Lévy-disordered random media
MAY 12, 2017 | 11:00 AM TO 12:30 PM
The Graduate Center
365 Fifth Avenue
May 12, 2017: 11:00 AM-12:30 PM
Initiative for the Theoretical Sciences and PhD Program in Physics
Seminar will take place in Room 5209.
Speaker: Victor Gopar (Zaragosa)
Transport of classical (EM) and matter (electrons) waves through random media has been widely studied. For instance, it is widely believed that the presence of disorder in 1D disordered systems leads to an exponential localization of the waves, i.e., Anderson localization. In this talk, however, we will see that by introducing the so-called Lévy-type disorder, waves are anomalously localized, in relation to the Anderson localization. Originally, our Lévy disorder model was proposed to study electronic quantum transport, however, here we provide experimental evidence demonstrating anomalous localization of EM waves in ``Lévy waveguides”: A microwave waveguide with dielectric slabs whose random spacing between slabs follows a distribution with a power-law tail (Levy-type distribution). The above transport problem is studied within random-matrix theory and a scaling approach to localization. We will thus present some results of random matrix theory that describes the statistical properties of the transmission through disorder media in the presence of standard-Anderson localization and then, we extend those results to consider anomalous localization. If time permits, we might also discuss the problem of quantum transport through disordered graphene nanoribbons, where we have found anomalous localization (without the presence of L\’evy disorder) that can be described by our model.