Dynamical disentanglement across a point contact in a non-Abelian quantum Hall state.
Physical review letters 97:3 (2006) 036801
Abstract:
We analyze the tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at the Landau level filling fraction nu=5/2, assuming that the electrons in the first excited Landau level organize themselves in the non-Abelian Moore-Read Pfaffian state. By bosonizing the edge theory, we show that an effective spin-1/2 degree of freedom emerges in the description of a point contact. We show how the crossover from the high-temperature regime of weak quasiparticle tunneling between the edges of the droplet, with the 4-terminal Rxx approximately T(-3/2), to the low-temperature limit, with Rxx(-1/10)(h/e2) approximately-T4, is closely related to the two-channel Kondo effect. We give a physical interpretation for the entropy loss of ln(2[square root of 2) in this crossover.Condensation of magnons and spinons in a frustrated ladder
Physical Review B American Physical Society (APS) 73:21 (2006) 214405
Realizing non-Abelian statistics in time-reversal-invariant systems
Physical Review B American Physical Society (APS) 72:2 (2005) 024412
Exact results for strongly correlated fermions in 2 + 1 dimensions.
Physical review letters 95:4 (2005) 046403
Abstract:
We derive exact results for a model of strongly interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we show how the ground states can be frustrated, quantum critical, or combine frustration with a Wigner crystal. We show that on generic lattices the model is in an exotic "superfrustrated" state characterized by an extensive ground-state entropy.Hard squares with negative activity
Journal of Physics A: Mathematical and Theoretical IOP Publishing 38:2 (2005) 315