scholarly journals Collective excitations of quantum Hall states under tilted magnetic field

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Kang Yang ◽  
Mark O. Goerbig ◽  
Benoît Douçot
2011 ◽  
Vol 106 (23) ◽  
Author(s):  
Titus Neupert ◽  
Luiz Santos ◽  
Claudio Chamon ◽  
Christopher Mudry

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2808-2812
Author(s):  
D. R. LUHMAN ◽  
W. PAN ◽  
T. M. LU ◽  
D. C. TSUI ◽  
L. N. PFEIFFER ◽  
...  

We report the results of tilted magnetic field experiments on three high quality wide GaAs quantum wells, with particular emphasis on the N ≥ 1 Landau levels. With an increasing component of in-plane magnetic field, B∥, we observe reentrant behavior for the odd filling factor quantum Hall states. This reentrance is not explained within a single-particle energy level crossing scheme and may be related to the collapse of interlayer tunneling.


1990 ◽  
Vol 64 (15) ◽  
pp. 1793-1796 ◽  
Author(s):  
G. S. Boebinger ◽  
H. W. Jiang ◽  
L. N. Pfeiffer ◽  
K. W. West

1993 ◽  
Vol 07 (16) ◽  
pp. 1103-1110 ◽  
Author(s):  
DINGPING LI

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.


2009 ◽  
Vol 150 (2) ◽  
pp. 022100 ◽  
Author(s):  
M V Yakunin ◽  
Anne de Visser ◽  
Gianni Galistu ◽  
S M Podgornykh ◽  
Yu G Sadofyev ◽  
...  

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Shosuke Sasaki

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.


2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Morad Ebrahimkhas ◽  
Mohsen Hafez-Torbati ◽  
Walter Hofstetter

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Benoit Sirois ◽  
Lucie Maude Fournier ◽  
Julien Leduc ◽  
William Witczak-Krempa

Sign in / Sign up

Export Citation Format

Share Document