Chapter 4 The Magnetophonon Effect

Peterson, Robert L.

doi:10.1016/s0080-8784(08)60334-8

Cited by 21 publications

(2 citation statements)

References 77 publications

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“…In 1961, theoretical work by Gurevich and Firsov predicted that inelastic scattering of electrons by phonons can induce oscillations in the magnetoresistance of semiconductors 1 . Magnetophonon resonance (MPR) has since been used to probe spectroscopically electron-phonon interactions in a wide range of bulk semiconductors [2][3][4][5] and semiconductor heterostructures in which carriers are confined in two-dimensions (2D) by a quantum well potential [6][7][8][9][10] .…”

Section: Introductionmentioning

confidence: 99%

Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

et al. 2019

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Recently observed magnetophonon resonances in the magnetoresistance of graphene are investigated using the Kubo formalism. This analysis provides a quantitative fit to the experimental data over a wide range of carrier densities. It demonstrates the predominance of carrier scattering by low energy transverse acoustic (TA) mode phonons: the magnetophonon resonance amplitude is significantly stronger for the TA modes than for the longitudinal acoustic (LA) modes. We demonstrate that the LA and TA phonon speeds and the electron-phonon coupling strengths determined from the magnetophonon resonance measurements also provide an excellent fit to the measured dependence of the resistivity at zero magnetic field over a temperature range of 4-150 K. A semiclassical description of magnetophonon resonance in graphene is shown to provide a simple physical explanation for the dependence of the magneto-oscillation period on carrier density. The correspondence between the quantum calculation and the semiclassical model is discussed.

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Section: Introductionmentioning

confidence: 99%

Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

et al. 2019

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“…I n 1961, Gurevich and Firsov [3] predicted that when the electron scattering mechanism is inelastic, as in the case of optical phonons, there will be resonant interaction with the quantized electron orbital motion in a magnet,ic field. Experimental observations of such magnetophonon resonance phenomena have since been reported for various semiconductor materials, and the theory has been refined over the years [4,5]. It is well known that in the transverse configuration with Landau quantization there is no possible description of transport in terms of a Boltzmann equation for a classical phase space distribution function.…”

Section: Introductionmentioning

confidence: 99%

Hot Electron Magnetophonon Resonances in Conduction and Noise for a Nondegenerate Semiconductor

Cui

Lei

Horing

1988

Physica Status Solidi (b)

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The nonlinear transverse magnetoresistivity of conduction electrons subject to inelastic scatterings by longitudinal optical phonons in a non-degenerate semiconductor is determined using a balance equation approach. Magnetophonon resonances are examined in both, the linear and nonlinear transverse magnetoresistivities; and the electron temperature in an intense electric field is calculated as a function of the magnetic field, showing significant electron resonant cooling. The nonlinear current saturation in a high electric field is also studied, and is shown to be independent of the magnetic field. The thermal noise temperature for hot electrons a t a nonzero bias is also examined, and exhibit its oscillatory behavior as a function of magnetic field.Der nicht-lineare Widerstand der Leitungselektronen im transversalen Magnetfeld bei nichtelastischer Streuung an optischen Schallquanten in einem nicht-degenerierten Halbleiter wird unter Anwendung einer Bilanzgleichnng berechnet. ,,Magnetophonon-Resonanzen" im linearen und im nicht-linearen Bereich des Widerstandes im transversalen Magnetfeld werden untersucht, und die Temperatur der Elektronen in einem starken elektrischen Feld wird als Funktion des Magnetfeldes berechnet, wobei eine erhebliche Abkiihlung der Elektronen an den Resonanzstellen gefunden wird. Die nicht-lineare Siittigung des Stromes in einem starken elektrischen Feld wird auch untersucht, und es wird gezeigt, dab sie von der Stirke des Magnetfeldes unabhiingig ist. Auch die dem thermischen Rauschpegel entsprechende Temperatur der heil3en Elektronen wird untersucht, und es wird ihr wechselndes Verhalten in Abhiingigkeit vom Magnetfeld gezeigt.

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Effect of Inelasticity on Magnetoresistance

Arora

1976

Physica Status Solidi (b)

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There has been a considerable amount of work to study the magnetotransport properties in the quantum domain (1). Although consistent in their results, earlier studies had the unpleasant drawback of divergence difficulty. To offset this divergence, various cutoff mechanisms have been suggested (2). One of the cutoff mechanisms which was considered to be important, among others, is the inelasticity of

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Chapter 4 The Magnetophonon Effect

Cited by 21 publications

References 77 publications

Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

Hot Electron Magnetophonon Resonances in Conduction and Noise for a Nondegenerate Semiconductor

Effect of Inelasticity on Magnetoresistance

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