227 citations · 814 across the 27 of their papers we have counts for
8 papers · 1 filter
Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen, Jiannis K. Pachos
We demonstrate how to directly study non-Abelian statistics for a wide class of exactly solvable many-body quantum systems. By employing exact eigenstates to simulate the adiabatic…
Manifestations of topological effects in graphene
Jiannis K. Pachos
Graphene is a monoatomic layer of graphite with Carbon atoms arranged in a two dimensional honeycomb lattice configuration. It has been known for more than sixty years that the ele…
-junction qubit in monolayer graphene
Colin Benjamin, Jiannis K. Pachos
We propose to combine the advantages of graphene, such as easy tunability and long coherence times, with Josephson physics to manufacture qubits. If these qubits are built around a…
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…
Detecting entangled states in graphene via crossed Andreev reflection
Colin Benjamin, Jiannis K. Pachos
Shot noise cross-correlations across single layer graphene structures are calculated with insulators separating a superconducting region. A new feature of specular crossed Andreev…
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…