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 …
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …
Recent experimental progress of fractional quantum Hall effect: 5/2 filling state and graphene
X Lin, R Du, X Xie - 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 …
33 years ago. FQHE involves strong Coulomb interactions and correlations among the …
Stabilization of the particle-hole Pfaffian order by Landau-level mixing and impurities that break particle-hole symmetry
PT Zucker, DE Feldman - Physical Review Letters, 2016 - APS
Numerical results suggest that the quantum Hall effect at ν= 5/2 is described by the Pfaffian
or anti-Pfaffian state in the absence of disorder and Landau-level mixing. Those states are …
or anti-Pfaffian state in the absence of disorder and Landau-level mixing. Those states are …
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 …
carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the …
Edge probes of topological order
M Heiblum, DE Feldman - International Journal of Modern Physics …, 2020 - World Scientific
According to the bulk-edge correspondence principle, the physics of the gapless edge in the
quantum Hall effect determines the topological order in the gapped bulk. As the bulk is less …
quantum Hall effect determines the topological order in the gapped bulk. As the bulk is less …
Fractional quantum Hall effect at the filling factor
The fractional quantum Hall (FQH) effect at the filling factor $\nu= 5/2$ was discovered in
GaAs heterostructures more than 35 years ago. Various topological orders have been …
GaAs heterostructures more than 35 years ago. Various topological orders have been …
Long-distance entanglement of spin qubits via quantum hall edge states
The implementation of a functional quantum computer involves entangling and coherent
manipulation of a large number of qubits. For qubits based on electron spins confined in …
manipulation of a large number of qubits. For qubits based on electron spins confined in …
Influence of device geometry on tunneling in the quantum Hall liquid
G Yang, DE Feldman - Physical Review B—Condensed Matter and Materials …, 2013 - APS
Two recent experiments [Radu, Science 320, 899 (2008) SCIEAS 0036-8075
10.1126/science. 1157560; Lin, Phys. Rev. B 85, 165321 (2012) PRBMDO 1098-0121 …
10.1126/science. 1157560; Lin, Phys. Rev. B 85, 165321 (2012) PRBMDO 1098-0121 …
The sixteenfold way and the quantum Hall effect at half-integer filling factors
KKW Ma, DE Feldman - Physical Review B, 2019 - APS
Fractional quantum Hall states at half-integer filling factors have been observed in many
systems beyond the 5 2 and 7 2 plateaus in GaAs quantum wells. This includes bilayer …
systems beyond the 5 2 and 7 2 plateaus in GaAs quantum wells. This includes bilayer …
Experimental constraints and a possible quantum Hall state at
G Yang, DE Feldman - Physical Review B, 2014 - APS
Several topological orders have been proposed to explain the quantum Hall plateau at ν=
5/2. The observation of an upstream neutral mode on the sample edge supports the non …
5/2. The observation of an upstream neutral mode on the sample edge supports the non …