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Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media
We contribute an extension of large-deviation results obtained in [N.J.B. Aza, J.-B. Bru, W. de Siqueira Pedra, A. Ratsimanetrimanana, J. Math. Pures Appl. 125 (2019) 209] on conductivity theory at atomic scale of free ...
Equilibrium and Transport Properties of Quantum Many-Body Systems
This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ...
Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media
The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ...