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Workshops & seminars

Snakes, graphene and superconductivity


Date & time
Monday, March 6, 2017
3 p.m. – 4 p.m.
Speaker(s)

Dr. Rakesh Tiwari, McGill University

Cost

Free

Organization

Department of Physics

Contact

514-848-2424 ext. 3270

Where

Central Building
7141 Sherbrooke W.
Room CC-305

Wheel chair accessible

Yes

Snake states are open trajectories for charged particles propagating in two dimensions under the influence of a spatially varying perpendicular magnetic field. In the quantum limit they are protected edge modes that separate topologically inequivalent ground states and can also occur when the particle density rather than the field is made nonuniform. We examine the correspondence of snake trajectories in single-layer graphene in the quantum limit for two families of domain walls: (a) a uniform doped carrier density in an antisymmetric field profile and (b) antisymmetric carrier distribution in a uniform field. These families support different internal symmetries but the same pattern of boundary and interface currents. We demonstrate that these physically different situations are gauge equivalent when rewritten in a Nambu doubled formulation of the two limiting problems. Using gauge transformations in particle-hole space to connect these problems, we map the protected interfacial modes to the Bogoliubov quasiparticles of an interfacial one-dimensional p-wave paired state.

 

Biographical Information: Dr. Rakesh Tiwari obtained his PhD in theoretical physics at the Ohio State University in 2010, was a postdoctoral scientist at the Technical University of Delft (2010-11) and the University of Basel (2012-16) before joining McGill as a research associate in 2017. Dr. Tiwari has published papers in a broad range of topics including: Josephson junction devices, unconventional and topological superconductivity, topological states of matter, graphene, Weyl semimetals, quantum transport in low dimensions, quantum dots, solid state realizations of non-abelian anyons, superconducting qubits and magnonic and photonic crystals.

 

All Faculty, staff and students are invited
Coffee will be served in the Department of Physics
SP-367-11 at 2:30  PM
Information: 514 848-2424 ext. 3270

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