SO(8) fermion dynamical symmetry and quantum hall states for graphene in a strong magnetic field

2016 ◽  
Vol 65 (6-8) ◽  
pp. 1600057 ◽  
Author(s):  
Mike Guidry
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Quantum Hall ◽  
Dynamical Symmetry ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Fractional Quantum Hall States at Zero Magnetic Field

2011 ◽  
Vol 106 (23) ◽  
Author(s):  
Titus Neupert ◽  
Luiz Santos ◽  
Claudio Chamon ◽  
Christopher Mudry
Keyword(s):  
Magnetic Field ◽  
Quantum Hall ◽  
Zero Magnetic Field ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States

Magnetic-field-driven destruction of quantum Hall states in a double quantum well

1990 ◽  
Vol 64 (15) ◽  
pp. 1793-1796 ◽  
Author(s):  
G. S. Boebinger ◽  
H. W. Jiang ◽  
L. N. Pfeiffer ◽  
K. W. West
Keyword(s):  
Magnetic Field ◽  
Quantum Well ◽  
Quantum Hall ◽  
Double Quantum ◽  
Quantum Hall States ◽  
Double Quantum Well ◽  
Hall States

scholarly journals INTRINSIC QUASIPARTICLE’S SPIN AND FRACTIONAL QUANTUM HALL EFFECT ON RIEMANN SURFACES

1993 ◽  
Vol 07 (16) ◽  
pp. 1103-1110 ◽  
Author(s):  
DINGPING LI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Riemann Surfaces ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States

We derive the braid relations of the charged anyons interacting with a magnetic field on Riemann surfaces. The braid relations are used to calculate the quasiparticle’s spin in the fractional quantum Hall states on Riemann surfaces. The quasiparticle’s spin is found to be topologically independent and satisfies physical restrictions.

scholarly journals Evolution of the spin-split quantum Hall states with magnetic field tilt in the InAs-based double quantum wells

2009 ◽  
Vol 150 (2) ◽  
pp. 022100 ◽  
Author(s):  
M V Yakunin ◽  
Anne de Visser ◽  
Gianni Galistu ◽  
S M Podgornykh ◽  
Yu G Sadofyev ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Quantum Hall ◽  
Double Quantum ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Spin Polarization Curve of Fractional Quantum Hall States with Filling Factor Smaller than 2

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Shosuke Sasaki
Keyword(s):  
Magnetic Field ◽  
Spin Polarization ◽  
Filling Factor ◽  
Minimum Energy ◽  
Quantum Hall ◽  
Ground States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States

Kukushkin et al. have measured the electron spin polarization versus magnetic field in the fractional quantum Hall states. The polarization curves show wide plateaus and small shoulders. The 2D electron system is described by the total Hamiltonian (). Therein, is the sum of the Landau energies and classical Coulomb energies. is the residual interaction yielding Coulomb transitions. It is proven for any filling factor that the most uniform electron configuration in the Landau states is only one. The configuration has the minimum energy of . When the magnetic field is weak, some electrons have up-spins and the others down-spins. Then, there are many spin arrangements. These spin arrangements give the degenerate ground states of . We consider the partial Hamiltonian only between the ground states. The partial Hamiltonian yields the Peierls instability and is diagonalized exactly. The sum of the classical Coulomb and spin exchange energies has minimum for an interval modulation between Landau orbitals. Using the solution with the minimum energy, the spin polarization is calculated which reproduces the wide plateaus and small shoulders. The theoretical result is in good agreement with the experimental data.

scholarly journals Lattice symmetry and emergence of antiferromagnetic quantum Hall states

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Morad Ebrahimkhas ◽  
Mohsen Hafez-Torbati ◽  
Walter Hofstetter
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Lattice Symmetry ◽  
Hall States

scholarly journals Geometric entanglement in integer quantum Hall states

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Benoit Sirois ◽  
Lucie Maude Fournier ◽  
Julien Leduc ◽  
William Witczak-Krempa
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Integer Quantum ◽  
Hall States
Sign in / Sign up

Export Citation Format

Share Document