Magnetic anisotropies and general on--site Coulomb interactions in the cuprates

Abstract

This paper derives the anisotropic superexchange interactions from a Hubbard model for excitations within the copper 3d band and the oxygen 2p band of the undoped insulating cuprates. We extend the recent calculation of Yildirim et al. [Phys. Rev. B {\bf VV}, pp, 1995] in order to include the most general on--site Coulomb interactions (including those which involve more than two orbitals) when two holes occupy the same site. Our general results apply when the oxygen ions surrounding the copper ions form an octahedron which has tetragonal symmetry (but may be rotated as in lanthanum cuprate). For the tetragonal cuprates we obtain an easy--plane anisotropy in good agreement with experimental values. We predict the magnitude of the small in--plane aniso

25 pages, revtex

References in corpus (2)

• Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions
• Spin-Orbit Scattering and Pair Breaking in a Structurally Disordered Copper-Oxide Layer

Cited by in corpus (10)

• Unusual Symmetries in the Kugel-Khomskii Hamiltonian
• Strong anisotropy of superexchange in the copper-oxygen chains of La_{14-x}Ca_{x}Cu_{24}O_{41}
• Anisotropic superexchange of a 90 degree Cu-O-Cu bond
• Spin Hamiltonian of Hyperkagome Na4Ir3O8
• Quantum Fluctuations in the Frustrated Antiferromagnet Sr_2Cu_3O_4Cl_2
• Quantum Phase Transition in Pr2CuO4 to Collinear Spin State in Inclined Magnetic Field: A Neutron Diffraction Observation
• Direct Observation of the Quantum Energy Gap in S = 1/2 Tetragonal Cuprate Antiferromagnets
• Magnetic field effects and magnetic anisotropy in lightly doped La_{2-x}Sr_xCuO_4
• Quantum dots with two electrons: Singlet-triplet transitions
• Incommensurate spin density wave as a signature of spin-orbit coupling