Spin Hall conductivity in topological Dirac semimetals

Abstract

We theoretically investigate the spin Hall conductivity (SHC) in topological Dirac semimetals (TDSMs) whose Dirac points are protected by rotational symmetry. On the basis of a general phase diagram of the system with time-reversal, inversion and four-fold rotational symmetries, we reveal that the SHC is sensitive to the phase to which the system belong. The phase and the SHC are characterized by the mirror Chern numbers and the presence or absence of gapless bulk Dirac points. It is also found that the representative TDSM Cd${}_3$As${}_2$ supports a large and negative SHC ${\sigma }_{xy}^z\sim -10^4(\hslash /e)(\Omega .\text{m}{)}^{-1}$. The principle behind the dependency of SHC on the phase diagram is also explained.

arXiv comment12 pages, 6 figures

References in corpus (18)

• Anomalous Hall effect
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Electromagnetic Response of Weyl Semimetals
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Indication of intrinsic spin Hall effect in 4d and 5d transition metals
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Cd3As2 is Centrosymmetric
• Quantum Hall states observed in thin films of Dirac semimetal Cd3As2
• Topological superconductivity in Dirac semimetals
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Z_2 and Chiral Anomalies in Topological Dirac Semimetals
• Superconductivity in doped Dirac semimetals
• Strain-induced nonlinear spin Hall effect in topological Dirac semimetal

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• Long-range spin transport on the surface of topological Dirac semimetal
• Microscopic theory of spin Nernst effect
• Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Intrinsic spin Nernst effect in topological Dirac and magnetic Weyl semimetals
• Tunable spin-charge conversion in class-I topological Dirac semimetals