TY - JOUR
T1 - A path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices
AU - Pedersen, Jesper Goor
AU - Zhang, Lei
AU - Gilbert, M. J.
AU - Shumway, J.
PY - 2010
Y1 - 2010
N2 - We explore exchange coupling of a pair of spins in a double dot and in an optical lattice, using the frequency of exchanges in a bosonic path integral, evaluated using MonteCarlo simulation. The algorithm gives insights into the role of correlation through visualization of two-particle probability densities, instantons, and the correlation hole. We map the problem to the Hubbard model and see that exchange and correlation renormalize the model parameters, dramatically reducing the effective on-site repulsion at larger separations.
AB - We explore exchange coupling of a pair of spins in a double dot and in an optical lattice, using the frequency of exchanges in a bosonic path integral, evaluated using MonteCarlo simulation. The algorithm gives insights into the role of correlation through visualization of two-particle probability densities, instantons, and the correlation hole. We map the problem to the Hubbard model and see that exchange and correlation renormalize the model parameters, dramatically reducing the effective on-site repulsion at larger separations.
UR - http://www.scopus.com/inward/record.url?scp=77950249802&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950249802&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/22/14/145301
DO - 10.1088/0953-8984/22/14/145301
M3 - Article
C2 - 21389524
AN - SCOPUS:77950249802
SN - 0953-8984
VL - 22
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
IS - 14
M1 - 145301
ER -