Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices

Details Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices

2008-08-30

arxiv.org/abs/0809.0038v1

J. Phys.: Condens. Matter 22, 145301 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 6 figures

Scientific paper

10.1088/0953-8984/22/14/145301

We explore exchange coupling of a pair of spins in a double dot and in an optical lattice. Our algorithm uses the frequency of exchanges in a bosonic path integral, evaluated with Monte Carlo. This algorithm is simple enough to be a "black box" calculator, yet gives insights into the role of correlation through two-particle probability densities, visualization of instantons, and pair correlation functions. We map the problem to Hubbard model and see that exchange and correlation renormalize the effective parameters, dramatically lowering U at larger separations.

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