scholarly journals Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
Eun-Ah Kim ◽  
Michael J. Lawler ◽  
Smitha Vishveshwara ◽  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall

scholarly journals Fractional Charge of Quarks and Fractal Properties of Hadrons

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
A. Bhattacharya ◽  
◽  
S. Pal ◽  
D. S. Bhattacharya ◽  
P. Dhara ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Quantum Hall Effect ◽  
Fractal Structure ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Quasi Particle ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Fractal Properties

The origin of fractional charge of a quark is investigated considering the fractal structure of a hadron. Hadron is suggested to be a fractal object with fractal dimension 9/2. Describing quark as a quasiparticle in an analogy with quasi particle in Fractional Quantum Hall Effect, the filling factors are extracted which show large fractional plateau. It is suggested that quarks behave like quasi particles and the fractional charges of quarks can be attributed to the fractal behavior of a hadron.

scholarly journals A Josephson relation for fractionally charged anyons

Science ◽  
2019 ◽  
Vol 363 (6429) ◽  
pp. 846-849 ◽  
Author(s):  
M. Kapfer ◽  
P. Roulleau ◽  
M. Santin ◽  
I. Farrer ◽  
D. A. Ritchie ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Dynamical Property ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Fractional Quantum ◽  
Time Resolved ◽  
Quantum Phases ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Topological Quantum

Anyons occur in two-dimensional electron systems as excitations with fractional charge in the topologically ordered states of the fractional quantum Hall effect (FQHE). Their dynamics are of utmost importance for topological quantum phases and possible decoherence-free quantum information approaches, but observing these dynamics experimentally is challenging. Here, we report on a dynamical property of anyons: the long-predicted Josephson relation fJ = e*V/h for charges e* = e/3 and e/5, where e is the charge of the electron and h is Planck’s constant. The relation manifests itself as marked signatures in the dependence of photo-assisted shot noise (PASN) on voltage V when irradiating contacts at microwaves frequency fJ. The validation of FQHE PASN models indicates a path toward realizing time-resolved anyon sources based on levitons.

scholarly journals Noise measurements and fractional charge in fractional quantum Hall liquids

1999 ◽  
Vol 59 (19) ◽  
pp. 12521-12536 ◽  
Author(s):  
Nancy P. Sandler ◽  
Claudio de C. Chamon ◽  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Noise Measurements ◽  
Quantum Hall Liquids

scholarly journals Microscopic theory of fractional excitations in gapless quantum Hall states: semi-quantized quantum Hall states

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
oguz turker ◽  
Tobias Meng
Keyword(s):  
Quantum Hall ◽  
Microscopic Theory ◽  
Topological Phases ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Chern Simons ◽  
Liquid Physics ◽  
Hall States

We derive the low-energy theory of semi-quantized quantum Hall states, a recently observed class of gapless bilayer fractional quantum Hall states. Our theory shows these states to feature gapless quasiparticles of fractional charge coupled to an emergent Chern-Simons gauge field. These gapless quasiparticles can be understood as composites of electrons and Laughlin-like quasiparticles. We show that semi-quantized quantum Hall states exhibit perfect interlayer drag, host non-Fermi liquid physics, and serve as versatile parent states for fully gapped topological phases hosting anyonic excitations.

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