Non-Abelian anyons and topological quantum computation

C Nayak, SH Simon, A Stern, M Freedman… - Reviews of Modern …, 2008 - APS
Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

The quantum Hall effect at 5/2 filling factor

RL Willett - Reports on Progress in Physics, 2013 - iopscience.iop.org
Experimental discovery of a quantized Hall state at 5/2 filling factor presented an enigmatic
finding in an established field of study that has remained an open issue for more than twenty …

Measurement of filling factor 5/2 quasiparticle interference with observation of charge e/4 and e/2 period oscillations

RL Willett, LN Pfeiffer, KW West - Proceedings of the …, 2009 - National Acad Sciences
A standing problem in low-dimensional electron systems is the nature of the 5/2 fractional
quantum Hall (FQH) state: Its elementary excitations are a focus for both elucidating the …

Probing quantum phases in ultra-high-mobility two-dimensional electron systems using surface acoustic waves

M Wu, X Liu, R Wang, YJ Chung, A Gupta… - Physical Review Letters, 2024 - APS
Transport measurement, which applies an electric field and studies the migration of charged
particles, ie, the current, is the most widely used technique in condensed matter studies. It is …

Landau Level Mixing and the Ground State of the Quantum Hall Effect

EH Rezayi - Physical Review Letters, 2017 - APS
Inter-Landau-level transitions break particle hole symmetry and will choose either the
Pfaffian or the anti-Pfaffian state as the absolute ground state at 5/2 filling of the fractional …

Magnetic-Field-Tuned Aharonov-Bohm Oscillations and Evidence <?format ?>for Non-Abelian Anyons at

RL Willett, C Nayak, K Shtengel, LN Pfeiffer, KW West - Physical review letters, 2013 - APS
We show that the resistance of the ν= 5/2 quantum Hall state, confined to an interferometer,
oscillates with the magnetic field consistent with an Ising-type non-Abelian state. In three …

Interferometric signature of non-Abelian anyons

W Bishara, P Bonderson, C Nayak, K Shtengel… - Physical Review B …, 2009 - APS
We consider the tunneling current through a double point-contact Fabry-Pérot interferometer
such as used in recent experimental studies of the fractional quantum Hall plateau at filling …

Alternation and interchange of e/4 and e/2 period interference oscillations consistent with filling factor 5/2 non-Abelian quasiparticles

RL Willett, LN Pfeiffer, KW West - Physical Review B—Condensed Matter and …, 2010 - APS
It is a theoretical conjecture that 5/2 fractional quantum Hall state charge e/4 excitations may
obey non-Abelian statistics. In edge state interference these purported non-Abelian …

Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase

N Samkharadze, KA Schreiber, GC Gardner… - Nature Physics, 2016 - nature.com
Until the late 1980s, phases of matter were understood in terms of Landau's symmetry-
breaking theory. Following the discovery of the quantum Hall effect, the introduction of a …

Fractional Quantum Hall State at and the Moore-Read Pfaffian

M Storni, RH Morf, S Das Sarma - Physical review letters, 2010 - APS
Using exact diagonalization we show that the spin-polarized Coulomb ground state at ν= 5 2
is adiabatically connected with the Moore-Read wave function for systems with up to 18 …