Spin-orbit mediated anisotropic spin interaction in interacting electron systems

Abstract

We investigate interactions between spins of strongly correlated electrons subject to the spin-orbit interaction. Our main finding is that of a novel, spin-orbit mediated anisotropic spin-spin coupling of the van der Waals type. Unlike the standard exchange, this interaction does not require the wave functions to overlap. We argue that this ferromagnetic interaction is important in the Wigner crystal state where the exchange processes are severely suppressed. We also comment on the anisotropy of the exchange between spins mediated by the spin-orbital coupling.

4.1 pages, 1 figure; (v2) minor changes, published version

References in corpus (15)

• Coupled quantum dots as quantum gates
• Spin-orbit coupling effects on quantum transport in lateral semiconductor dots
• Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
• Anisotropic exchange interaction of localized conduction-band electrons in semiconductor structures
• Spin-Orbit Mediated Control of Spin Qubits
• Non-diffusive spin dynamics in a two-dimensional electron gas
• Exchange Frequencies in the 2d Wigner crystal
• Symmetry of anisotropic exchange interactions in semiconductor nanostructures
• Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
• Magnetic anisotropy and low-energy spin waves in the Dzyaloshinskii-Moriya spiral magnet Ba_2 Cu Ge_2 O_7
• Spin-spin coupling in electrostatically coupled quantum dots
• Spin relaxation and antisymmetric exchange in n-doped III-V semiconductor
• Exchange coupling in semiconductor nanostructures: Validity and limitations of the Heitler-London approach
• Exact asymptotic form of the exchange interactions between shallow centers in doped semiconductors
• Calculations of exchange interaction in impurity band of two-dimensional semiconductors with out of plane impurities

Cited by in corpus (23)

• Conductance of a helical edge liquid coupled to a magnetic impurity
• Spin-orbital effects in magnetized quantum wires and spin chains
• Quantum Spin Hall Effect in Strip of Stripes Model
• Magnetically Hidden Order of Kramers Doublets in $d^1$ Systems: Sr${}_2$VO${}_4$
• Electronic Liquid Crystalline Phases in a Spin-Orbit Coupled Two-Dimensional Electron Gas
• Theory of anisotropic exchange in laterally coupled quantum dots
• Tuning of the spin-orbit interaction in a quantum dot by an in-plane magnetic field
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Spin-orbit effect on electron-electron interaction and fine structure of electron complexes in quantum dots
• Spin polarization anisotropy in a narrow spin-orbit-coupled nanowire quantum dot
• Universal quantum computation with ordered spin-chain networks
• Coupled superconducting spin qubits with spin-orbit interaction
• Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
• Spin Manipulation and Relaxation in Spin-Orbit Qubits
• Anisotropic exchange coupling in a nanowire double quantum dot with strong spin-orbit coupling
• Wigner crystal of a two-dimensional electron gas with a strong spin-orbit interaction
• Fine structure of two-electron states in single and double quantum dots
• Electrical measurement of a two-electron spin state in a double quantum dot
• Time dependent configuration interaction simulations of spin swap in spin orbit coupled double quantum dots
• Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates
• Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction
• Spin-orbit coupling in quasi-one-dimensional Wigner crystals
• Cloaking the magnons