Palestras e Seminários
08/05/2025
15:00
sala 3-102
Palestrante: Alan Ramer dos Santos
Responsável: Charles Ferreira dos Santos (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Modo: Presencial
Seminários de Análise e Física-Matemática
Resumo: The mathematical physicists Abel Klein, Olivier Lenoble and Peter Müller introduced in “On Mott’s formula for the ac-conductivity in the Anderson model” for the first time the concept of a “conductivity measure” for a system of non–interacting fermions in disordered media. Surprisingly, they have discovered a more fundamental physical quantity behind the electrical conductivity of such a system that rules the mechanism of charge transport and whose nature is of a (positive-operator valued) measure. In this talk, I am going to explain how to extend the existence of such a measure for a system of non-interacting fermions within periodic media. A classic example of a material whose crystal lattice shows a periodic structure is the silicon (Si), which is widely used in the semiconductor industry and electronic devices. Hence our interest in a complete and mathematically rigorous description of the linear response of charge transport for such systems. This is part of a joint work with Jean-Bernard Bru and Walter de Siqueira Pedra.
