Fluxoid quantization in quantum dots with Landau level edge states

1995 ◽  
Vol 10 (10) ◽  
pp. 1315-1322 ◽  
Author(s):  
A Kristensen ◽  
C J Kennedy ◽  
P E Lindelof ◽  
M Persson
1991 ◽  
Vol 05 (03) ◽  
pp. 509-527 ◽  
Author(s):  
MICHAEL STONE

The edge states of the quantum Hall effect carry representations of chiral current algebras and their associated groups. In the simplest case of a single filled Landau level, I demonstrate explicitly how the group action affects the many-body states, and why the Kac-Peterson cocycle appears in the group multiplication law. I show how these representations may be used to construct vertex operators which create localised edge excitations, and indicate how they are related to the bulk quasi-particles.


MRS Bulletin ◽  
2001 ◽  
Vol 26 (12) ◽  
pp. 998-1004 ◽  
Author(s):  
Victor I. Klimov ◽  
Moungi G. Bawendi

Semiconductor materials are widely used in both optically and electrically pumped lasers. The use of semiconductor quantum wells (QWs) as optical-gain media has resulted in important advances in laser technology. QWs have a two-dimensional, step-like density of electronic states that is nonzero at the band edge, enabling a higher concentration of carriers to contribute to the band-edge emission and leading to a reduced lasing threshold, improved temperature stability, and a narrower emission line. A further enhancement in the density of the band-edge states and an associated reduction in the lasing threshold are in principle possible using quantum wires and quantum dots (QDs), in which the confinement is in two and three dimensions, respectively. In very small dots, the spacing of the electronic states is much greater than the available thermal energy (strong confinement), inhibiting thermal depopulation of the lowest electronic states. This effect should result in a lasing threshold that is temperatureinsensitive at an excitation level of only 1 electron-hole (e-h) pair per dot on average. Additionally, QDs in the strongconfinement regime have an emission wavelength that is a pronounced function of size, adding the advantage of continuous spectral tunability over a wide energy range simply by changing the size of the dots.


2003 ◽  
Vol 19 (1-2) ◽  
pp. 197-201
Author(s):  
R. Akis ◽  
A. Ramamoorthy ◽  
J.P. Bird ◽  
T. Maemoto ◽  
D.K. Ferry ◽  
...  

2004 ◽  
Vol 22 (1-3) ◽  
pp. 506-509 ◽  
Author(s):  
M Russ ◽  
A Lorke ◽  
D Reuter ◽  
P Schafmeister

2019 ◽  
Vol 5 (9) ◽  
pp. eaaw8693 ◽  
Author(s):  
Andrew Seredinski ◽  
Anne W. Draelos ◽  
Ethan G. Arnault ◽  
Ming-Tso Wei ◽  
Hengming Li ◽  
...  

We present a study of a graphene-based Josephson junction with dedicated side gates carved from the same sheet of graphene as the junction itself. These side gates are highly efficient and allow us to modulate carrier density along either edge of the junction in a wide range. In particular, in magnetic fields in the 1- to 2-T range, we are able to populate the next Landau level, resulting in Hall plateaus with conductance that differs from the bulk filling factor. When counter-propagating quantum Hall edge states are introduced along either edge, we observe a supercurrent localized along that edge of the junction. Here, we study these supercurrents as a function of magnetic field and carrier density.


1997 ◽  
Vol 71 (16) ◽  
pp. 2316-2318 ◽  
Author(s):  
S. Nomura ◽  
L. Samuelson ◽  
M.-E. Pistol ◽  
K. Uchida ◽  
N. Miura ◽  
...  

1993 ◽  
Vol 08 (14) ◽  
pp. 1297-1303 ◽  
Author(s):  
YUN SOO MYUNG

We construct the wave functions for the edge states of a droplet of quantum Hall effect by performing the Gupta-Bleuler quantization of a chiral boson. These wave functions describe the chiral edge states of a many-electron system in the lowest Landau level. This demonstrates a crucial connection between the particle and condensed matter physics.


2016 ◽  
Vol 18 (30) ◽  
pp. 20466-20475 ◽  
Author(s):  
Saurabh Chauhan ◽  
David F. Watson

CdSe QDs transfer electrons from band-edge and surface states to TiO2; core/shell CdSe/ZnS QDs transfer electrons exclusively from band-edge states.


2010 ◽  
Vol 82 (4) ◽  
Author(s):  
M. Wimmer ◽  
A. R. Akhmerov ◽  
F. Guinea

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