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 …

Molecular beam epitaxy of ultra-high-quality AlGaAs/GaAs heterostructures: Enabling physics in low-dimensional electronic systems

MJ Manfra - Annu. Rev. Condens. Matter Phys., 2014 - annualreviews.org
Among very-low-disorder systems of condensed matter, the high-mobility two-dimensional
electron gas (2DEG) confined in aluminum gallium arsenide (AlGaAs)–gallium arsenide …

Non-Abelian fractionalization in topological minibands

AP Reddy, N Paul, A Abouelkomsan, L Fu - Physical Review Letters, 2024 - APS
Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré
systems, we consider the possibility of realizing non-Abelian phases in topological …

Majorana zero modes and topological quantum computation

SD Sarma, M Freedman, C Nayak - npj Quantum Information, 2015 - nature.com
We provide a current perspective on the rapidly developing field of Majorana zero modes
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …

Nonconventional Odd-Denominator Fractional Quantum Hall States<? format?> in the Second Landau Level

A Kumar, GA Csáthy, MJ Manfra, LN Pfeiffer, KW West - Physical review letters, 2010 - APS
We report the observation of a new fractional quantum Hall state in the second Landau level
of a two-dimensional electron gas at the Landau level filling factor ν= 2+ 6/13. We find that …

Infinite density matrix renormalization group for multicomponent quantum Hall systems

MP Zaletel, RSK Mong, F Pollmann, EH Rezayi - Physical Review B, 2015 - APS
While the simplest quantum Hall plateaus, such as the ν= 1/3 state in GaAs, can be
conveniently analyzed by assuming only a single active Landau level participates, for many …

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 …

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 …

Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states

P Bonderson, V Gurarie, C Nayak - Physical Review B—Condensed Matter …, 2011 - APS
We study the non-Abelian statistics of quasiparticles in the Ising-type quantum Hall states
which are likely candidates to explain the observed Hall conductivity plateaus in the second …

Theory of disorder-induced half-integer thermal Hall conductance

DF Mross, Y Oreg, A Stern, G Margalit, M Heiblum - Physical Review Letters, 2018 - APS
The thermal Hall conductance in the half-filled first Landau level was recently measured to
take the quantized noninteger value κ xy= 5/2 (in units of temperature times π 2 k B 2/3 h) …