Composite fermion model for entanglement spectrum of fractional quantum Hall states
Physical Review B American Physical Society (APS) 92:11 (2015) 115155
Enhanced Bulk-Edge Coulomb Coupling in Fractional Fabry-Perot Interferometers.
Physical review letters 115:12 (2015) 126807
Abstract:
Recent experiments use Fabry-Perot (FP) interferometry to claim that the ν=5/2 quantum Hall state exhibits non-Abelian topological order. We note that the experiments appear inconsistent with a model neglecting bulk-edge Coulomb coupling and Majorana tunneling, so we reexamine the theory of FP devices. Even a moderate Coulomb coupling may strongly affect some fractional plateaus, but very weakly affect others, allowing us to model the data over a wide range of plateaus. While experiments are consistent with the ν=5/2 state harboring Moore-Read topological order, they may have measured Coulomb effects rather than an "even-odd effect" due to non-Abelian braiding.Large Chern Number and Edge Currents in Sr2RuO4.
Physical review letters 115:8 (2015) 087003
Abstract:
We show from a weak-coupling microscopic calculation that the most favored chiral superconducting order parameter in Sr2RuO4 has a Chern number of |C|=7. The two dominant components of this order parameter are given by sin(3k(x))+isin(3k(y)) and sin(k(x))cos(k(y))+isin(k(y))cos(k(x)) and lie in the same irreducible representation E(u) of the tetragonal point group as the usually assumed gap function, sin(k(x))+isin(k(y)). While the latter gap function leads to C=1, the two former lead to C=-7, which is also allowed for an E_{u} gap function since the tetragonal symmetry only fixes C modulo 4. Since it was shown that the edge currents of a |C|>1 superconductor vanish exactly in the continuum limit, and can be strongly reduced on the lattice, this form of order parameter could help resolve the conflict between experimental observation of time-reversal symmetry breaking and yet the absence of observed edge currents in Sr2RuO4.Passive correction of quantum logical errors in a driven, dissipative system: A blueprint for an analog quantum code fabric
Physical Review A American Physical Society (APS) 91:6 (2015) 062324
Hidden order and flux attachment in symmetry-protected topological phases: A Laughlin-like approach
Physical Review B American Physical Society (APS) 91:19 (2015) 195117