scholarly journals Semiclassics in the lowest Landau band

2002 ◽  
Vol 43 (3) ◽  
pp. 1185-1210
Author(s):  
Christian Hainzl
Keyword(s):  
Landau Band

Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions

1994 ◽  
Vol 47 (4) ◽  
pp. 513-591 ◽  
Author(s):  
Elliott H. Lieb ◽  
Jan Philip Solovej ◽  
Jakob Yngvason
Keyword(s):  
Magnetic Fields ◽  
High Magnetic Fields ◽  
Heavy Atoms ◽  
Landau Band

Magnetoresistance oscillations in a periodic magnetic field due to internal Landau band structure

2002 ◽  
Vol 12 (1-4) ◽  
pp. 212-215
Author(s):  
K.W. Edmonds ◽  
B.L. Gallagher ◽  
P.C. Main ◽  
A. Nogaret ◽  
M. Henini ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Band Structure ◽  
Periodic Magnetic Field ◽  
Magnetoresistance Oscillations ◽  
Landau Band

Generalized gauge invariance and the integer quantum Hall effect

1991 ◽  
Vol 432 (1884) ◽  
pp. 43-54 ◽  
Keyword(s):  
Quantum Hall Effect ◽  
Gauge Invariance ◽  
Periodic Potential ◽  
Quantum Hall ◽  
Winding Number ◽  
Hall Conductance ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Landau Band ◽  
Invariance Argument

Generalizing a simple gauge-invariance argument, we introduce a k -space vector potential A k which allows us to obtain explicitly the identification of the Hall conductance with the quantized phase winding number of the wave function around the Brillouin zone. We also demonstrate, based on these winding number considerations alone, that a weak periodic potential which splits each Landau band into non-degenerate subbands results in Hall conductances which sum to unity, and satisfy a Diophantine equation.

scholarly journals Spectral statistics in the lowest Landau band

1995 ◽  
Vol 52 (11) ◽  
pp. 8400-8406 ◽  
Author(s):  
Mario Feingold ◽  
Yshai Avishai ◽  
Richard Berkovits
Keyword(s):  
Spectral Statistics ◽  
Landau Band

scholarly journals Possible existence of a band of extended states induced by inter-Landau-band mixing in a quantum Hall system

2006 ◽  
Vol 18 (6) ◽  
pp. 2029-2055 ◽  
Author(s):  
Gang Xiong ◽  
Shi-Dong Wang ◽  
Qian Niu ◽  
Yupeng Wang ◽  
X C Xie ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Band Mixing ◽  
Extended States ◽  
Quantum Hall System ◽  
Landau Band

Interplay of Landau band width and band separation in a square lateral superlattice

1996 ◽  
Vol 361-362 ◽  
pp. 847-850 ◽  
Author(s):  
T. Schlösser ◽  
K. Ensslin ◽  
J.P. Kotthaus ◽  
M. Holland
Keyword(s):  
Band Width ◽  
Band Separation ◽  
Landau Band

scholarly journals Enhanced Fluctuations of the Tunneling Density of States near the Bottom of a Landau Band Measured by a Local Spectrometer

2000 ◽  
Vol 84 (7) ◽  
pp. 1563-1566 ◽  
Author(s):  
J. P. Holder ◽  
A. K. Savchenko ◽  
Vladimir I. Fal'ko ◽  
B. Jouault ◽  
G. Faini ◽  
...  
Keyword(s):  
Density Of States ◽  
Landau Band
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