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We develop a unified treatment of the piesoelectric coupling between two-dimensional electrons and bulk phonons in both cases of zero and strong magnetic fields, the latter corresponding to even denominator filling fractions. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. V. Khveshchenko , Michael Reizer

The relaxation of electrons in quantum dots via phonon emission is hindered by the discrete nature of the dot levels (phonon bottleneck). In order to clarify the issue theoretically we consider a system of $N$ discrete fermionic states (dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Stauber , R. Zimmermann , H. Castella

The paper reports on a study of electron-phonon interaction within a limited nanosized region. We invoked the modified Fr\"{o}hlich's Hamiltonian to calculate the electron self-energy, as well as the elastic and inelastic scattering cross…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 K. V. Reich

In this paper we study the low temperature kinetics of the electrons in the system composed of a quantum dot connected to two leads by solving the equation of motion. The decoherence and the relaxation of the system caused by the gate…

Strongly Correlated Electrons · Physics 2009-11-13 M. Q. Weng

We theoretically study energy relaxation via LO-phonon emission in an excited one-dimensional electron gas confined in a GaAs quantum wire structure. We find that the inclusion of phonon renormalization effects in the theory extends the…

Condensed Matter · Physics 2009-10-28 Lian Zheng , S. Das Sarma

The electron scattering with longitudinal polar optical phonons in a quantizing magnetic field tilted to the plane of quantum well layers is studied. The scattering rate's behavior at variation of the magnetic field magnitude and…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 M. P. Telenkov , Yu. A. Mityagin , D. S. Korchagin

We predict a double-resonant feature in the magnetic field dependence of the phonon-mediated longitudinal conductivity $\sigma_{xx}$ of a two-subband quasi-two-dimensional electron system in a quantizing magnetic field. The two sharp peaks…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. N. Golovach , M. E. Portnoi

We present numerical results for electron spin relaxation rates for single and laterally coupled double GaAs quantum dots in a perpendicular magnetic field. As source of spin relaxation we consider hyperfine interaction with the nuclear…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 Johannes Voss , Daniela Pfannkuche

A formula for the electron spin relaxation rate of an electron-phonon system is derived using a new spring-loop diagram method. The result contains the distribution functions for the electrons and phonons properly. Therefore, all the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Nam Lyong Kang , Sang Don Choi

We investigate full quantum mechanical evolution of two electrons nonlinearly coupled to quantum phonons and simulate the dynamical response of the system subject to a short spatially uniform optical pulse that couples to dipole-active…

Statistical Mechanics · Physics 2025-03-06 K. Kovač , D. Golež , M. Mierzejewski , J. Bonča

We study theoretically the relaxation of hot quantum-Hall edge-channel electrons under the emission of both acoustic and optical phonons. Aiming to model recent experiments with single-electron sources, we describe simulations that provide…

Mesoscale and Nanoscale Physics · Physics 2019-02-14 Clive Emary , Lewis A. Clark , Masaya Kataoka , Nathan Johnson

We investigate the inelastic spin-flip rate for electrons in a quantum dot due to their contact hyperfine interaction with lattice nuclei. In contrast to other works, we obtain a spin-phonon coupling term from this interaction by taking…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Veniamin A. Abalmassov , Florian Marquardt

It is shown that the electron scattering by static defects, acoustic or optical phonons in quantum wells subjected to an in-plane magnetic field is asymmetric. The probability of scattering contains terms which are proportional to both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Tarasenko

Differences in the confinement of electrons and holes in quantum dots are shown to profoundly impact the magnitude of scattering with acoustic phonons in materials where crystal deformation shifts the conduction and valence band in the same…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 A. Nysteen , P. Kaer , J. Mork

Theory of electron-acoustic single phonon scattering has been reconsidered. It is assumed that the non-degenerate semiconductor has a spherical parabolic band structure. In the basis of the reconsideration there is a phenomenon of the…

Materials Science · Physics 2015-06-15 S. V. Melkonyan , A. L. Harutyunyan , T. A. Zalinyan

The elastic properties of solids are described in close analogy with General Relativity, by locally gauging the translational group of space-time. Electron interactions with the crystal lattice are thus generated by enforcing full gauge…

Mathematical Physics · Physics 2015-06-16 C. A. Dartora , G. G. Cabrera

We present the first numerically exact study of a polaron with quadratic coupling to the oscillator displacement, using two alternative methodological developments. Our results cover both anti-adiabatic and adiabatic regimes and the entire…

Phonon-related decoherence effects in a quantum double-well two-level subsystem coupled to a solid are studied theoretically by the example of deformation phonons. Expressions for the reduced density matrix at T=0 are derived beyond the…

Other Condensed Matter · Physics 2009-11-13 L. A. Openov

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio

Phonon-induced orbital and spin relaxation rates of single electron states in lateral single and double quantum dots are obtained numerically for realistic materials parameters. The rates are calculated as a function of magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Peter Stano , Jaroslav Fabian