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 …

Possible restoration of particle-hole symmetry in the 5/2-quantized Hall state at small magnetic field

L Herviou, F Mila - Physical Review B, 2023 - APS
Motivated by the experimental observation of a quantized 5/2 thermal conductance at filling
ν= 5/2, a result incompatible with both the Pfaffian and the anti-Pfaffian states, we have …

Identifying the Topological Order through Charge Transport Measurements

M Yutushui, A Stern, DF Mross - Physical review letters, 2022 - APS
We propose an experiment to identify the topological order of the ν= 5 2 state through a
measurement of the electric conductance of a mesoscopic device. Our setup is based on …

Approximate two-body generating Hamiltonian for the particle-hole Pfaffian wave function

K Pakrouski - Physical Review B, 2021 - APS
We present two two-body Hamiltonians that approximate the exact particle-hole Pfaffian
wave function with their ground states for all the system sizes where this wave function has …

Particle-hole Pfaffian order in a translationally and rotationally invariant system

C Sun, KKW Ma, DE Feldman - Physical Review B, 2020 - APS
The PH-Pfaffian (particle-hole Pfaffian) topological order has been proposed as a candidate
order for the ν= 5/2 quantum Hall effect. The PH-Pfaffian liquid is known to be the ground …

Particle-hole Pfaffian intracorrelations and intercorrelations in the quantum Hall bilayer

MV Milovanović, S Djurdjević - Physical Review B, 2021 - APS
Particle-hole (PH) Pfaffian topological phases may exist in a uniform system due to strong
Landau level (LL) mixing according to theoretical predictions based on the Son-Dirac …