Spin Susceptibility and Helical Magnetic Orders at the Edges/Surfaces of Topological Insulators Due to Fermi Surface Nesting

Abstract

We study spin susceptibility and magnetic order at the edges/surfaces of two-dimensional and three-dimensional topological insulators when the Fermi surface is nested. We find that due to spin-momentum locking as well as time-reversal symmetry, spin susceptibility at the nesting wavevector has a strong {\em helical} feature. It follows then, a {\em helical} spin density wave (SDW) state emerges at low temperature due to Fermi surface nesting. The helical feature of spin susceptibility also has profound impact on the magnetic order in magnetically doped surface of three dimensional topological insulators. In such system, from the mean field Zener theory, we predict a {\em helical} magnetic order.

arXiv commentsubmitted to Phys. Rev. B

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• Helical edge states coupled to a spin bath: Current-induced magnetization
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Models of three-dimensional fractional topological insulators
• Helical Spin Order from Topological Dirac and Weyl Semimetals
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• Spin textures of strongly correlated spin Hall quantum dots
• Designer Meron Lattice on the Surface of a Topological Insulator
• Non-Contact Spin Pumping by Microwave Evanescent Fields
• Gapless Topological Superconductors - Model Hamiltonian and Realization
• Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
• Density Waves Instability and a Skyrmion Lattice on the Surface of Strong Topological Insulators
• Temperature Induced Spin Density Wave in Magnetic Doped Topological Insulators
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Dynamical spin susceptibility of spin-valley half-metal
• The effect of magnetic impurity scattering on transport in topological insulators
• Excitonic collective modes in Weyl semi-metals
• Nematic order on the surface of a three-dimensional topological insulator
• Manipulation of photonic topological edge and corner states via trivial claddings
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulator