318 citations · 4.4k across the 146 of their papers we have counts for
11 papers · 1 filter
Thermal States of Anyonic Systems
S. Iblisdir, D. Perez-Garcia, M. Aguado +1
A study of the thermal properties of two-dimensional topological lattice models is presented. This work is relevant to assess the usefulness of these systems as a quantum memory. F…
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…
Centrifugal deformations of the gravitational kink
Paolo Maraner, Jiannis K. Pachos
The Kaluza-Klein reduction of 4d conformally flat spacetimes is reconsidered. The corresponding 3d equations are shown to be equivalent to 2d gravitational kink equations augmented…
Non-locality of non-Abelian anyons
G. K. Brennen, S. Iblisdir, J. K. Pachos +1
Topological systems, such as fractional quantum Hall liquids, promise to successfully combat environmental decoherence while performing quantum computation. These highly correlated…
-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…
Yang-Mills gauge theories from fermionic lattice models
Paolo Maraner, Jiannis K. Pachos
A doublet of three-dimensional Dirac fermions can effectively describe the low energy spectrum of a fermionic cubic lattice. We employ this fermion doubling to encode a non-Abelian…
Scaling law for topologically ordered systems at finite temperature
S. Iblisdir, D. Perez-Garcia, M. Aguado +1
Understanding the behaviour of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the…
One dimensional stable probability density functions for rational index
Agapitos Hatzinikitas, Jiannis K. Pachos
Fox's H-function provide a unified and elegant framework to tackle several physical phenomena. We solve the space fractional diffusion equation on the real line equipped with a del…
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…
Non-abelian statistics from an abelian model
James R. Wootton, Ville Lahtinen, Zhenghan Wang +1
It is well known that the abelian anyonic model (toric code) can be realized on a highly entangled two-dimensional spin lattice, where the anyons are quasiparticles located a…
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…