scholarly journals Erratum: Vikas, B. M. Deb: Ground-state electronic energies and densities of atomic systems in strong magnetic fields through a time-dependent hydrodynamical equation

2007 ◽  
Vol 108 (4) ◽  
pp. 820-820 ◽  
Author(s):  
B. M. Deb
Keyword(s):  
Magnetic Fields ◽  
Ground State ◽  
Time Dependent ◽  
Hydrodynamical Equation ◽  
Strong Magnetic Fields ◽  
Atomic Systems

scholarly journals Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet

1993 ◽  
Vol 46 (3) ◽  
pp. 345 ◽  
Author(s):  
AH MacDonald ◽  
SR Eric Yang ◽  
MD Johnson
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Strong Magnetic Field ◽  
Ground State ◽  
Slater Determinant ◽  
Pauli Exclusion Principle ◽  
Maximum Density ◽  
Exclusion Principle ◽  
Strong Magnetic Fields ◽  
Electron Interactions

In this article we discuss the ground state of a parabolically confined quantum dot in the limit of very strong magnetic fields where the electron system is completely spin-polarised and all electrons are in the lowest Landau level. Without electron-electron interactions the ground state is a single Slater determinant corresponding to a droplet centred on the minimum of the confinement potential and occupying the minimum area allowed by the Pauli exclusion principle. Electron-electron interactions favour droplets of larger area. We derive exact criteria for the stability of the maximum density droplet against edge excitations and against the introduction of holes in the interior of the droplet. The possibility of obtaining exact results in the strong magnetic field case is related to important simplifications associated with broken time-reversal symmetry in a strong magnetic field.

scholarly journals Ground state of the lithium atom in strong magnetic fields

1998 ◽  
Vol 57 (5) ◽  
pp. 3793-3800 ◽  
Author(s):  
M. V. Ivanov ◽  
P. Schmelcher
Keyword(s):  
Magnetic Fields ◽  
Ground State ◽  
Lithium Atom ◽  
Strong Magnetic Fields

DYNAMICAL GAPS AND QUANTUM HALL EFFECT IN GRAPHENE

2009 ◽  
Vol 23 (07) ◽  
pp. 891-902
Author(s):  
E. V. GORBAR ◽  
V. P. GUSYNIN ◽  
V. A. MIRANSKY
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Ground State ◽  
Quantum Hall ◽  
Low Energy ◽  
Strong Magnetic Fields ◽  
Gap Equation ◽  
Magnetic Catalysis

We analyze the gap equation for Dirac quasiparticles in graphene in a magnetic field using a low-energy effective model with a contact interaction. It is found that the order parameters connected with the quantum Hall (QH) ferromagnetism and the magnetic catalysis scenarios necessarily coexist. The ground-state solutions of the gap equation describe all the recently discovered novel QH plateaus in graphene in strong magnetic fields.

scholarly journals Ground state of the carbon atom in strong magnetic fields

1999 ◽  
Vol 60 (5) ◽  
pp. 3558-3568 ◽  
Author(s):  
M. V. Ivanov ◽  
P. Schmelcher
Keyword(s):  
Carbon Atom ◽  
Magnetic Fields ◽  
Ground State ◽  
Strong Magnetic Fields
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