Density Waves Instability and a Skyrmion Lattice on the Surface of Strong Topological Insulators

Abstract

In this work we analyze the instability conditions for spin-density-waves (SDW) formation on the surface of strong topological insulators. We find that for a certain range of Fermi-energies and strength of interactions the SDW state is favored compared to the unmagnetized and the uniform-magnetization states. We also find that the SDW are of spiral nature and for a certain range of parameters a Skyrmion-lattice may form on the surface. We show that this phase may have a non trivial Chern-number even in the absence of an external magnetic field.

arXiv comment6 pages, 7 figures

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• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Designer Meron Lattice on the Surface of a Topological Insulator
• Magic angle conditions for twisted 3D topological insulators
• Topological spin-plasma waves
• Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Transport of Dirac electrons in a random magnetic field in topological heterostructures
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces