The helium atom in its ground state embedded in strong magnetic fields

1994 ◽  
Vol 51 (3) ◽  
pp. 135-140 ◽  
Author(s):  
J. F. Rivas-Silva
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.


1983 ◽  
Vol 50 (16) ◽  
pp. 1219-1222 ◽  
Author(s):  
D. Yoshioka ◽  
B. I. Halperin ◽  
P. A. Lee

1998 ◽  
Vol 57 (5) ◽  
pp. 3793-3800 ◽  
Author(s):  
M. V. Ivanov ◽  
P. Schmelcher

2009 ◽  
Vol 23 (07) ◽  
pp. 891-902
Author(s):  
E. V. GORBAR ◽  
V. P. GUSYNIN ◽  
V. A. MIRANSKY

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.


1999 ◽  
Vol 60 (5) ◽  
pp. 3558-3568 ◽  
Author(s):  
M. V. Ivanov ◽  
P. Schmelcher

1977 ◽  
Vol 215 ◽  
pp. 291 ◽  
Author(s):  
E. G. Flowers ◽  
M. A. Ruderman ◽  
J.-F. Lee ◽  
P. G. Sutherland ◽  
W. Hillebrandt ◽  
...  

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