373 citations · 2k across the 34 of their papers we have counts for
10 papers · 1 filter
Josephson Coupled Moore-Read States
Gunnar Möller, Layla Hormozi, Joost Slingerland +1
We study a quantum Hall bilayer system of bosons at total filling factor , and study the phase that results from short ranged pair-tunneling combined with short ranged interl…
Non-equilibrium noise in the (non-)Abelian fractional quantum Hall effect
Olaf Smits, J. K. Slingerland, Steven H. Simon
We analyse the noise of the edge current of a generic fractional quantum Hall state in a tunnelling point contact system. We show that the non-symmetrized noise in the edge current…
Tunnelling current through fractional quantum Hall interferometers
Olaf Smits, Steven H. Simon, J. K. Slingerland
We calculate the tunnelling current through a Fabry-Pérot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-…
A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
G. Kells, J. K. Slingerland, J. Vala
We present a solution of Kitaev's spin model on the honeycomb lattice and of related topologically ordered spin models. We employ a Jordan-Wigner type fermionization and find that…
The non-Abelian Interferometer
Waheb Bishara, Parsa Bonderson, Chetan Nayak +2
We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at fi…
Condensate induced transitions between topologically ordered phases
F. A. Bais, J. K. Slingerland
We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an exten…
Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
G. Kells, A. T. Bolukbasi, V. Lahtinen +3
The classification of loop symmetries in Kitaev's honeycomb lattice model provides a natural framework to study the abelian topological degeneracy. We derive a perturbative low-ene…
Fractional Quantum Hall Hierarchy and the Second Landau Level
Parsa Bonderson, J. K. Slingerland
We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the nu = 5/2 Moore-Read st…
Probing Non-Abelian Statistics with QuasiParticle Interferometry
Parsa Bonderson, Kirill Shtengel, J. K. Slingerland
We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result app…
Quantum groups and nonabelian braiding in quantum Hall systems
J. K. Slingerland, F. A. Bais
Wave functions describing quasiholes and electrons in nonabelian quantum Hall states are well known to correspond to conformal blocks of certain coset conformal field theories. In…