The Bloch - Grüneisen regime in a one-dimensional electron gas

Karpus, V.; Lehmann, D.

doi:10.1088/0268-1242/12/7/005

Cited by 10 publications

(14 citation statements)

References 17 publications

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“…The relation Eq (5). has been used to scrutinize the details of the electron-phonon interaction embodied in the term P e-ph (T e , T L ),25,26 by examining the relation between the known amount of P ab (introduced to the sample by the Joule heating) and the T e measured with various methods of thermometry, including the self resistance, 27-31 the amplitude of the SdHO, 32-34 thermopower of the ballistic constriction,35,36 and the slope of the Hall resistance between two adjacent quantum Hall states 34. (Color online) Power absorbed by 2DEG per area P ab vs electron temperature Te estimated from the SdHO amplitude, plotted in the log-log scale.…”

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confidence: 99%

Commensurability Oscillations in the Radio-Frequency Conductivity of Unidirectional Lateral Superlattices: Measurement of Anisotropic Conductivity by Coplanar Waveguide

2013

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We have measured the rf magnetoconductivity of unidirectional lateral superlattices (ULSLs) by detecting the attenuation of microwave through a coplanar waveguide placed on the surface. ULSL samples with the principal axis of the modulation perpendicular (S ⊥ ) and parallel (S ) to the microwave electric field are examined. For low microwave power, we observe expected anisotropic behavior of the commensurability oscillations (CO), with CO in samples S ⊥ and S dominated by the diffusion and the collisional contributions, respectively. Amplitude modulation of the Shubnikov-de Haas oscillations is observed to be more prominent in sample S . The difference between the two samples is washed out with the increase of the microwave power, letting the diffusion contribution govern the CO in both samples. The failure of the intended directional selectivity in the conductivity measured with high microwave power is interpreted in terms of large-angle electron-phonon scattering.

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confidence: 99%

Commensurability Oscillations in the Radio-Frequency Conductivity of Unidirectional Lateral Superlattices: Measurement of Anisotropic Conductivity by Coplanar Waveguide

2013

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“…(23)(24)(25) and Eqs. (28)(29)(30) it is revealed that phonon limited resistivity and phonon-drag thermopower in the BG regime depends on temperature in a power law fashion i.e. we have ρ or S g ∼ T νT .…”

Section: Resultsmentioning

confidence: 97%

“…(23)- (25) and Eqs. (28)- (30). However, in the B → 0 limit, total quantities can be obtained easily.…”

Section: Approximate Analytical Results In Bg Regimementioning

confidence: 99%

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Electron–phonon interaction in a spin–orbit coupled quantum wire with a gap

Biswas¹,

Ghosh²

2014

Semicond. Sci. Technol.

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Interaction between electron and acoustic phonon in an in-plane magnetic field induced gapped quantum wire with Rashba spin-orbit interaction is studied. We calculate acoustic phonon limited resistivity (ρ) and phonon-drag thermopower (Sg) due to two well known mechanisms of electronphonon interaction namely, deformation potential (DP) and piezoelectric (PE) scattering. In the so called Bloch-Gruneisen temperature limit both ρ and Sg depend on temperature (T ) in a power law fashion i.e. ρ or Sg ∼ T ν T . For resistivity, νT takes the value 5 and 3 due to DP and PE scattering respectively. On the other hand, νT is 4 and 2 due to DP and PE scattering, respectively for phonondrag thermopower. Additionally, we find numerically that νT depends on Rashba parameter (α) and electron density (n). The dependence of νT on α becomes more prominent at lower density. We also study the variations of ρ and Sg with carrier density in the Bloch-Gruneisen regime. Through a numerical analysis a similar power law dependence ρ or Sg ∼ n −νn is established in which the effective exponent νn undergoes a smooth transition from a low density behavior to a high density behavior. At a higher density regime, νn matches excellently with the value obtained from theoretical arguments. Approximate analytical expressions for both resistivity and phonon-drag thermopower in the Bloch-Gruneisen regime are given.

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“…However, Mickevicius and Mitin [12] have studied low-field mobility in rectangular GaAs NWs, considering the inelasticity of the scattering by acoustic phonons via only deformation potential (DP) coupling. Karpus and Lehman [13], assuming parabolic confinement along one transverse direction and Fang-Howard confinement along the other direction, have investigated the electronphonon interaction in one dimensional (1D) electron gas in the Bloch-Gruneisen regime considering the inelasticity of the interaction. Recently, Bhattacharya et al [14] employing Ridley's [15] momentum conservation approximation, and using analytic expressions for the DP coupled acoustic phonon limited scattering rates have investigated the lattice-controlled electron mobility in GaAs/GaAlAs NWs.…”

Section: Introductionmentioning

confidence: 99%