Superlattice gain in positive differential conductivity region
David O. Winge, Martin Francki\'e, Andreas Wacker

TL;DR
This paper theoretically confirms the existence of Terahertz gain in a superlattice with positive differential conductivity, showing optimized structures can achieve significant gain potentially enabling lasing, with gain strongly influenced by elastic scattering and dephasing effects.
Contribution
It provides a theoretical analysis confirming gain in superlattices with positive differential conductivity and highlights the impact of elastic scattering and dephasing on the gain.
Findings
Gain above 20 cm$^{-1}$ at low temperatures in optimized structures
Elastic scattering significantly affects the gain
Dephasing alters the nature of relevant states, challenging Wannier-Stark analysis
Abstract
We analyze theoretically a superlattice structure proposed by A. Andronov et al. [JETP Lett 102, 207 (2015)] to give Terahertz gain for an operation point with positive differential conductivity. Here we confirm the existence of gain and show that an optimized structure displays gain above 20 cm at low temperatures, so that lasing may be observable. Comparing a variety of simulations, this gain is found to be strongly affected by elastic scattering. It is shown that the dephasing modifies the nature of the relevant states, so that the common analysis based on Wannier-Stark states is not reliable for a quantitative description of the gain in structures with extremely diagonal transitions.
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