Emerging Researchers National (ERN) Conference

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Fluctuations of Transport Coefficients in the Van Hove limit: Quantum 1/f Noise

Faculty #40
Discipline: Physics
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,

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This material is based upon work supported by the National Science Foundation (NSF) under Grant No. DUE-1930047. Any opinions, findings, interpretations, conclusions or recommendations expressed in this material are those of its authors and do not represent the views of the AAAS Board of Directors, the Council of AAAS, AAAS’ membership or the National Science Foundation.