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 develo** field of Majorana zero modes
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …

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 …

A logic-gated nanorobot for targeted transport of molecular payloads

SM Douglas, I Bachelet, GM Church - Science, 2012 - science.org
We describe an autonomous DNA nanorobot capable of transporting molecular payloads to
cells, sensing cell surface inputs for conditional, triggered activation, and reconfiguring its …

Recent experimental progress of fractional quantum Hall effect: 5/2 filling state and graphene

X Lin, R Du, X **e - National Science Review, 2014 - academic.oup.com
The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed
33 years ago. FQHE involves strong Coulomb interactions and correlations among the …

Unraveling the spin polarization of the ν= 5/2 fractional quantum Hall state

L Tiemann, G Gamez, N Kumada, K Muraki - Science, 2012 - science.org
The fractional quantum Hall (FQH) effect at filling factor ν= 5/2 has recently come under
close scrutiny, as its ground state may possess quasi-particle excitations obeying …

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 …

More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene

MR Peterson, C Nayak - Physical Review B—Condensed Matter and Materials …, 2013 - APS
We construct an effective Hamiltonian for electrons in the fractional quantum Hall regime for
GaAs and graphene that takes into account Landau level mixing (for both GaAs and …

Phase Diagram of the Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width

K Pakrouski, MR Peterson, T Jolicoeur, VW Scarola… - Physical Review X, 2015 - APS
Interesting non-Abelian states, eg, the Moore-Read Pfaffian and the anti-Pfaffian, offer
candidate descriptions of the ν= 5/2 fractional quantum Hall state. But, the significant …

Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect

KKW Ma, DE Feldman - Physical Review B, 2019 - APS
Since the charged mode is much faster than the neutral modes on quantum Hall edges at
large filling factors, the edge may remain out of equilibrium in thermal conductance …

Measurements of quasiparticle tunneling in the fractional quantum Hall state

X Lin, C Dillard, MA Kastner, LN Pfeiffer… - Physical Review B …, 2012 - APS
Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which
carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the …