scholarly journals Integer quantum Hall conductivity and longitudinal conductivity in silicene under the electric field and magnetic field

2019 ◽  
Vol 92 (2) ◽  
Author(s):  
Chen-Huan Wu
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Quantum Hall ◽  
Hall Conductivity ◽  
Longitudinal Conductivity ◽  
Integer Quantum

Incompressible Quantum Fluids of Ideal Anyons in a Strong Magnetic Field

1991 ◽  
Vol 05 (10) ◽  
pp. 1725-1729
Author(s):  
F. C. Zhang ◽  
M. Ma
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Ground State ◽  
Similarity Transformation ◽  
Quantum Hall ◽  
Quantum Fluids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum

Ideal anyons with statistics ν in a strong magnetic field are studied by means of a similarity transformation. The ground state exhibits "integer" quantum Hall effect at filling factor 1/ν with quasiparticle excitations of charge q/ν and statistics -1/ν. Certain electron FQH states can be considered as realization of this, for example, the sequence 2/5, 3/7, … hierarchy of the 1/3 state. This may explain the observed quasiparticle-quasihole asymmetry in the fractional quantum Hall hierarchy.

FURTHER EVIDENCE FOR A COLLAPSE OF THE EXCHANGE-ENHANCED SPIN SPLITTING IN TWO DIMENSIONAL SYSTEMS

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3597-3602 ◽  
Author(s):  
B. A. PIOT ◽  
D. K. MAUDE ◽  
Z. R. WASILEWSKI ◽  
K. J. FRIEDLAND ◽  
R. HEY ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Quantum Hall Effect ◽  
Good Description ◽  
Quantum Hall ◽  
Exchange Interactions ◽  
Spin Splitting ◽  
Spin Gap ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum

The collapse of spin splitting in the integer quantum Hall effect is investigated for a series of Al x Ga 1-x As / GaAs heterojunctions and quantum wells. Magnetoresistance measurements are performed at mK temperature, and a simple model is developed to simulate spin splitting. As expected a single-electron picture cannot reproduce the observed spin splitting, whereas a phenomenological enhanced-spin gap taking into account exchange interactions between electrons provides a good description. The phenomenological spin gap, which is linear in B at high magnetic field, collapses when the spin splitting collapses. This is consistent with previously proposed disorder-driven destruction of exchange interactions with decreasing magnetic field.

RELATIVISTIC QUANTUM HALL CONDUCTIVITY FOR 3D AND 2D ELECTRON PLASMA IN AN EXTERNAL MAGNETIC FIELD

1990 ◽  
Vol 04 (17) ◽  
pp. 1103-1109 ◽  
Author(s):  
R. GONZALEZ FELIPE ◽  
A. PEREZ MARTINEZ ◽  
H. PEREZ-ROJAS
Keyword(s):  
Magnetic Field ◽  
Chemical Potential ◽  
Relativistic Quantum ◽  
Electron Gas ◽  
Quantum Hall ◽  
Electron Plasma ◽  
Hall Conductivity ◽  
Zero Temperature ◽  
Static Limit ◽  
Simple Hypothesis

The complete antisymmetric form of the conductivity tensor in the static limit, as well as the expression for the Hall conductivity, is obtained for the relativistic 3D and 2D electron gas in a magnetic field. The non-relativistic 2D limit is also discussed. The typical step form of the 2D Hall conductivity at zero temperature is obtained under the simple hypothesis of constancy of the chemical potential.

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