Thursday, March 29, 2018 - 10:00am - 11:00am
Eric Cances (École Nationale des Ponts-et-Chaussées (ENPC))
After recalling the standard mathematical formalism used to model disordered systems such as random composite materials (mesoscale disorder), doped semiconductors, alloys, or amorphous materials (atomic-scale disorder), I will present a tight-binding model for computing the electrical conductivity of incommensurate multilayer 2D materials. All these models fall into the scope of the mathematical framework, based on non-commutative geometry, introduced by Bellissard to study the physical properties of aperiodic systems.
Thursday, May 18, 2017 - 9:50am - 10:30am
Emil Prodan (Yeshiva University)
Dynamics and macroscopic properties of condensed matter systems can be formulated in the framework of C*-algebras. The linear and non-linear response functions to homogeneous fields can be often cast in the form of N-point correlation functions and these expressions are written directly in the thermodynamic limit. In this talk, I describe a generic set of ideas on how to obtain canonical finite-volume approximations for a class of C*-algebras (and of their non-commutative calculus).
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