Theory of potential modulation in lateral surface superlattices. II.  Piezoelectric effect

Larkin, I. A.; Davies, John H.; Long, A. R.; Cuscó, R.

doi:10.1103/physrevb.56.15242

Cited by 46 publications

(58 citation statements)

References 22 publications

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“…We find φ = +0.18, a value close to 1/4, the theoretical phase for pure electrostatic oscillations [18]. We therefore conclude that piezoelectric modulation dominates [15]. This is likely to have occurred from the prolonged exposure of dysprosium to air [19].…”

Section: Methodsmentioning

confidence: 78%

“…This is the reason why the calculated curves show a maximum rather than a minimum at B = 0 in figure 4. A more accurate description of the experiment could be obtained by including in the model the real piezoelectric potential which is usually more complex than a sine function [15]. Secondly, a more accurate description of the anisotropy would require computing the effect of higher angular harmonics with two-fold symmetry, not just the a 2 and b 2 components.…”

Section: Theory and Discussionmentioning

confidence: 99%

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Phonon-drag thermopower of lateral superlattices: the role of anisotropic scattering

Uzur

Nogaret

Pogosov

et al. 2003

J. Phys.: Condens. Matter

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We have measured the phonon-drag thermopower of a periodically modulated two-dimensional electron gas, and report on a complex series of oscillations developing in the presence of a perpendicular magnetic field. At low electron density these oscillations are in phase with the commensurability resistance oscillations, however they become increasingly antisymmetrical with respect to B at higher electron density. We are able to explain this magnetic field dependence by proposing that the periodic potential lowers the symmetry of electron-phonon interaction. We calculate the thermopower by solving the Boltzmann equation given an electron-phonon scattering term with two-fold symmetry. Our fit of the experimental curves shows that the Brillouin zone folding enhances the electron-phonon scattering rate by a factor of two along the periodic potential and that a small misalignment (6 • ) of the heat gradient with the direction of the periodic potential is sufficient to explain the antisymmetrical oscillations. Our experiment demonstrates phonon drag as a very sensitive tool to probe the electronic and vibronic anisotropy in mesoscopic systems.

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Section: Methodsmentioning

confidence: 78%

Section: Theory and Discussionmentioning

confidence: 99%

Phonon-drag thermopower of lateral superlattices: the role of anisotropic scattering

Uzur

Nogaret

Pogosov

et al. 2003

J. Phys.: Condens. Matter

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“…The agreement between the experiment and the calculated effect of the deformation potential is an important result, since it is known that strong piezoelectric contributions are present in strained GaAs structures and can even become dominant over contributions of the deformation potential. 13 We cannot completely rule out that in the present structure both contributions coincidentally have a similar shape and are therefore not distinguishable. Evidence of other experiments 3 together with our present findings, however, indicate that the shape of the effective potential follows that of the deformation potential rather than that of the piezoelectric contribution.…”

Section: ͓S0003-6951͑98͒03034-4͔mentioning

confidence: 86%

Highly anharmonic potential modulation in lateral superlattices fabricated using epitaxial InGaAs stressors

Luyken

Lorke

Song

et al. 1998

Applied Physics Letters

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A coherently strained stressor structure is used to create a one-dimensional periodic potential in the two-dimensional electron gas at a AlGaAs/GaAs heterointerface. We demonstrate that from magnetotransport the Fourier coefficients of the conduction band modulation can be determined. In contrast to conventional electrostatic patterning, “hard” potential modulation with dominant contributions of higher harmonics is achieved. In the regime of narrow stressor-stressor distance, the strain-induced potential modulation can be calculated analytically from elasticity theory. The calculated magnetoresistance which can be derived from the stressor-induced potential is in good agreement with the experimental data.

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“…The piezoelectric and deformation potential energies were calculated assuming constant stress within the stressor [8]. This gives fundamental Fourier components of 1.0 and 0.1 meV, respectively, confirming that the deformation potential can be neglected.…”

Section: Theory and Discussionmentioning

confidence: 99%

Giant commensurability oscillations in a stressed surface superlattice

Emeleus

Milton

Long

et al. 1999

Superlattices and Microstructures

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Theory of potential modulation in lateral surface superlattices. II. Piezoelectric effect

Cited by 46 publications

References 22 publications

Phonon-drag thermopower of lateral superlattices: the role of anisotropic scattering

Phonon-drag thermopower of lateral superlattices: the role of anisotropic scattering

Highly anharmonic potential modulation in lateral superlattices fabricated using epitaxial InGaAs stressors

Giant commensurability oscillations in a stressed surface superlattice

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