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Graphene; Chern–Simons field theory; 2D gravity; KdV solitons.

It is shown that in (2+1)-dimensional condensed matter systems, induced gravitational Chern–Simons (CS) action can play a crucial role for coherent spin transport in a finite geometry, provided zero-curvature condition is satisfied on the boundary. The role of the resultant KdV solitons is explicated. The fact that KdV solitons can pass through each other without interference, represent `resistanceless' spin transport.

Kumar Abhinav¹ Vivek M Vyas² Prasanta K Panigrahi¹

1. Indian Institute of Science Education and Research (IISER) Kolkata, Mohanpur 741 246, India
2. Institute of Mathematical Sciences, Tharamani, Chennai 600 113, India

Published

November 2015

Early published

16 October 2015