Electron-phonon scattering at the intersection of two Landau levels

Golovach, Vitaly N.; Portnoi, M. E.

doi:10.1103/physrevb.74.085321

Cited by 71 publications

(118 citation statements)

References 26 publications

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“…The scope of the present paper is restricted to the single-particle spin-orbit phenomena. The electron-phonon interactions, which are known to modify the quasi-particle spectra near the crossing of Landau levels belonging to a different size-quantization subbands, and used to probe many-body gaps in electron magnetic spectra 38,39 , are also beyong the scope of the present work. The paper is organized as follows: the Luttinger Hamiltonian and its general solution in a magnetic field perpendicular to the plane of the 2D hole gas are introduced in Section II, the semiclassical approximation is described in Section III, semiclassical spectra and numerically calculated spectra are presented in Section IV.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field spectral crossings of Luttinger holes in quantum wells

Simion

Lyanda-Geller

2014

Phys. Rev. B

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We develop an analytic approach to two-dimensional (2D) holes in a magnetic field that allows us to gain insight into physics of measuring the parameters of holes, such as cyclotron resonance, Shubnikov-De Haas effect and spin resonance. We derive hole energies, cyclotron masses and the g-factors in the semiclassical regime analytically, as well as analyze numerical results outside the semiclassical range of parameters, qualitatively explaining experimentally observed magnetic field dependence of the cyclotron mass. In the semiclassical regime with large Landau level indices, and for size quantization energy much bigger than the cyclotron energy, the cyclotron mass coinsides with the in-plane effective mass, calculated in the absence of a magnetic field.The hole g-factor in a magnetic field perpendicular to the 2D plane is defined not only by the constant of direct coupling of the angular momentum of the holes to the magnetic field, but also by the Luttinger constants defining the effective masses of holes. We find that the g-factor for quasi 2D holes with heavy mass in the [001] growth direction in GaAs quantum well is g = 4.05 in the semiclasssical regime. Outside the semiclassical range of parameters, holes behave as a species completely different from electrons. Spectra for size-and magnetic-field-quantized holes are non-equidistant, not fan-like, and exhibit multiple crossings, including crossing in the ground level. We calculate the effect of Dresselhaus terms, which transform some of the crossings into anticrossings, and the effects of the anisotropy of the Luttinger Hamiltonian on the 2D hole spectra. Dresselhaus terms of different symmetries are taken into account, and a regularization procedure is developed for the k 3 z Dresselhaus terms. Control of the non-equidistant levels and crossing structure by the magnetic field can be used to control Landau level mixing in hole systems, and thereby control hole-hole interactions in the magnetic field.

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Section: Introductionmentioning

confidence: 99%

Magnetic field spectral crossings of Luttinger holes in quantum wells

Simion

Lyanda-Geller

2014

Phys. Rev. B

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“…4, on the experimental curves the best scaling is in the paracoherent area at T < T c . At higher temperatures, the spread of the curves becomes significant, apparently, due to the influence of the pinning of the superconducting fluctuations in the phase inclusions, as well as with the possible increase of the role of some specific mechanisms of the quasi-particle interaction [30][31][32][33][34].…”

Section: Resultsmentioning

confidence: 99%

Effect of Hafnium Impurities on the Magnetoresistance of $$\hbox {YBa}_{2}\hbox {Cu}_{3}\hbox {O}_{7-\delta }$$ YBa 2 Cu 3 O 7 - δ

et al. 2016

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In the present study, we investigate the influence of the hafnium (Hf) impurities on the magnetoresistance of YBa 2 Cu 3 O 7−δ ceramic samples in the temperature interval of the transition to the superconducting state in constant magnetic field up to 12 T. The cause of the appearance of low-temperature "tails" (paracoherent transitions) on the resistive transitions, corresponding to different phase regimes of the vortex matter state is discussed. At temperatures higher than the critical temperature (T > T c ), the temperature dependence of the excess paraconductivity can be described within the Aslamazov-Larkin theoretical model of the fluctuation conductivity for layered superconductors.

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“…In the field of spin qubits, one of us [2] suggested the electrical control of localized spins by means of the electric-dipole spin resonance, and this scheme has been successfully used for spin rotations of electrons in quantum dots (QDs) [3,4]. Already much earlier, Datta and Das [5] proposed a semiconductor transistor that would operate through a gatecontrolled spin precession, mediated by the SOI.…”

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confidence: 99%