scholarly journals Spin exchange in quantum rings and wires in the Wigner-crystal limit

2005 ◽  
Vol 18 (1) ◽  
pp. L7-L13 ◽  
Author(s):  
Michael M Fogler ◽  
Eugene Pivovarov
Keyword(s):  
Spin Exchange ◽  
Wigner Crystal ◽  
Quantum Rings

Multiple-spin exchange in a two-dimensional Wigner crystal

2000 ◽  
Vol 62 (4) ◽  
pp. 2573-2580 ◽  
Author(s):  
Masafumi Katano ◽  
D. S. Hirashima
Keyword(s):  
Spin Exchange ◽  
Wigner Crystal ◽  
Two Dimensional

scholarly journals EXCHANGE FREQUENCIES IN THE 2D WIGNER CRYSTAL

2003 ◽  
Vol 17 (28) ◽  
pp. 4965-4974 ◽  
Author(s):  
B. BERNU ◽  
P. GIANINETTI ◽  
LADIR CÂNDIDO ◽  
D. M. CEPERLEY
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Path Integral ◽  
Ground State ◽  
Spin Exchange ◽  
Wigner Crystal ◽  
Spin Liquid ◽  
Low Density ◽  
Spin Hamiltonian ◽  
Path Integral Monte Carlo

Path Integral Monte Carlo is used to calculate exchange frequencies as electrons undergo ring exchanges in a "clean" 2d Wigner crystal as a function of density. Agreement with WKB calculations is found at very low density, but the results show an enhanced increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2d3 He . Using the resulting multi-spin exchange model we find the spin Hamiltonian for rs ≥ 175 ± 10 is a frustrated antiferromagnetic, with a spin liquid ground state. For lower density the ground state will be ferromagnetic. Some effects of a magnetic field are presented.

Multiple-spin exchange in a two-dimensional Wigner crystal

2001 ◽  
Vol 10 (1-3) ◽  
pp. 117-119 ◽  
Author(s):  
Dai Hirashima ◽  
Katsunori Kubo ◽  
Masafumi Katano
Keyword(s):  
Spin Exchange ◽  
Wigner Crystal ◽  
Two Dimensional

Spin exchange, past, present and future

1985 ◽  
Vol 10 (6) ◽  
pp. 645-657 ◽  
Author(s):  
W. Happer
Keyword(s):  
Spin Exchange
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