Quantum Adiabatic Algorithm and Scaling of Gaps at First-Order Quantum Phase Transitions
Physical Review Letters American Physical Society (APS) 109:3 (2012) 030502
ChemInform Abstract: Spin Ice, Fractionalization, and Topological Order
ChemInform Wiley 43:28 (2012) no-no
Fractional Chern insulators and the W ∞ algebra
Physical Review B - Condensed Matter and Materials Physics 85:24 (2012)
Abstract:
A set of recent results indicates that fractionally filled bands of Chern insulators in two dimensions support fractional quantum Hall states analogous to those found in fractionally filled Landau levels. We provide an understanding of these results by examining the algebra of Chern band projected density operators. We find that this algebra closes at long wavelengths and for constant Berry curvature, whereupon it is isomorphic to the W ∞ algebra of lowest Landau level projected densities first identified by Girvin, MacDonald, and Platzman. For Hamiltonians projected to the Chern band this provides a route to replicating lowest Landau level physics on the lattice. © 2012 American Physical Society.The weakly coupled Pfaffian as a type I quantum hall liquid
Physica B Condensed Matter Elsevier 407:11 (2012) 1937-1938
Magnetic Coulomb Fields of Monopoles in Spin Ice and Their Signatures in the Internal Field Distribution
Physical Review Letters American Physical Society (APS) 108:21 (2012) 217203