318 citations · 4.4k across the 146 of their papers we have counts for
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Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model
Ville Lahtinen, Graham Kells, Angelo Carollo +3
The spectral properties of Kitaev's honeycomb lattice model are investigated both analytically and numerically with the focus on the non-abelian phase of the model. After summarizi…
Revealing anyonic features in a toric code quantum simulation
J. K. Pachos, W. Wieczorek, C. Schmid +3
Anyons are quasiparticles in two-dimensional systems that show statistical properties very distinct from those of bosons or fermions. While their isolated observation has not yet b…
Graphene with geometrically induced vorticity
Jiannis K. Pachos, Michael Stone, Kristan Temme
At half filling, the electronic structure of graphene can be modelled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometri…
Chiral entanglement in triangular lattice models
D. I. Tsomokos, J. J. Garcia-Ripoll, N. R. Cooper +1
We consider the low energy spectrum of spin-1/2 two-dimensional triangular lattice models subject to a ferromagnetic Heisenberg interaction and a three spin chiral interaction of v…
Why should anyone care about computing with anyons?
Gavin K. Brennen, Jiannis K. Pachos
In this article we present a pedagogical introduction of the main ideas and recent advances in the area of topological quantum computation. We give an overview of the concept of an…
Universal Features of Dimensional Reduction Schemes from General Covariance Breaking
Paolo Maraner, Jiannis K. Pachos
Many features of dimensional reduction schemes are determined by the breaking of higher dimensional general covariance associated with the selection of a particular subset of coord…
Zero modes of various graphene configurations from the index theorem
Jiannis K. Pachos, Agapitos Hatzinikitas, Michael Stone
In this article we consider a graphene sheet that is folded in various compact geometries with arbitrary topology described by a certain genus, . While the Hamiltonian of these…