Simple fit to the ground-state energy of the two-dimensional electron gas in the fractional quantum Hall regime

1995 ◽  
Vol 51 (3) ◽  
pp. 1653-1657 ◽  
Author(s):  
M. W. C. Dharma-wardana
1990 ◽  
Vol 64 (20) ◽  
pp. 2434-2437 ◽  
Author(s):  
W. Chen ◽  
M. Fritze ◽  
A. V. Nurmikko ◽  
D. Ackley ◽  
C. Colvard ◽  
...  

1987 ◽  
Vol 102 ◽  
Author(s):  
J. E. Cunningham ◽  
G. L Timp ◽  
E. F. Schubert ◽  
W. T. Tsang ◽  
P. G. N. DeVegvar ◽  
...  

ABSTRACTWe report our recent investigations of a new structure formed by b-doping the barrier of an AlGaAs/GaAs heterostructure. In this new structure we have observed both a mobility of 1.9×lO6cm2/Vsec and the fractional quantum hall effect. We compare low temperature mobilities and densities achieved with the δ-doped heterostructure with corresponding high values reported in the literature for the homogeneously- doped heterostructure. We show that systematic enhancements in both density and mobility occur in the b-doped heterostructure. By δ-doping both barriers of a quantum well we have also achieved electron concentrations of 4×1012cm -2 in the well.


1996 ◽  
Vol 46 (S5) ◽  
pp. 2459-2460 ◽  
Author(s):  
A. M. C. Valkering ◽  
P. K. H. Sommerfeld ◽  
R. A. M. van de Ven ◽  
R. W. van der Heijden ◽  
F. A. P. Blom

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Hailong Fu ◽  
Yijia Wu ◽  
Ruoxi Zhang ◽  
Jian Sun ◽  
Pujia Shan ◽  
...  

Abstract Even-denominator fractional quantum Hall (FQH) states, such as 5/2 and 7/2, have been well known in a two-dimensional electron gas (2DEG) for decades and are still investigated as candidates of non-Abelian statistics. In this paper, we present the observation of a 3/2 FQH plateau in a single-layer 2DEG with lateral confinement at a bulk filling factor of 5/3. The 3/2 FQH plateau is quantized at $$\left( {\frac{h}{{e^2}}} \right)/\left( {\frac{3}{2}} \right)$$ h e 2 ∕ 3 2 within 0.02%, and can survive up to 300 mK. This even-denominator FQH plateau may imply intriguing edge structure and excitation in FQH system with lateral confinement. The observations in this work demonstrate that understanding the effect of the lateral confinement on the many-body system is critical in the pursuit of important theoretical proposals involving edge physics, such as the demonstration of non-Abelian statistics and the realization of braiding for fault-tolerant quantum computation.


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