Hunting for majoranas

A Yazdani, F Von Oppen, BI Halperin, A Yacoby - Science, 2023‏ - science.org
Over the past decade, there have been considerable efforts to observe non-abelian
quasiparticles in novel quantum materials and devices. These efforts are motivated by the …

Fractional charge and fractional statistics in the quantum Hall effects

DE Feldman, BI Halperin - Reports on Progress in Physics, 2021‏ - iopscience.iop.org
Quasiparticles with fractional charge and fractional statistics are key features of the fractional
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …

Non-Abelian topological order and anyons on a trapped-ion processor

M Iqbal, N Tantivasadakarn, R Verresen, SL Campbell… - Nature, 2024‏ - nature.com
Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

Direct observation of anyonic braiding statistics

J Nakamura, S Liang, GC Gardner, MJ Manfra - Nature Physics, 2020‏ - nature.com
Anyons are quasiparticles that, unlike fermions and bosons, show fractional statistics when
two of them are exchanged. Here, we report the experimental observation of anyonic …

Fabry-Pérot Interferometry at the Fractional Quantum Hall State

J Nakamura, S Liang, GC Gardner, MJ Manfra - Physical Review X, 2023‏ - APS
Electronic Fabry-Pérot interferometry is a powerful method to probe quasiparticle charge
and anyonic braiding statistics in the fractional quantum Hall regime. We extend this …

Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene

J Kim, H Dev, R Kumar, A Ilin, A Haug… - Nature …, 2024‏ - nature.com
In the fractional quantum Hall effect, quasiparticles are collective excitations that have a
fractional charge and show fractional statistics as they interchange positions. While the …

Topological phase transition between Jain states and daughter states of the ν = 1/2 fractional quantum Hall state

SK Singh, C Wang, CT Tai, CS Calhoun… - Nature Physics, 2024‏ - nature.com
The even-denominator fractional quantum Hall state at a filling factor of ν= 1/2 is an
intriguing many-body phase in two-dimensional electron systems, as it appears in the …

Search for non-Abelian Majorana braiding statistics in superconductors

C Beenakker - SciPost Physics Lecture Notes, 2020‏ - scipost.org
This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana
zero-modes) in topological superconductors. That" Holy Grail" of topological quantum …

Methods for simulating string-net states and anyons on a digital quantum computer

YJ Liu, K Shtengel, A Smith, F Pollmann - PRX Quantum, 2022‏ - APS
The finding of physical realizations of topologically ordered states in experimental settings,
from condensed matter to artificial quantum systems, has been the main challenge en route …

Accurately computing the electronic properties of a quantum ring

C Neill, T McCourt, X Mi, Z Jiang, MY Niu… - Nature, 2021‏ - nature.com
A promising approach to study condensed-matter systems is to simulate them on an
engineered quantum platform,,–. However, the accuracy needed to outperform classical …