Frictional drag mediated by acoustic phonons

Bønsager, Martin C.; Flensberg, Karsten; Hu, Ben Yu‐Kuang; MacDonald, Allan H.

doi:10.1016/s0921-4526(98)00332-9

Cited by 4 publications

(15 citation statements)

References 8 publications

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“…The theoretical framework we use to describe frictional drag is based on earlier Bϭ0 work involving two of us. 21 While there are some issues in the theoretical literature 22-24 on frictional drag, which are not completely settled, these do not impact on the conclusions we draw here and we do not discuss them further. In Sec.…”

Section: Introductionmentioning

confidence: 84%

“…[32][33][34][35] Under conditions that are met in current experiments, the transresistivity is given by 21 …”

Section: Frictional Dragmentioning

confidence: 92%

“…To counter balance the stochastic drag force between the layers, an electric field E 2 will build up in the second layer. The transresistivity 21 , is defined as 21 ϵE 2 /J 1 , ͑1͒ 21 depends on the strength of interlayer interactions and on the phase space available for interlayer scattering events.…”

Section: Frictional Dragmentioning

confidence: 99%

“…The integrand in Eq. ͑2͒ is cut off exponentially with at បϳk B T. The full phonon resonance is thus exploited when TϭT peak ϳបc 2k F /k B , and a further increase in the temperature will only lead to a relatively smaller increase in 21 .…”

Section: A Frictional Drag At Bä0mentioning

confidence: 99%

“…Corrections to the RPA polarization function at large wave vector 21 may also play a role. Moreover, the magnitude of 21 depends on the phonon mean-free-path l ph which appears FIG. 1.…”

Section: A Frictional Drag At Bä0mentioning

confidence: 99%

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Phonon-mediated drag at ν=1/2: A test of the Chern-Simons composite-fermion theory

2000

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We report on a study of the phonon-mediated frictional drag between two-dimensional electron layers at the Landau-level filling factor ϭ1/2 predicted by Chern-Simons composite-fermion theory. Frictional drag between widely spaced layers is dominated by the phonon-mediated interaction and is altered from its zero-field form because of the large composite-fermion effective mass and, less strongly, by magnetic local-field effects. We find that the reduced drag resistance (T)/T 2 peaks at a larger temperature and has a different density dependence than at zero field. We compare these results with recent experimental findings.

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Section: Introductionmentioning

confidence: 84%

“…[32][33][34][35] Under conditions that are met in current experiments, the transresistivity is given by 21 …”

Section: Frictional Dragmentioning

confidence: 92%

Section: Frictional Dragmentioning

confidence: 99%

Section: A Frictional Drag At Bä0mentioning

confidence: 99%

“…Corrections to the RPA polarization function at large wave vector 21 may also play a role. Moreover, the magnitude of 21 depends on the phonon mean-free-path l ph which appears FIG. 1.…”

Section: A Frictional Drag At Bä0mentioning

confidence: 99%

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Phonon-mediated drag at ν=1/2: A test of the Chern-Simons composite-fermion theory

2000

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Optical-phonon-induced frictional drag in coupled two-dimensional electron gases

1998

Phys. Rev. B

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The role of optical phonons in frictional drag between two adjacent but electrically isolated two-dimensional electron gases is investigated. Since the optical phonons in III-V materials have a considerably larger coupling to electrons than acoustic phonons ͑which are the dominant drag mechanism at low T and large separations͒, it might be expected that the optical phonons will contribute a large effect at high temperatures. The two key differences between optical-and acoustic-phonon-mediated drag are ͑i͒ the optical-phonon-mediated interlayer interaction is short-ranged due to the negligible group velocity at the Brillouin zone center, and ͑ii͒ the typical momentum transfer for an optical-phonon-mediated scattering is relatively large. These considerations make optical-phonon-mediated drag difficult to see in single-subband GaAs systems, but it may be possible to see the effect in double-subband GaAs systems or single-subband quantum wells in a material with a lower effective mass and lower optical-phonon energy, such as InSb. ͓S0163-1829͑98͒05219-9͔

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Coulomb Drag in the Extreme Quantum Limit

Lilly

Eisenstein

Pfeiffer³

et al. 1998

Phys. Rev. Lett.

131

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Coulomb drag resulting from interlayer electron-electron scattering in double layer 2D electron systems in a high magnetic field has been measured. Within the lowest Landau level the observed drag resistance exceeds its zero magnetic value by factors of typically 1000. At half-filling of the lowest Landau level in each layer (n 1͞2) the data suggest that our bilayer systems are much more strongly correlated than recent theoretical models based on perturbatively coupled composite fermion metals.[ S0031-9007(98) PACS numbers: 73.40. Hm, 72.15.Qm, 73.20.Dx Double layer two-dimensional electron systems (2DES) have been the subject of intense recent interest, especially at high magnetic fields, owing to the diversity of manybody phenomena they exhibit which are not found in ordinary single layer systems. These new phenomena arise from the interplay of the intralayer and interlayer Coulomb interactions and the tunneling amplitude in the system. A particularly interesting case arises when the individual 2D layers are at Landau level filling fraction n 1͞2. If the separation between the layers is large, the system behaves as two independent 2DES's, each of which is widely believed to be a Fermi liquidlike state of Chern-Simons composite particles. On the other hand, when the layers are close together, they behave as a single system and exhibit a ferromagnetic quantized Hall state at total Landau filling factor n tot 1͞2 1 1͞2 1. The nature of this remarkable transition from two gapless Fermi liquids to a single gapped quantum Hall phase is not well understood and remains a frontier topic in the field [1].The strength of the Coulomb interaction between electrons in opposite layers is obviously a key ingredient of the physics. Recently a technique has been developed which provides a simple way to directly obtain the interlayer electronic momentum relaxation rate and thereby assess the strength of these critical interactions. In this technique the frictional drag between the two 2DES's is measured by observing the voltage which develops in one layer when a current is driven through the other. This voltage, which exists even though the two layers are electrically isolated, is directly proportional to the interlayer momentum relaxation rate arising from the scattering of electrons in one layer off those in the other. At zero magnetic field drag studies have yielded a quantitative measure of the Coulomb scattering rate between electrons in the two layers [2], provided evidence for momentum relaxation due to the exchange of phonons [3], and revealed the predicted plasmon enhancement of the drag [4][5][6][7]. Recent drag experiments performed in magnetic fields large enough to induce the integer quantized Hall effect have given evidence for the oscillatory screening effects expected from Landau quantization [8,9].In this paper we report the first Coulomb drag results from the extreme quantum limit, focusing especially on the situation where in each 2D layer the lowest Landau level is half-filled. Our measurements show that ...

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Frictional drag mediated by acoustic phonons

Cited by 4 publications

References 8 publications

Phonon-mediated drag at ν=1/2: A test of the Chern-Simons composite-fermion theory

Phonon-mediated drag at ν=1/2: A test of the Chern-Simons composite-fermion theory

Optical-phonon-induced frictional drag in coupled two-dimensional electron gases

Coulomb Drag in the Extreme Quantum Limit

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