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 …
Full Classification of Transport on an Equilibrated Edge via Shot Noise
The nature of the bulk topological order of the 5/2 non-Abelian fractional quantum Hall state
and the steady state of its edge are long-studied questions. The most promising non-Abelian …
and the steady state of its edge are long-studied questions. The most promising non-Abelian …
Topological thermal Hall conductance of even-denominator fractional states
The even-denominator fractional quantum Hall (FQH) states ν= 5/2 and ν= 7/2 have been
long predicted to host non-Abelian quasiparticles. Their present energy-carrying neutral …
long predicted to host non-Abelian quasiparticles. Their present energy-carrying neutral …
Thermal conductance and noise of Majorana modes along interfaced fractional quantum Hall states
M Hein, C Spånslätt - Physical Review B, 2023 - APS
Identifying the topological order of the fractional quantum Hall state at filling ν= 5/2 is an
important step towards realizing non-Abelian Majorana modes in condensed matter physics …
important step towards realizing non-Abelian Majorana modes in condensed matter physics …
Graviton chirality and topological order in the half-filled landau level
The fractional quantum Hall state at the Landau level filling factor 5/2 is extremely interesting
because it is likely the first non-Abelian state, but its precise nature remains unclear after …
because it is likely the first non-Abelian state, but its precise nature remains unclear after …
Stability of the particle-hole Pfaffian state and the -fractional quantum Hall effect
EH Rezayi, K Pakrouski, FDM Haldane - Physical Review B, 2021 - APS
We present a method for the exact construction of the fully particle-hole symmetric Pfaffian
(PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore …
(PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore …
Partial equilibration of the anti-Pfaffian edge due to Majorana disorder
We consider electrical and thermal equilibration of the edge modes of the anti-Pfaffian
quantum Hall state at ν= 5/2 due to tunneling of the Majorana edge mode to trapped …
quantum Hall state at ν= 5/2 due to tunneling of the Majorana edge mode to trapped …
Topological Interface between Pfaffian and Anti-Pfaffian Order in Quantum Hall Effect
A recent thermal Hall experiment triggered renewed interest in the problem of ν= 5/2
quantum Hall effect, which motivated novel interpretations based on the formation of …
quantum Hall effect, which motivated novel interpretations based on the formation of …
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 …
Possible restoration of particle-hole symmetry in the 5/2-quantized Hall state at small magnetic field
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 …
ν= 5/2, a result incompatible with both the Pfaffian and the anti-Pfaffian states, we have …