416 citations · 1.1k across the 16 of their papers we have counts for
11 papers · 1 filter
Edge-state enhanced transport in a 2-dimensional quantum walk
Janos K. Asboth, Jonathan M. Edge
Quantum walks on translation invariant regular graphs spread quadratically faster than their classical counterparts. The same coherence that gives them this quantum speedup inhibit…
Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
Jonathan M. Edge, Janos K. Asboth
We investigate time-independent disorder on several two-dimensional discrete-time quantum walks. We find numerically that, contrary to claims in the literature, random onsite phase…
The role of spin-orbit coupling in topologically protected interface states in Dirac materials
D. S. L. Abergel, Jonathan M. Edge, Alexander V. Balatsky
We highlight the fact that two-dimensional materials with Dirac-like low energy band structures and spin-orbit coupling will produce linearly dispersing topologically protected Jac…
Quantum phase transitions of a disordered antiferromagnetic topological insulator
P. Baireuther, J. M. Edge, I. C. Fulga +2
We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnet…
Wigner-Poisson statistics of topological transitions in a Josephson junction
C. W. J. Beenakker, J. M. Edge, J. P. Dahlhaus +3
The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion pa…
Z2 peak of noise correlations in a quantum spin Hall insulator
Jonathan M. Edge, Jian Li, Pierre Delplace +1
We investigate the current noise correlations at a quantum point contact in a quantum spin Hall structure, focusing on the effect of a weak magnetic field in the presence of disord…
Statistical Topological Insulators
I. C. Fulga, B. van Heck, J. M. Edge +1
We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble's inv…
Metallic phase of the quantum Hall effect in four-dimensional space
J. M. Edge, J. Tworzydło, C. W. J. Beenakker
We study the phase diagram of the quantum Hall effect in four-dimensional (4D) space. Unlike in 2D, in 4D there exists a metallic as well as an insulating phase, depending on the d…
Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
E. P. L. van Nieuwenburg, J. M. Edge, J. P. Dahlhaus +2
The quantum kicked rotator is a periodically driven dynamical system with a metal-insulator transition. We extend the model so that it includes phase transitions between a metal an…
Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
T. -P. Choy, J. M. Edge, A. R. Akhmerov +1
There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ing…
Quantum Hall effect in a one-dimensional dynamical system
J. P. Dahlhaus, J. M. Edge, J. Tworzydlo +1
We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a seco…