Physics – Condensed Matter
Scientific paper
1995-03-29
Physics
Condensed Matter
50 pages, ILATEX Version 2.09 <13 Jun 1989>
Scientific paper
10.1103/PhysRevB.52.10239
This paper contains the details of Phys. Rev. Lett. 73, 2919 (1994) and, to a lesser extent, Phys. Rev. Lett. 72, 3710 (1994). We treat a Hubbard model which includes all the 3d states of the Cu ions and the 2p states of the O ions. We also include spin-orbit interactions, hopping between ground and excited crystal field states of the Cu ions, and rather general Coulomb interactions. Our analytic results for the spin Hamiltonian, H, are corroborated by numerical evaluations of the energy splitting of the ground manifold for two holes on either a pair of Cu ions or a Cu-O-Cu complex. In the tetragonal symmetry case and for the model considered, we prove that H is rotationally invariant in the absence of Coulomb exchange. When Coulomb exchange is present, each bond Hamiltonian has full biaxial anisotropy, as expected for this symmetry. For lower symmetry situations, the single bond spin Hamiltonian is anisotropic at order t**6 for constant U and at order t**2 for nonconstant U. (Constant U means that the Coulomb interaction between orbitals does not depend on which orbitals are involved.)
Aharony Amnon
Entin-Wohlman Ora
Harris Brooks A.
Yildirim Taner
No associations
LandOfFree
Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions 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 Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-175597