scholarly journals Drive dependence of the Hall angle for a sliding Wigner crystal in a magnetic field

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
C. Reichhardt ◽  
C. J. O. Reichhardt
Keyword(s):  
Magnetic Field ◽  
Wigner Crystal ◽  
Hall Angle

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.

Edge reconstruction and edge melting of the two-dimensional Wigner crystal in a strong magnetic field

1992 ◽  
Vol 69 (5) ◽  
pp. 816-819 ◽  
Author(s):  
H. A. Fertig ◽  
R. Côté ◽  
A. H. MacDonald ◽  
S. Das Sarma
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Wigner Crystal ◽  
Two Dimensional ◽  
Edge Reconstruction

Nonlinear conductivity of a Wigner crystal in a strong magnetic field

1994 ◽  
Vol 72 (14) ◽  
pp. 2255-2258 ◽  
Author(s):  
Xuejun Zhu ◽  
P. B. Littlewood ◽  
A. J. Millis
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Wigner Crystal ◽  
Nonlinear Conductivity

Studies of microwave resonance in high magnetic field Wigner crystal regime of 2D hole systems in heterostructures

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-215-Pr10-218
Author(s):  
C.-C. Li ◽  
L. W. Engel ◽  
J. Yoon ◽  
D. C. Tsui ◽  
M. Shayegan
Keyword(s):  
Magnetic Field ◽  
High Magnetic Field ◽  
Wigner Crystal ◽  
Microwave Resonance

scholarly journals Laughlin-Jastrow-correlated Wigner crystal in a strong magnetic field

1998 ◽  
Vol 58 (7) ◽  
pp. 4019-4027 ◽  
Author(s):  
Hangmo Yi ◽  
H. A. Fertig
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Wigner Crystal

scholarly journals EXCHANGE FREQUENCIES IN THE 2D WIGNER CRYSTAL

2003 ◽  
Vol 17 (28) ◽  
pp. 4965-4974 ◽  
Author(s):  
B. BERNU ◽  
P. GIANINETTI ◽  
LADIR CÂNDIDO ◽  
D. M. CEPERLEY
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Path Integral ◽  
Ground State ◽  
Spin Exchange ◽  
Wigner Crystal ◽  
Spin Liquid ◽  
Low Density ◽  
Spin Hamiltonian ◽  
Path Integral Monte Carlo

Path Integral Monte Carlo is used to calculate exchange frequencies as electrons undergo ring exchanges in a "clean" 2d Wigner crystal as a function of density. Agreement with WKB calculations is found at very low density, but the results show an enhanced increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2d3 He . Using the resulting multi-spin exchange model we find the spin Hamiltonian for rs ≥ 175 ± 10 is a frustrated antiferromagnetic, with a spin liquid ground state. For lower density the ground state will be ferromagnetic. Some effects of a magnetic field are presented.

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