Energy levels of two- and three-dimensional polarons in a magnetic field.

Energy levels of two- and three-dimensional polarons in a magnetic field.
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磁场中二维和三维极化子的能级。

DOI:
10.1103/physrevb.31.3689
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发表时间:
1985
期刊:
Physical review. B, Condensed matter
影响因子:
--
通讯作者:
Devreese
Devreese
中科院分区:
--
文献类型:
--
作者:
Peeters;Devreese

文献摘要

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The influence of the electron-phonon interaction on the Landau levels of two- (2D) and three-dimensional (3D) electrons are studied within second-order perturbation theory. It is found that polaron effects in ideal 2D systems are larger than in 3D systems which agrees with recent results of Das Sarma and Larsen. Analytical and numerical results are presented for the electron-phonon correction to the different Landau levels (n) below the LO-phonon continuum. Special attention is paid to the small and large magnetic-field limit and to the splitting of the Landau levels which occurs at n${\ensuremath{\omega}}_{c}$\ensuremath{\approxeq}${\ensuremath{\omega}}_{0}$ (${\ensuremath{\omega}}_{c}$ is the cyclotron frequency and ${\ensuremath{\omega}}_{0}$ is the LO-phonon frequency). Existing results are rederived and generalized.
The influence of the electron-phonon interaction on the Landau levels of two- (2D) and three-dimensional (3D) electrons are studied within second-order perturbation theory. It is found that polaron effects in ideal 2D systems are larger than in 3D systems which agrees with recent results of Das Sarma and Larsen. Analytical and numerical results are presented for the electron-phonon correction to the different Landau levels (n) below the LO-phonon continuum. Special attention is paid to the small and large magnetic-field limit and to the splitting of the Landau levels which occurs at n${\ensuremath{\omega}}_{c}$\ensuremath{\approxeq}${\ensuremath{\omega}}_{0}$ (${\ensuremath{\omega}}_{c}$ is the cyclotron frequency and ${\ensuremath{\omega}}_{0}$ is the LO-phonon frequency). Existing results are rederived and generalized.