scholarly journals Ground State, Isoelectronic Ions and Low-Lying Excited States of Lithium Atom in Strong Magnetic Field

2021 ◽  
Vol 11 (03) ◽  
pp. 37-51
Author(s):  
Khadija Abdelhassan Kharroube
1997 ◽  
Vol 56 (4) ◽  
pp. R2510-R2513 ◽  
Author(s):  
Yu. P. Kravchenko ◽  
M. A. Liberman

1983 ◽  
Vol 28 (1) ◽  
pp. 7-21 ◽  
Author(s):  
J. B. Delos ◽  
S. K. Knudson ◽  
D. W. Noid

1991 ◽  
Vol 05 (10) ◽  
pp. 1725-1729
Author(s):  
F. C. Zhang ◽  
M. Ma

Ideal anyons with statistics ν in a strong magnetic field are studied by means of a similarity transformation. The ground state exhibits "integer" quantum Hall effect at filling factor 1/ν with quasiparticle excitations of charge q/ν and statistics -1/ν. Certain electron FQH states can be considered as realization of this, for example, the sequence 2/5, 3/7, … hierarchy of the 1/3 state. This may explain the observed quasiparticle-quasihole asymmetry in the fractional quantum Hall hierarchy.


2012 ◽  
Vol 57 (6) ◽  
pp. 1059-1065
Author(s):  
Li-Bo Zhao ◽  
B.C. Saha ◽  
Meng-Li Du

1993 ◽  
Vol 46 (3) ◽  
pp. 345 ◽  
Author(s):  
AH MacDonald ◽  
SR Eric Yang ◽  
MD Johnson

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.


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