scholarly journals Magnetic-Field-Induced Phase Transition and a Possible Quantum Hall Effect in the Quasi-One-Dimensional CDW Organic Conductor HMTSF-TCNQ

2014 ◽  
Vol 05 (08) ◽  
pp. 673-679 ◽  
Author(s):  
Keizo Murata ◽  
Yuhei Fukumoto ◽  
Keiichi Yokogawa ◽  
Woun Kang ◽  
Ryo Takaoka ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Organic Conductor ◽  
One Dimensional

Possible quantum Hall effect in a magnetic-field-induced phase transition in the quasi-one-dimensional CDW organic conductor, HMTSF–TCNQ

2015 ◽  
Vol 460 ◽  
pp. 241-244 ◽  
Author(s):  
Keizo Murata ◽  
Yuhei Fukumoto ◽  
Keiichi Yokogawa ◽  
Woun Kang ◽  
Ryo Takaoka ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Organic Conductor ◽  
One Dimensional

scholarly journals The quantum Hall effect in the absence of disorder

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Kyung-Su Kim ◽  
Steven A. Kivelson
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Finite Interval ◽  
Quantum Hall ◽  
Wigner Crystal ◽  
Quasi Particle ◽  
Hall Conductance ◽  
Finite Extent

AbstractIt is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.

CHIRAL ANOMALY IN EUCLIDEAN (2+1)-DIMENSIONAL SPACE AND AN APPLICATION TO THE QUANTUM HALL EFFECT

2008 ◽  
Vol 22 (17) ◽  
pp. 2675-2689 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Magnetic Field ◽  
Dirac Equation ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Zero Mode ◽  
Dimensional Space ◽  
Quantum Hall ◽  
Chiral Anomaly ◽  
Regularization Procedure ◽  
Chiral Transformation

The chiral anomaly in (2+1)-dimensions and its relationship to the zero mode of the Dirac equation in the massless case is studied. Solutions are obtained for the Dirac equation under a vector potential which generates a constant magnetic field. It is shown that there is an anomaly term associated with the corresponding chiral transformation. It can be calculated by using the regularization procedure of Fujikawa. The results are applied to the quantum Hall effect.

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