Subcategory: STEM Research
Ayivi Huisso - Florida Memorial University
Co-Author(s): Akeva Fraser, Florida Memorial University
The Classical Boltzmann Equation is the mainstay of semiconductor technology where the one-particle Boltzmann transport equation based on the perturbation procedure of the distribution function f(r,k,t) is mainly used to evaluate the transport coefficients with a fundamental assumption that the transition time is greater than the quantum regime time. For the mesoscopic systems with a transition time corresponding to the quantum regime, we use the many body approach with the Van Hove limit to introduce the relaxation and the entropy production. The response of a quantity J(t) to an external field force is evaluated and expressed in correlation form of the fluctuations <J(t)J(t’)>. Using the correlation fluctuation functions, the general microscopic expressions are given for the transport coefficient fluctuations in the mesoscopic systems, and the quantum 1/f noise spectral density is directly evaluated. The results clearly indicated that the quantum 1/f noise phenomena is caused by radiative corrections on the current density, and it is only generated by the diagonal part of the transition rate.
Funder Acknowledgement(s): This research is supported by the National Science Foundation (HBCU-UP TIP) Grant HRD-1438834
Faculty Advisor: None Listed,