TY - JOUR

T1 - A path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices

A1 - Pedersen,Jesper Goor

A1 - Zhang,Lei

A1 - Gilbert,M.J.

A1 - Shumway,J.

AU - Pedersen,Jesper Goor

AU - Zhang,Lei

AU - Gilbert,M.J.

AU - Shumway,J.

PB - Institute of Physics Publishing

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 Monte Carlo 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 Monte Carlo 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

U2 - 10.1088/0953-8984/22/14/145301

DO - 10.1088/0953-8984/22/14/145301

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 14

VL - 22

SP - 145301

ER -