Talk given by

Ruchi Saxena
Harish-Chandra Research Institute
Allahabad, India

Abstract:

Dynamically driven topological phase transitions have been the focus of intense research recent 
times mainly because of our limited control to tune the topological invariant of a TI and also due 
to the scarcity of such topological materials in solid-state structures. I would like to talk about 
on our recent work on the time-periodically driven Spin-Orbit Coupled materials within the 
tight-binding approach. We focus on the low-frequency limit where one cannot expect the 
conventional bulk-edge correspondence which is utilized to study the edge physics from the bulk 
topology in the static systems. We explicitly show the phase diagrams which exhibit various 
interesting topological phases. We also study geometry with a boundary to compute the edge 
spectrum and show that they possess unusual bulk-edge correspondence, unlike the static 
counterpart. We focus on one of the phase which is characterized by zero value of the topological 
invariant but possess robust chiral edge modes. We study the transport in this phase as well as 
the robustness of this phase in presence of disorder.