541 citations · 2.5k across the 53 of their papers we have counts for
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Quasi-particle propagation in quantum Hall systems
Diptiman Sen, Michael Stone, Smitha Vishveshwara
We study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum Hall system. We find a discrete set of zer…
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…
The Quantum Hydrodynamics of the Sutherland Model
Michael Stone, Dmitry Gutman
We show that the form of the chiral condition found by Abanov et al., in the quantum hydrodyamics of the Sutherland model arises because there are two distinct inner products with…
Correlators and fractional statistics in the quantum Hall bulk
Smitha Vishveshwara, Michael Stone, Diptiman Sen
We derive single-particle and two-particle correlators of anyons in the presence of a magnetic field in the lowest Landau level. We show that the two-particle correlator exhibits s…
Mass flows and angular momentum density for paired fermions in a harmonic trap
Michael Stone, Inaki Anduaga
We present a simple two-dimensional model of a superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diag…
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…