Theory of parametric amplification in in superlattices
Timo Hyart, Alexey V. Shorokhov, and Kirill N. Alekseev

TL;DR
This paper presents a theoretical analysis of parametric amplification in superlattices, showing that Bragg reflections induce a resonance enabling phase-sensitive THz amplification without negative differential conductance.
Contribution
It introduces a new theoretical framework for parametric amplification in superlattices, avoiding high-field domain formation.
Findings
Parametric resonance arises from Bragg reflections in minibands.
Phase-sensitive THz amplification is theoretically feasible.
Amplification does not require negative differential conductance.
Abstract
We consider a high-frequency response of electrons in a single miniband of superlattice subject to dc and ac electric fields. We show that Bragg reflections in miniband result in a parametric resonance which is detectable using ac probe field. We establish theoretical feasibility of phase-sensitive THz amplification at the resonance. The parametric amplification does not require operation in conditions of negative differential conductance. This prevents a formation of destructive high-field domains inside the superlattice.
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