Weyl semimetal phase in solid-solution narrow-gap semiconductors

Abstract

We theoretically investigate ferromagnetic ordering in magnetically doped solid-solution narrow-gap semiconductors with the strong spin-orbit interaction such as Cr-doped Bi${}_2$(Se${}_x$Te${}_{1-x}$)${}_3$. We compute the spontaneous magnetization of impurities and itinerant electrons, and estimate the critical temperature as a function of the concentration of magnetic dopants and the strength of the spin-orbit interaction. It is found that the critical temperature is proportional to the concentration of dopants and enhanced with the strong spin-orbit interaction. It is also found that the ferromagnetic transition could make the system turn to the Weyl semimetal which possesses a pair of Weyl points separating in the momentum space.

5 pages, 5 figures

References in corpus (5)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Theory of ferromagnetic (III,Mn)V semiconductors
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Surface magnetic ordering in topological insulators with bulk magnetic dopants

Cited by in corpus (28)

• Magnetic susceptibility in three-dimensional nodal semimetals
• Crossed surface flat bands of Weyl semimetal superconductors
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Domain wall of a ferromagnet on a three-dimensional topological insulator
• Theory for spin torque in Weyl semimetal with magnetic texture
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Voltage-driven magnetization switching and spin pumping in Weyl semimetals
• Spin textures and spin-wave excitations in doped Dirac-Weyl semimetals
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Stability of Multinode Dirac Semimetals against Strong Long-Range Correlations
• Localized charge in various configurations of magnetic domain wall in Weyl semimetal
• Helicity-protected domain-wall magnetoresistance in ferromagnetic Weyl semimetal
• Charge-Induced Spin Torque in Anomalous Hall Ferromagnets
• Spin susceptibility of three-dimensional Dirac semimetals
• Anisotropic magnetotransport in Dirac-Weyl magnetic junctions
• Emergence of inductance and capacitance from topological electromagnetism
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Diluted magnetic Dirac-Weyl materials: Susceptibility and ferromagnetism in three-dimensional chiral gapless semimetals
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Phase diagram of a magnetic topological nodal semimetal: Stable nodal line in an easy-plane ferromagnet
• Electric polarization in magnetic topological nodal semimetal thin films
• Quantum Anomalous Hall Effect in Three-dimensional Topological Insulator/Thin-film Ferromagnetic Metal Bilayer Structure
• Topology-insensitive axion mass in magnetic topological insulators
• Collective excitations in magnetic topological insulators and axion dark matter search
• Theoretical analysis of anisotropic upper critical field of superconductivity in nodal-line semimetals
• Microscopic theory of electrically induced spin torques in magnetic Weyl semimetals