scholarly journals Chiral and nonchiral edge states in quantum Hall systems with charge density modulation

2016 ◽  
Vol 93 (24) ◽  
Author(s):  
Paweł Szumniak ◽  
Jelena Klinovaja ◽  
Daniel Loss
Keyword(s):  
Charge Density ◽  
Quantum Hall ◽  
Edge States ◽  
Quantum Hall Systems ◽  
Density Modulation

scholarly journals DEFORMED FERMI SURFACE THEORY OF MAGNETO–ACOUSTIC RESPONSE IN MODULATED QUANTUM HALL SYSTEMS NEAR ν=1/2

1999 ◽  
Vol 13 (08) ◽  
pp. 859-868
Author(s):  
NATALIYA A. ZIMBOVSKAYA ◽  
JOSEPH L. BIRMAN
Keyword(s):  
Fermi Surface ◽  
Transport Theory ◽  
Quantum Hall ◽  
Generic Model ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Density Modulation ◽  
Dimensional Electron Gas

We develop a magneto-transport theory for the nonlocal response of a two-dimensional electron gas (2DEG) in the Fractional Quantum Hall Regime near ν=1/2 in the presence of a periodic density modulation. We introduce a new generic model of a deformed Composite Fermion–Fermi Surface (CF–FS). Our model permits us to explain recent surface acoustic wave observations of anisotropic anomalies1 in sound velocity and attenuation, such as appearance of peaks and anisotropy, which originate from contributions to the conductivity tensor due to regions of the CF–FS which are flattened by the applied modulation. The calculated magnetic field and wave vector dependence of the CF conductivity, velocity shift and attenuation agree with experiments.

Topological Aspects of Quantum Hall Fluid and Berry Phase

1998 ◽  
Vol 12 (26) ◽  
pp. 2649-2707 ◽  
Author(s):  
Banasri Basu ◽  
P. Bandyopadhyay
Keyword(s):  
Quantum Hall Effect ◽  
Berry Phase ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Chiral Anomaly ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Characteristic Features

We have analyzed here the recent development towards our understanding of the Integral and Fractional Quantum Hall effect. It has been pointed out that the chiral anomaly and Berry phase approach embraces in a unified way the whole spectrum of quantum Hall systems with their various characteristic features. This formalism also helps us to understand the edge states observed in Hall fluids. It is argued that Hall fluids with even denominator filling factor leads to the non-Abelian Berry phase.

Electron–Nuclear Spin Interaction in Edge States of Quantum Hall Systems

2003 ◽  
Vol 72 (Suppl.A) ◽  
pp. 44-48 ◽  
Author(s):  
Tomoki Machida ◽  
Tomoyuki Yamazaki ◽  
Susumu Ishizuka ◽  
Susumu Komiyama ◽  
Koji Muraki ◽  
...  
Keyword(s):  
Nuclear Spin ◽  
Quantum Hall ◽  
Spin Interaction ◽  
Edge States ◽  
Quantum Hall Systems

Spin-polarized edge states of quantum Hall systems on silicon basis

2006 ◽  
Vol 83 (4-9) ◽  
pp. 1753-1756 ◽  
Author(s):  
Carsten Kentsch ◽  
Wolfgang Henschel ◽  
David Wharam ◽  
Dieter P. Kern
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Quantum Hall Systems ◽  
Spin Polarized
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