Helical Spin Order from Topological Dirac and Weyl Semimetals

Abstract

We study dynamical mass generation and the resultant helical spin orders in topological Dirac and Weyl semimetals, including the edge states of quantum spin Hall insulators, the surface states of weak topological insulators, and the bulk materials of Weyl semimetals. In particular, the helical spin textures of Weyl semimetals manifest the spin-momentum locking of Weyl fermions in a visible manner. The spin-wave fluctuations of the helical order carry electric charge density; therefore, the spin textures can be electrically controlled in a simple and predictable manner.

6 pages, 4 figures

References in corpus (25)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Field Theory of Time-Reversal Invariant Insulators
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
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• Emergence of the persistent spin helix in semiconductor quantum wells
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
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• Magnetotransport of single crystalline YSb
• Topological field theory and thermal responses of interacting topological superconductors
• Magnetotransport of single crystalline NbAs
• Topological Weyl Semi-metal from a Lattice Model
• Prediction of weak topological insulators in layered semiconductors
• Axion topological field theory of topological superconductors
• Chiral Magnetic Spiral
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
• Spin Susceptibility and Helical Magnetic Orders at the Edges/Surfaces of Topological Insulators Due to Fermi Surface Nesting

Cited by in corpus (25)

• Nodal-knot semimetals
• Ideal Weyl semimetals in the chalcopyrites CuTlSe2, AgTlTe2, AuTlTe2 and ZnPbAs2
• RKKY interaction of magnetic impurities in Dirac and Weyl semimetals
• Collective modes in nodal line semimetals
• Ferromagnetic Weyl Fermions in Two-Dimensional Layered Electride Gd${}_2$C
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Signature of chiral fermion instability in the Weyl semimetal TaAs above the quantum limit
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Towards the manipulation of topological states of matter: A perspective from electron transport
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Emerging Two-Dimensional Magnetism in Nonmagnetic Electrides Hf2X (X = S, Se, Te)
• Excitonic instability in optically-pumped three-dimensional Dirac materials
• Floquet and Anomalous Floquet Weyl Semimetals
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions
• Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
• Topological Fermi-arc surface state covered by floating electrons on a two-dimensional electride
• Magnetic-field-induced nonlinear transport in HfTe5
• Band manipulation and spin texture in interacting moiré helical edges
• Dynamical Gap Generation in Topological Insulators
• Antiferromagnetism and spin density waves in 3D Dirac semimetals
• Chiral anomaly in Weyl semimetals from spin current injection
• Crossover of spin Hall to quantum anomalous Hall effect in PbC/MnSe heterostructures
• Berry Phase origin of the planar spin Hall effect