Exciton condensation and fractional charge in a bilayer two-dimension electron gas adjacent to a superconductor film

Details Exciton condensation and fractional charge in a bilayer two-dimension electron gas adjacent to a superconductor film Exciton condensation and fractional charge in a bilayer two-dimension electron gas adjacent to a superconductor film

2010-04-30

arxiv.org/abs/1004.5471v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4.6 pages, 3 figures

Scientific paper

We study the exciton condensate (EC) in a bilayer two-dimension-electron-gas (2DEG) adjacent to a type-II superconductor thin film with an array of pinned vortex lattices. By applying continuum low energy theory and carrying numerical simulations of lattice model within mean-field approximation, we find that if the order parameter of EC has a vortex profile, there are exact zero modes and associated \emph{rational} fractional charge for zero pseudospin potential ($\mu$) and average chemical potential ($h$): $\mu$=0 and $h$=0; while for $\mu\mathtt{\neq}0$ and $h$=0, intervalley mixing splits the zero energy levels, and the system exhibits \emph{irrational} fractional \emph{axial} charge.

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