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 …

Shot noise in mesoscopic systems: From single particles to quantum liquids

K Kobayashi, M Hashisaka - Journal of the Physical Society of Japan, 2021 - journals.jps.jp
Shot noise, originating from the discrete nature of electric charge, is generated by scattering
processes. Shot-noise measurements have revealed microscopic charge dynamics in …

Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

R Kumar, SK Srivastav, C Spånslätt… - Nature …, 2022 - nature.com
The presence of “upstream” modes, moving against the direction of charge current flow in
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …

Many-body localization transition with power-law interactions: Statistics of eigenstates

KS Tikhonov, AD Mirlin - Physical Review B, 2018 - APS
We study spectral and wave-function statistics for many-body localization transition in
systems with long-range interactions decaying as 1/r α with an exponent α satisfying d≤ α≤ …

Local thermometry of neutral modes on the quantum Hall edge

V Venkatachalam, S Hart, L Pfeiffer, K West, A Yacoby - Nature Physics, 2012 - nature.com
Electrons in two dimensions and strong magnetic fields can form an insulating two-
dimensional system with conducting one-dimensional channels along the edge. Electron …

Thermal conductance of a single-electron transistor

B Dutta, JT Peltonen, DS Antonenko, M Meschke… - Physical review …, 2017 - APS
We report on combined measurements of heat and charge transport through a single-
electron transistor. The device acts as a heat switch actuated by the voltage applied on the …

Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes

R Bhattacharyya, M Banerjee, M Heiblum, D Mahalu… - Physical Review Letters, 2019 - APS
We attempted to measure interference of the outer edge mode in the fractional quantum hall
regime with an electronic Mach-zehnder interferometer. The visibility of the interferometer …

Heat conductance of the quantum Hall bulk

RA Melcer, A Gil, AK Paul, P Tiwari, V Umansky… - Nature, 2024 - nature.com
The quantum Hall effect is a prototypical realization of a topological state of matter. It
emerges from a subtle interplay between topology, interactions and disorder,,,,,,,–. The …

Quasiparticle Andreev scattering in the ν = 1/3 fractional quantum Hall regime

P Glidic, O Maillet, C Piquard, A Aassime… - nature …, 2023 - nature.com
The scattering of exotic quasiparticles may follow different rules than electrons. In the
fractional quantum Hall regime, a quantum point contact (QPC) provides a source of …

Edge reconstruction in fractional quantum Hall states

R Sabo, I Gurman, A Rosenblatt, F Lafont, D Banitt… - Nature Physics, 2017 - nature.com
The nature of edge reconstruction in the quantum Hall effect (QHE) and the issue of where
the current flows have been debated for years. Moreover, the recent observation of …