Magnetopolaron effects in light reflection and absorption of a three-level system in a QW

Details Magnetopolaron effects in light reflection and absorption of a three-level system in a QW Magnetopolaron effects in light reflection and absorption of a three-level system in a QW

2000-01-18

arxiv.org/abs/cond-mat/0001248v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, 14 figures with captions, corrected typos, figures are reedeted to improve their quality in accordance with the Refe

Scientific paper

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

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