2017/10/31 by Kun Yang
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.241305
published as Phys. Rev. B 96, 241305 (2017) · 4.5 pages with 3 embedded figures. Published version with added reference
arxiv created 2017/12/22 · arxiv updated 2017/12/27
We consider an interface separating the Moore-Read state and Halperin 331 state in a half filled Landau level, which can be realized in a double quantum well system with varying inter-well tunneling and/or interaction strength. We find in the presence of electron tunneling and strong Coulomb interaction across the interface, all charge modes localize and the only propagating mode left is a chiral Majorana fermion mode. Methods to probe this neutral mode are proposed. Quantum phase transition between the Moore-Read and Halperin 331 states is described by a network of such Majorana fermion modes. In addition to a direct transition, they may also be separated by a phase in which the Majorana fermions are delocalized, realizing an incompressible state which exhibits quantum Hall charge transport and bulk heat conduction.