Fractional Quantum Statistics in Two-Dimensional Systems

Author(s):  
Yong-Shi WU
2013 ◽  
Vol 3 ◽  
pp. 87-88
Author(s):  
Laxmi Nath Bhattarai

Graphene is a two dimensional one atom thick allotrope of Carbon. Electrons in grapheme behave as massless relativistic particles. It is a 2 dimensional nanomaterial with many peculiar properties. In grapheme both integral and fractional quantum Hall effects are observed. Many practical application are seen from use of Graphene material.The Himalayan PhysicsVol. 3, No. 3, July 2012Page: 87-88


1992 ◽  
Vol 173 (1) ◽  
pp. 271-280 ◽  
Author(s):  
N. J. Pulsford ◽  
I. V. Kukushkin ◽  
P. Hawrylak ◽  
K. Ploog ◽  
R. J. Haug ◽  
...  

1996 ◽  
Vol 54 (8) ◽  
pp. R5259-R5262 ◽  
Author(s):  
A. R. Hamilton ◽  
M. Y. Simmons ◽  
F. M. Bolton ◽  
N. K. Patel ◽  
I. S. Millard ◽  
...  

1992 ◽  
Vol 263 (1-3) ◽  
pp. 81-86 ◽  
Author(s):  
A.G. Davies ◽  
R. Newbury ◽  
M. Pepper ◽  
J.E.F. Frost ◽  
D.A. Ritchie ◽  
...  

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
J. Naji ◽  
S. Heydari ◽  
R. Darabi

We consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the system.


2021 ◽  
Vol 2015 (1) ◽  
pp. 012127
Author(s):  
A D Rozenblit ◽  
N A Olekhno ◽  
A A Dmitriev ◽  
P S Seregin ◽  
M A Gorlach

Abstract Recent advances in two-particle topological quantum states demonstrate resilience to geometrical imperfections and hold perspectives for robust quantum computations. In this context, particles with fractional quantum statistics, the so-called anyons, attract especial attention. In particular, topological edge states of anyon pairs in one-dimensional chains of coupled cavities were recently predicted to demonstrate localization at one or another edge of the array depending on details of the quantum statistics. In this paper, propose an equivalent electric circuit serving as a classical emulator of such topological states. Detailed numerical studies of resonances in the circuit fully support theoretical predictions, pointing towards future experimental realizations of anyonic states analogs in electrical circuits.


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