"A Bosonization Puzzle in Non-linear Transport"
This event is part of the Condensed Matter Theory Seminar Series.
In this talk, we will critically reexamine the bosonization-debosonization procedure for systems including localized features or boundaries. First, by focusing on the case of a tunneling junction out of equilibrium, we will show that the conventional bosonization approach can give results that are not consistent with a direct solution of the problem even at the qualitative level when higher-order processes are considered. Thus highlighting possible inconsistencies that can adversely affect the results of all types of calculations. We will subsequently report on a "consistent bosonization-debosonization" procedure that we have developed to resolve this non-linear transport puzzle and argue that it should be widely applicable . This new framework takes the form of additional considerations, related to the regularization of fermionic bilinears, that supplement the conventional bosonization procedure and it can be carried over to the study of other systems. We will then discuss its application to the two-lead Kondo junction , that besides being a key theoretical prototype of a non-equilibrium strongly correlated system is also of continuing experimental relevance. The discussion will be focused on the Toulouse limit of that problem.
References:  Nayana Shah and C. J. Bolech, Phys. Rev. B 93, 085440 (2016).  C. J. Bolech and Nayana Shah, Phys. Rev. B 93, 085441 (2016).