scholarly journals Spin and the Coulomb gap in the half-filled lowest Landau level

2016 ◽  
Vol 94 (12) ◽  
Author(s):  
J. P. Eisenstein ◽  
T. Khaire ◽  
D. Nandi ◽  
A. D. K. Finck ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Landau Level ◽  
Coulomb Gap ◽  
Lowest Landau Level

scholarly journals COULOMB GAP IN THE QUANTUM HALL INSULATOR

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1369-1372 ◽  
Author(s):  
MICHAEL BACKHAUS ◽  
BODO HUCKESTEIN
Keyword(s):  
Filling Factor ◽  
Particle Density ◽  
Quantum Hall ◽  
Correct Treatment ◽  
Coulomb Gap ◽  
Hartree Fock ◽  
Strong Disorder ◽  
Single Particle Density ◽  
Lowest Landau Level ◽  
Classical Point

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to the correct treatment of the q=0 component of the Coulomb interaction. For sufficiently strong disorder, the system is an insulator at this filling factor. We observe numerically a Coulomb gap in the single-particle density of states (DOS). The DOS agrees quantitatively with the predictions for classical point charges.

scholarly journals 3DXYand Lowest Landau Level Fluctuations in DeoxygenatedYBa2Cu3O7−δThin Films

1997 ◽  
Vol 78 (16) ◽  
pp. 3173-3176 ◽  
Author(s):  
Katerina Moloni ◽  
Mark Friesen ◽  
Shi Li ◽  
Victor Souw ◽  
P. Metcalf ◽  
...  
Keyword(s):  
Landau Level ◽  
Lowest Landau Level

scholarly journals Quantum and classical localization in the lowest Landau level

2003 ◽  
Vol 68 (20) ◽  
Author(s):  
Nancy Sandler ◽  
Hamid R. Maei ◽  
Jané Kondev
Keyword(s):  
Landau Level ◽  
Lowest Landau Level ◽  
Classical Localization

Transport properties of a two-dimensional electron system at even-denominator fillings of the lowest Landau level

1992 ◽  
Vol 46 (16) ◽  
pp. 10468-10471 ◽  
Author(s):  
H. W. Jiang ◽  
L. W. Engel ◽  
D. C. Tsui ◽  
H. L. Stormer ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Transport Properties ◽  
Landau Level ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Lowest Landau Level ◽  
Dimensional Electron System

Coupling of Surface and Lowest Landau Level States in a Rectangular Graphene Dot

2011 ◽  
Vol 11 (1) ◽  
pp. 629-631
Author(s):  
P. S. Park ◽  
S. C. Kim ◽  
S.-R. Eric Yang
Keyword(s):  
Landau Level ◽  
Lowest Landau Level

scholarly journals Growth of Sobolev norms for coupled lowest Landau level equations

2021 ◽  
Vol 3 (1) ◽  
pp. 189-222
Author(s):  
Valentin Schwinte ◽  
Laurent Thomann
Keyword(s):  
Landau Level ◽  
Lowest Landau Level ◽  
Sobolev Norms

scholarly journals THE HYDRODYNAMICAL LIMIT OF QUANTUM HALL SYSTEM

2001 ◽  
Vol 15 (19n20) ◽  
pp. 2771-2781 ◽  
Author(s):  
D. SREEDHAR BABU ◽  
R. SHANKAR ◽  
M. SIVAKUMAR
Keyword(s):  
Landau Level ◽  
Small Amplitude ◽  
Quantum Hall ◽  
Collective Excitations ◽  
Current Form ◽  
Long Wavelength ◽  
Lowest Landau Level ◽  
Hydrodynamical Limit ◽  
Quantum Hall System ◽  
A Current

We study the current algebra of FQHE systems in the hydrodynamical limit of small amplitude, long-wavelength fluctuations. We show that the algebra simplifies considerably in this limit. The Hamiltonian is expressed in a current–current form and the operators creating inter-Landau level and lowest Landau level collective excitations are identified.

scholarly journals 1-Loop mass generation by a constant external magnetic field for an electron propagating in a thin medium

2018 ◽  
Vol 32 (10) ◽  
pp. 1850114
Author(s):  
B. Machet
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Landau Level ◽  
Mass Formula ◽  
Mass Shell ◽  
Mass Generation ◽  
Self Energy ◽  
Lowest Landau Level ◽  
Dirac Electron ◽  
Constant External Magnetic Field

The 1-loop self-energy of a Dirac electron of mass [Formula: see text] propagating in a thin medium simulating graphene in an external magnetic field [Formula: see text] is investigated in quantum field theory. Equivalence is shown with the so-called reduced QED[Formula: see text] on a 2-brane. Schwinger-like methods are used to calculate the self-mass [Formula: see text] of the electron when it lies in the lowest Landau level. Unlike in standard QED[Formula: see text], it does not vanish at the limit [Formula: see text]: [Formula: see text] on-mass-shell renormalization conditions (with [Formula: see text]); all Landau levels of the virtual electron are taken into account and are implemented. Restricting to the sole lowest Landau level of the virtual electron is explicitly shown to be inadequate. Resummations at higher orders lie beyond the scope of this work.

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