AC-Conductivity Measure from Heat Production of Free Fermions in Disordered Media

Autor(es)

Bru, J. -B. ^[1] ; de Siqueira Pedra, W. ; Hertling, C.

Afiliação do(s) autor(es)

^[1] Basque Fdn Sci, Ikerbasque, Maria Diaz de Haro 3, Bilbao 48013 - Spain

• Tipo de documento: Artigo Científico
• Fonte: Archive for Rational Mechanics and Analysis; v. 220, n. 2, p. 445-504, MAY 2016.
• Citações Web of Science: 3

Resumo

We extend (Bru et al. in J Math Phys 56: 051901-1-51, 2015) in order to study the linear response of free fermions on the lattice within a (independently and identically distributed) random potential to a macroscopic electric field that is time-and space-dependent. We obtain the notion of a macroscopic AC-conductivity measure which only results from the second principle of thermodynamics. The latter corresponds here to the positivity of the heat production for cyclic processes on equilibrium states. Its Fourier transform is a continuous bounded function which is naturally called (macroscopic) conductivity. We additionally derive Green-Kubo relations involving time-correlations of bosonic fields coming from current fluctuations in the system. This is reminiscent of non-commutative central limit theorems. (AU)

• Processo FAPESP: 13/13215-5 - Produção de calor em sistemas fermiônicos infinitos sujeitos a campos elétricos
• Beneficiário: Walter Alberto de Siqueira Pedra
• Linha de fomento: Auxílio à Pesquisa - Regular