Reference no: EM132761998

Charge and hole propagation with phonon emission is simulated step-by-step by solving the equations of motion and constraints. Since there are multiple interactions, for each charge interaction we probabilistically determine whether phonon emission occurs, and the outgoing charges and photons are forced to conserve 4-momentum. A fine-enough time step in the charge propagation is calculated from the empirically obtained maximum charge momentum. The equations of motion take into account crystal propagation constraints as well as acceleration by the electric field and the phonon production 'scattering' process. In the case of scattering, the angular solution from Fermi's Golden Rule is randomized. For holes, the equations are straightforwardly solved from the momentum evolution in the electric field and limited by the phonon scattering, while for electrons, we use the Herring-Voigt transformation at each time-step, simplifying the system and making it solvable with the same equations as for holes. How does iZIP and HV detectors fit into the equations and produce a dark matter nucleon scattering cross-section limit? Explain in details the calculation.