Photon-assisted transport

Photon-assisted transport can be modeled by specifying an electromagnetic (EM) mode by the keyword EMmode{ }.

Note

In the version 2024-09-16, only a single EM mode is supported at a time (i.e. multi-mode lasing operation is not supported).

The electric field in this EM mode can be either imposed (detection mode, EMmode{ ElectricField }) or calculated self-consistently (Gain clamping). The detection mode is relevant to study quantum cascade detectors and/or to study the role of photon-assisted transport.

Relation to gain calculation

Gain/absorption calculation from NEGF linear response theory calculates the linear response to an a.c. incoming field. In this case, the d.c. current is not modified. On the other hand, the photon-assisted transport is modeled through the use of a self-energy (self-consistent Born approximation) to describe both absorption and stimulated emission processes, and has an influence on the d.c. transport. In the case of the electron-photon self-energy, a gain is also calculated at the specified EM mode energy. However, the calculated gain slightly differ from the one calculated using linear response, even for small intensities, as broadening effects are not treated within the same level of approximations in the two cases. This is all the more the case when going to small photon energy (i.e. long wavelengths). Hence this method can produce unreliable results in terahertz devices where broadening effects are comparable to the photon energy.

Gain clamping

Gain clamping is relevant to the simulation of quantum lasers. When the modal gain \(g_c\) reaches the cavity losses, lasing starts and the gain is clamped to the cavity losses, that is

(4.2.15)\[\begin{equation} g_c = \alpha \end{equation}\]

The modal gain (or cross-section gain) is defined as

(4.2.16)\[\begin{equation} g_c = \Gamma g \end{equation}\]

where \(g\) is the material gain in the active region and \(\Gamma\) the overlap factor between the cavity mode and the active region. See GainClamping, OverlapFactor, and CavityLosses for input file specifications.


Last update: 29/10/2024