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SEQUENCE:0
UID:UW-Physics-Event-2674
DTSTART:20121025T150000Z
DURATION:PT1H0M0S
DTSTAMP:20260420T034834Z
LAST-MODIFIED:20121016T171655Z
LOCATION:5310 Chamberlin
SUMMARY:Majorana fermions in vortex lattices\, R. G. Herb Condensed Ma
 tter Seminar\, Rudro Rana Biswas\, University of Illinois at Urbana-Ch
 ampaign
DESCRIPTION:We consider Majorana fermions tunneling between vortices\,
  within an array of such vortices in a 2D chiral p-wave superconductor
 . We calculate that the tunneling amplitude for Majorana fermions in a
  pair of vortices is proportional to the sine of half the difference b
 etween the global order parameter phases at the two vortices. Using th
 is result we study tight-binding models of Majorana fermions in vortic
 es arranged in a triangular or square lattice. In both cases we find t
 hat this phase-tunneling relationship leads to the creation of superla
 ttices where the Majorana fermions form macroscopically degenerate 'fl
 at' bands at zero energy\, in addition to other dispersive bands. This
  finding suggests that in vortex arrays tunneling processes do not cha
 nge the energies of a finite fraction of Majorana fermions and hence b
 righten the prospects of topological quantum computing with a large nu
 mber of Majorana states.
URL:https://www.physics.wisc.edu/events/?id=2674
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