Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-07-02
Physical Review B 82, 134405 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 6 figures
Scientific paper
10.1103/PhysRevB.82.134405
A combined analytical and numerical study is performed of the mapping between strongly interacting fermions and weakly interacting spins, in the framework of the Hubbard, t-J and Heisenberg models. While for spatially homogeneous models in the thermodynamic limit the mapping is thoroughly understood, we here focus on aspects that become relevant in spatially inhomogeneous situations, such as the effect of boundaries, impurities, superlattices and interfaces. We consider parameter regimes that are relevant for traditional applications of these models, such as electrons in cuprates and manganites, and for more recent applications to atoms in optical lattices. The rate of the mapping as a function of the interaction strength is determined from the Bethe-Ansatz for infinite systems and from numerical diagonalization for finite systems. We show analytically that if translational symmetry is broken through the presence of impurities, the mapping persists and is, in a certain sense, as local as possible, provided the spin-spin interaction between two sites of the Heisenberg model is calculated from the harmonic mean of the onsite Coulomb interaction on adjacent sites of the Hubbard model. Numerical calculations corroborate these findings also in interfaces and superlattices, where analytical calculations are more complicated.
Capelle Klaus
França Vivian V.
No associations
LandOfFree
Effect of spatial inhomogeneity on the mapping between strongly interacting fermions and weakly interacting spins does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effect of spatial inhomogeneity on the mapping between strongly interacting fermions and weakly interacting spins, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of spatial inhomogeneity on the mapping between strongly interacting fermions and weakly interacting spins will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727564