scholarly journals Ferromagnetic Fractional Quantum Hall States in a Valley-Degenerate Two-Dimensional Electron System

2010 ◽  
Vol 104 (1) ◽  
Author(s):  
Medini Padmanabhan ◽  
T. Gokmen ◽  
M. Shayegan
Keyword(s):  
Quantum Hall ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Dimensional Electron System ◽  
Hall States

scholarly journals ON THE INTERACTION ENERGY OF TWO-DIMENSIONAL ELECTRON FQHE SYSTEMS WITHIN THE CHERN–SIMONS APPROACH

1999 ◽  
Vol 13 (17) ◽  
pp. 2263-2274
Author(s):  
PIOTR SITKO
Keyword(s):  
Interaction Energy ◽  
Quantum Hall ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Cyclotron Energy ◽  
Dimensional Electron System ◽  
Chern Simons

The interaction energy of the two-dimensional electron system in the region of fractional quantum Hall effect is considered within the Chern–Simons composite fermion approach. In the limit when Coulomb interaction is very small comparing to the cyclotron energy the RPA results are obtained for the fillings ν=1/3, 1/5, 2/3, 2/5, 3/7 and compared with the exact diagonalization results for small systems (extrapolated for infinite systems). They show very poor agreement suggesting the need for looking for alternative approaches.

scholarly journals COLLECTIVE EXCITATIONS OF DIRAC ELECTRONS IN GRAPHENE

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1165-1179 ◽  
Author(s):  
Vadim Apalkov ◽  
Xue-Feng Wang ◽  
Tapash Chakraborty
Keyword(s):  
Quantum Hall ◽  
Electron System ◽  
Plasmon Mode ◽  
Collective Excitations ◽  
Zero Field ◽  
Two Dimensional ◽  
Linear Dispersion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Dimensional Electron System

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence of an external magnetic field. Unlike in the conventional two-dimensional electron system, the [Formula: see text] fractional quantum Hall state in graphene was found to be most stable in the n = 1 Landau level. In the zero field case, but in the presence of the spin-orbit interaction, an undamped plasmon mode was found to exist in the gap of the single-particle continuum.

scholarly journals Particle-hole asymmetry of fractional quantum Hall states in the second Landau level of a two-dimensional hole system

2011 ◽  
Vol 83 (20) ◽  
Author(s):  
A. Kumar ◽  
N. Samkharadze ◽  
G. A. Csáthy ◽  
M. J. Manfra ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Two Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States
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