scholarly journals Ground state of the polaron hydrogenic atom in a strong magnetic field

2021 ◽  
Vol 62 (3) ◽  
pp. 031901
Author(s):  
Rohan Ghanta
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Ground State ◽  
Hydrogenic Atom

Ground state of the hydrogen molecule in a strong magnetic field

1997 ◽  
Vol 56 (4) ◽  
pp. R2510-R2513 ◽  
Author(s):  
Yu. P. Kravchenko ◽  
M. A. Liberman
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Ground State ◽  
Hydrogen Molecule

Incompressible Quantum Fluids of Ideal Anyons in a Strong Magnetic Field

1991 ◽  
Vol 05 (10) ◽  
pp. 1725-1729
Author(s):  
F. C. Zhang ◽  
M. Ma
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Ground State ◽  
Similarity Transformation ◽  
Quantum Hall ◽  
Quantum Fluids ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum

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.

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.

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