Micropillar resonator in a magnetic field: Zero and Finite temperature cases

Details Micropillar resonator in a magnetic field: Zero and Finite temperature cases Micropillar resonator in a magnetic field: Zero and Finite temperature cases

2007-05-20

arxiv.org/abs/0705.2845v1

Superlattices and Microstructures 43 (2008) 500 - 506

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

"Paper presented in PLMCN7. To appear in Superlattices and Microstructures"

Scientific paper

10.1016/j.spmi.2007.07.023

In this work, we present a theoretical study of a quantum dot-microcavity system which includes a constant magnetic field in the growth direction of the micropillar. First, we study the zero temperature case by means of a selfconsistent procedure with a trial function composed by a coherent photon field and a BCS function for the electron-hole pairs. The dependence of the ground-state energy on the magnetic field and the number of polaritons is found. We show that the magnetic field can be used as a control parameter of the photon number, and we make explicit the scaling of the total energy with the number of polaritons. Next, we study this problem at finite temperatures and obtain the scaling of the critical temperature with the number of polaritons.

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