Klein Tunneling and Dirac Physics in Graphene

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Klein Tunneling and Dirac Physics in Graphene Xinyuan Lai P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 Overview Klein Tunneling with Massless Dirac Fermion in Graphene: Tunneling Through a Barrier Whispering Gallery Modes (WGM) in Graphene Berry Phase within the Pusedospin Picture: On/off Berry Phase Switch in a WGM Cavity P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 1. The Klein Paradox ? T = 1 ? The Klein Paradox for infinite high barrier as P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 Mono-Layer Graphene over γ0 and a are the intralayer nearest neighbor hopping energy and distance P502 Presentation/Spring 2018

Klein Tunneling with Massless Dirac Fermion Where: B P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 Transmittance Profile and Klein Tunneling in graphene through npn-Juction The Transmittance is 1 at some certain “magic angle” Half-Period Phase Shift from Berry Phase with magnetic field Applied P502 Presentation/Spring 2018

Whispering Gallery Modes (WGM) in Graphene P502 Presentation/Spring 2018

2. Berry Phase with Pseudospin Precession Replace by Solely Depends on φ P502 Presentation/Spring 2018

On/off Berry Phase Switch in Graphene WGM Cavity Landau Level Splitting P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 Conclusion The Klein Tunneling in Graphene offers a playground for the optics with Massless Dirac Fermions The 2D nature graphene further increase the parameter space of the experiment by offering easy tunable tunneling barrier and electron orbits P502 Presentation/Spring 2018

P502 Presentation/Spring 2018 Reference [1] F. Ghahari, Science, 2017 [2] Y. Zhao, Science, 2015 [3] M. I. Katsnelson, Nat. Phys., 2006 [4] T. Tudorovskiy, Phys. Scr., 2012 [5] A. Varlet, RRL, 2015 [6] P. Allain, arxiv1104.5632v3 [7] D. Xiao, Rev. Mod. Phys., 2009 [8] AF Young, Nat. Phys., 2008 [9] A. V. Shytov, PRL, 2008 P502 Presentation/Spring 2018

WGM vs. Angular Momentum P502 Presentation/Spring 2018

P502 Presentation/Spring 2018