire) varies with gate voltage, shows that the collective mode is a Kohn mode.

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Subband spacings of quasi-one-dimensional inversion channels on InSb

Cited by 80 publications

References 11 publications

Model for the spin-dependent Seebeck coefficient of InSb in a magnetic field

Model for the spin-dependent Seebeck coefficient of InSb in a magnetic field

Inelastic electron and Raman scattering from the collective excitations in quantum wires: Zero magnetic field

Electrical transport and far-infrared transmission in a quantum wire array

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