1. conductance cross-over for 1d wires in symmetry class bdi

Fiona Burnell

University of Minnesota, USA

21 June 2022 Tue 10 am

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

I will discuss transport in the cross-over regime between 0 energy and finite energy for 1 dimensional systems in symmetry class BDI.  This regime is not described by the conventional (DMPK) approach, which captures only the system-size dependence of conductance, and cannot describe its energy dependence.  Numerically, we identify a 2-parameter scaling that captures the cross-over regime, and a family of distributions which appear to capture the full statistics of the conductance in the case of a single-channel wire.  I will describe numerical evidence that this scaling and family of distributions describe a number of different models in this symmetry class, including a 1-dimensional chain with hopping disorder, as well as arm-chair and zig-zag graphene nano ribbons.