369 citations · 5k across the 80 of their papers we have counts for
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Cooper pairs and exclusion statistics from coupled free-fermion chains
Paul Fendley, Kareljan Schoutens
We show how to couple two free-fermion chains so that the excitations consist of Cooper pairs with zero energy, and free particles obeying (mutual) exclusion statistics. This behav…
Gauge symmetry and non-abelian topological sectors in a geometrically constrained model on the honeycomb lattice
Paul Fendley, Joel E. Moore, Cenke Xu
We study a constrained statistical-mechanical model in two dimensions that has three useful descriptions. They are 1) the Ising model on the honeycomb lattice, constrained to have…
Topological Entanglement Entropy from the Holographic Partition Function
Paul Fendley, Matthew P. A. Fisher, Chetan Nayak
We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both…
Loop models and their critical points
Paul Fendley
Loop models have been widely studied in physics and mathematics, in problems ranging from polymers to topological quantum computation to Schramm-Loewner evolution. I present new lo…
Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
Paul Fendley, Matthew P. A. Fisher, Chetan Nayak
We study quasiparticle tunneling between the edges of a non-Abelian topological state. The simplest examples are a p+ip superconductor and the Moore-Read Pfaffian non-Abelian fract…
Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
Paul Fendley, Matthew P. A. Fisher, Chetan Nayak
We analyze tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at Landau level filling fraction nu=5/2, assuming that the electrons in the first exc…