Non-Abelian anyons and topological quantum computation
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 …
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 …
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 …
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
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 …
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 …
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
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 …
oscillates with the magnetic field consistent with an Ising-type non-Abelian state. In three …
Interferometric signature of non-Abelian anyons
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 …
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 …
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
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 …
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 …
is adiabatically connected with the Moore-Read wave function for systems with up to 18 …