Orbital Dzyaloshinskii-Moriya Exchange Interaction

Abstract

Superexchange calculation is performed for multi-orbital band models with broken inversion symmetry. Orbital-changing hopping terms allowed by the symmetry breaking electric field lead to a new kind of orbital exchange term closely resembling the Dzyaloshinskii-Moriya spin exchange. The final superexchange Hamiltonian in two dimensions is expressed in terms of Gell-Mann matrices that break down as three spin operators and five nematic (quadrupole) order operators. Mean-field phase diagram exhibits a rich structure including anti-ferro-orbital, ferro-orbital, and both single and multiple spiral-orbital phases. Superexchange calculation for spinful, two-orbital model also strongly suggests a robust chiral-orbital order in the ground state.

6 pages, 1 figure

References in corpus (4)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Detecting Chiral Orbital Angular Momentum by Circular Dichroism ARPES
• Spin and Orbital Angular Momentum Structures of Cu(111) and Au(111) Surface States

Cited by in corpus (5)

• Surface orbitronics: new twists from orbital Rashba physics
• Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
• Skyrmionic magnetization configurations at chiral magnet/ferromagnet heterostructures
• Realistic indirect spin-interactions between magnetic impurities on a metallic Pb(110) surface
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States