Interaction-induced magnetoresistance in a two-dimensional electron gas

Gornyi, I. V.; Mirlin, A. D.

doi:10.1103/physrevb.69.045313

Cited by 98 publications

(116 citation statements)

References 64 publications

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“…The same set of diagrams has been encountered in the analysis of various two-particle correlation functions in the case of an RPA-type interaction. [31][32][33][34] Although the Aslamazov-Larkin (AL) diagrams d and e contain two wavy lines, they are of the same order in the bare coupling constant of the theory (the electron charge in our case), as diagrams a-c. However, the contribution of the AL diagrams to damping vanishes within the approximations made in this work.…”

Section: Fig 1: Leftmentioning

confidence: 99%

Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling

Maiti

Maslov

2015

Phys. Rev. Lett.

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A Fermi liquid with spin-orbit coupling (SOC) is expected to support a new kind of collective modes: oscillations of magnetization in the absence of the magnetic field. We show that these modes are damped by the electron-electron interaction even in the limit of an infinitely long wavelength (q = 0). The linewidth of the collective mode is on the order of ∆2 /EF , where ∆ is a characteristic spin-orbit energy splitting and EF is the Fermi energy. Such damping is in a stark contrast to known damping mechanisms of both charge and spin collective modes in the absence of SOC, all of which disappear at q = 0, and arises because none of the components of total spin is conserved in the presence of SOC.

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Section: Fig 1: Leftmentioning

confidence: 99%

Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling

Maiti

Maslov

2015

Phys. Rev. Lett.

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“…A straightforward calculation, relegated to Appendix A, enables us to rewrite Eq. (2.17) as 18) ... 00 00 00 11 11 11 00 00 00 00 11 11 11 11 00 00 00 00 11 11 11 11 00 00 00 00 11 11 11 11 000 000 000 000 111 111 111 111 000 000 000 000 111 111 111 111…”

Section: Degrees Of Freedom For the Kinetics Of Disordered Fermi Lmentioning

confidence: 99%

Interaction corrections to thermal transport coefficients in disordered metals: The quantum kinetic equation approach

Catelani

Aleǐner

2005

J. Exp. Theor. Phys.

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We consider the singular electron-electron interaction corrections to the transport coefficients in disordered metals to test the validity of the Wiedemann-Franz law. We develop a local, quantum kinetic equation approach in which the charge and energy conservation laws are explicitly obeyed. To obtain the local description, we introduce bosonic distribution functions for the neutral, lowenergy collective modes (electron-hole pairs). The resulting system of kinetic equations enables us to distinguish between the different physical processes involved in the charge and energy transport: elastic electron scattering affects both, while the inelastic processes influence only the latter. Moreover, the neutral bosons, though incapable of transporting charge, contribute significantly to the energy transport. In our approach we calculate on equal footing the electrical and thermal conductivities and the specific heat in any dimension. We found that the Wiedemann-Franz law is always violated by the interaction corrections; the violation is larger for one-and two-dimensional systems in the diffusive regime T τ ≪h and it is due to the energy transported by the neutral bosons. For two-dimensional systems in the quasi-ballistic regime T τ ≫h the inelastic scattering of the electron on the bosons also contributes to the violation.

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“…17,19 The electron interaction induced correction to the conductivity considering the influence of the ballistic transport is then expressed by…”

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Magnetoresistance in a high-mobility two-dimensional electron gas

et al. 2011

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In a high-mobility two-dimensional electron gas (2DEG) in a GaAs/Al 0.3 Ga 0.7 As quantum well we observe a strong magnetoresistance. In lowering the electron density, the magnetoresistance gets more pronounced and reaches values of more than 300%. We observe that the huge magnetoresistance vanishes when increasing the temperature. An additional density-dependent factor is introduced to be able to fit the parabolic magnetoresistance to the electron-electron interaction correction. Since the first observation of the fractional quantum Hall effect (FQHE) 1,2 the quality and the mobility of the two-dimensional electron gas (2DEG) increased by more than two orders of magnitude. The increased mobility has allowed not only the observation of the FQHE at many different filling factors and smaller magnetic fields but also many new effects. So, microwave-induced oscillations were observed, which were up to now not fully understood. [3][4][5] In weak magnetic fields the increased mobility enabled also the observation of phonon-induced resistance oscillations, which are caused by inelastic scattering between electrons and three-dimensional acoustic phonons. 6,7 The period of phonon-induced oscillations is tunable by an additional dc electric field. 8,9 Also a new type of QHE was enabled in high mobility 2DEGs, the re-entrant integer quantum Hall effect (RIQHE). 10,11 In the regime of the RIQHE the longitudinal resistance between integer filling factors decreases to zero suggesting fractional filling factors, but the corresponding Hall plateaus are quantized at integer values.Here we will present the observation of a huge magnetoresistance in a high mobility 2DEG which depends strongly on electron density and temperature.Our samples were cleaved from a wafer of a high-mobility GaAs/Al 0.3 Ga 0.7 As quantum well grown by molecular-beam epitaxy. The quantum well has a width of 30 nm and is Si-doped from both sides. The 2DEG is located 150 nm beneath the surface and has an electron density of n e ≈ 3.1 × 10 11 cm −2 and a mobility of μ ≈ 11.9 × 10 6 cm 2 /Vs in the dark. The specimens are Hall bars with a total length of 1.2 μm, a width of w = 200 μm and a potential probe spacing of l = 275 μm [see Fig. 1(a)]. The Hall bars were defined by photolithography and wet etching. Different ungated and gated samples were used for the magnetotransport measurements. In the case of the gated sample there is an additional layer of 600 nm PMMA between the Hall bar and the metallic top-gate to avoid leakage current. We apply top-gate voltages up to −6 V to manipulate the electron density. Our measurements were performed in a dilution refrigerator with a base temperature of 20 mK. The measurements were carried out by using low-frequency (13 Hz) lock-in technique.Figure 1(a) shows the longitudinal resistance R xx and the Hall resistance R xy vs. magnetic field B to demonstrate the quality of our samples. A series of different fractional quantum Hall states appears for filling factor ν < 2. We observe also the filling factor ν = 5/2. Over the ...

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Interaction-induced magnetoresistance in a two-dimensional electron gas

Cited by 98 publications

References 64 publications

Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling

Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling

Interaction corrections to thermal transport coefficients in disordered metals: The quantum kinetic equation approach

Magnetoresistance in a high-mobility two-dimensional electron gas

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