CCN Seminar with Yi Huang (University of Minnesota)

Friday May 20, 2022, 3:00 PM → 5:00 PM America/New_York

4th Floor Classroom/4-Simons Foundation (160 5th Avenue)

Speaker: Yi Huang, Doctoral Candidate in Theoretical Physics, University of Minnesota


Title: Anderson transition in three-dimensional systems with non-Hermitian disorder


Abstract: We study the Anderson transition for three-dimensional (3D) N× N× N tightly bound cubic lattices where both real and imaginary parts of on-site energies are independent random variables distributed uniformly between-W/2 and W/2. Such a non-Hermitian analog of the Anderson model is used to describe random-laser medium with local loss and amplification. We employ eigenvalue statistics to search for the Anderson transition. For 25% smallest-modulus complex eigenvalues we find the average ratio r of distances to the first and the second nearest neighbor as a function of W. For a given N the function r (W) crosses from 0.72 to 2/3 with a growing W demonstrating a transition from delocalized to localized states. When plotted at different N all r (W) cross at W c= 6.0±0.1 (in units of nearest-neighbor overlap integral) clearly demonstrating the 3D Anderson transition. We find that in the non-Hermitian 2D Anderson model, the transition is replaced by a crossover.