Spin-orbit coupling and magnetic interactions in Si(111):{C,Si,Sn,Pb}

Abstract

We study the magnetic properties of the adatom systems on a semiconductor surface Si(111):\{C,Si,Sn,Pb\} - ($\sqrt{3}\times \sqrt{3}$). On the basis of all-electron density functional theory calculations we construct effective low-energy models taking into account spin-orbit coupling and electronic correlations. In the ground state the surface nanostructures are found to be insulators with the non-collinear 120${}^{\circ }$ Néel (for C, Si, Sn monolayer coverages) and 120${}^{\circ }$ row-wise (for Pb adatom) antiferromagnetic orderings. The corresponding spin Hamiltonians with anisotropic exchange interactions are derived by means of the superexchange theory and the calculated Dzyaloshinskii-Moriya interactions are revealed to be very strong and compatible with the isotropic exchange couplings in the systems with Sn and Pb adatoms. To simulate the excited magnetic states we solve the constructed spin models by means of the Monte Carlo method. At low temperatures and zero magnetic field we observe complex spin spiral patterns in Sn/Si(111) and Pb/Si(111). On this basis the formation of antiferromagnetic skyrmion lattice states in adatom $sp$ electron systems in strong magnetic fields is discussed.

arXiv comment10 pages

References in corpus (24)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Maximally-localized generalized Wannier functions for composite energy bands
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Maximally-localized Wannier functions for entangled energy bands
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• Orbital magnetization in periodic insulators
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Long-range Coulomb interactions in surface systems: a first principles description within self-consistently combined GW and dynamical mean field theory
• Combining DFT and Many-Body Methods to Understand Correlated Materials
• First-principles theory of the orbital magnetization
• Triangular Mott-Hubbard Insulator Phases of Sn/Si(111) and Sn/Ge(111) Surfaces
• Triangular Spin-Orbit-Coupled Lattice with Strong Coulomb Correlations: Sn Atoms on a SiC(0001) Substrate
• Orbital magnetization of insulating perovskite transition-metal oxides with the net ferromagnetic moment in the ground state
• What about U on Surfaces? - Extended Hubbard Models for Adatom Systems from First Principles
• Realistic modeling of the electronic structure and the effect of correlations for Sn/Si(111) and Sn/Ge(111) surfaces
• First-principles study of the magnetic ground state in kagome francisites Cu3Bi(SeO3)2O2X (X=Cl, Br)
• Uncertainty principle for experimental measurements: Fast versus slow probes
• Magnetic Dirac Fermions and Chern Insulator Supported on Pristine Silicon Surface
• Ferrimagnetic Slater Insulator Phase of the Sn/Ge(111) Surface
• Hybridization and spin-orbit coupling effects in quasi-one-dimensional spin-1/2 magnet Ba3Cu3Sc4O12

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