318 citations · 4.4k across the 146 of their papers we have counts for
21 papers · 1 filter
Spin-Dependent Signatures of Majorana Vortex Fusion within Planar Josephson Junctions
Krishnan Ganesh, Derek K. K. Lee, Jiannis K. Pachos
We investigate the magnetic characteristics and tunnelling signatures of a planar Josephson junction with Rashba spin-orbit coupling during the fusion of two Majorana vortices. By…
Edge density of bulk states due to relativity
Matthew D. Horner, Jiannis K. Pachos
The boundaries of quantum materials can host a variety of exotic effects such as topologically robust edge states or anyonic quasiparticles. Here, we show that fermionic systems su…
Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
Patricio Salgado-Rebolledo, Giandomenico Palumbo, Jiannis K. Pachos
Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we de…
Seeing topological edge and bulk currents in time-of-flight images
Alvaro Rubio-García, Chris N. Self, Juan Jose García-Ripoll +1
Here we provide a general methodology to directly measure the topological currents emerging in the optical lattice implementation of the Haldane model. Alongside the edge currents…
Topological bulk states and their currents
Chris N. Self, Alvaro Rubio-García, Juan Jose García-Ripoll +1
We provide evidence that, alongside topologically protected edge states, two-dimensional Chern insulators also support localised bulk states deep in their valance and conduction ba…
A Short Introduction to Topological Quantum Computation
Ville Lahtinen, Jiannis K. Pachos
This review presents an entry-level introduction to topological quantum computation -- quantum computing with anyons. We introduce anyons at the system-independent level of anyon m…
Holographic correspondence in topological superconductors
Giandomenico Palumbo, Jiannis K. Pachos
We analytically derive a compatible family of effective field theories that uniquely describe topological superconductors in 3D, their 2D boundary and their 1D defect lines. We sta…
Induced topological order at the boundary of 3D topological superconductors
Peter Finch, James de Lisle, Giandomenico Palumbo +1
We present tight-binding models of 3D topological superconductors in class DIII that support a variety of winding numbers. We show that gapless Majorana surface states emerge at th…
Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
Ville Lahtinen, Andreas W. W. Ludwig, Jiannis K. Pachos +1
We provide a comprehensive microscopic understanding of the nucleation of topological quantum liquids, a general mechanism where interactions between non-Abelian anyons cause a tra…
Fractional quantum Hall effect in a U(1)xSU(2) gauge field
Rebecca N. Palmer, Jiannis K. Pachos
We consider the bosonic fractional quantum Hall effect in the presence of a non-Abelian gauge field in addition to the usual Abelian magnetic field. The non-Abelian field breaks th…
Detecting Majorana bound states
Colin Benjamin, Jiannis K. Pachos
We propose a set of interferometric methods on how to detect Majorana bound states induced by a topological insulator. The existence of these states can be easily determined by the…
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…
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…
-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…
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…
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…
Geometric phases and criticality in spin chain systems
Angelo C. M. Carollo, Jiannis K. Pachos
A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of critica…
Quantum phases of electric dipole ensembles in atom chips
Jiannis K. Pachos
We present how a phase factor is generated when an electric dipole moves along a closed trajectory inside a magnetic field gradient. The similarity of this situation with charged p…