Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings

Abstract

We investigate the interplay between altermagnetic spin-splitting and nonsymmorphic symmetries using the space group no. 62 as a testbed. Studying different magnetic orders by means of first-principles calculations, we find that the altermagnetism (AM) is present in the C-type magnetic configuration while it is absent for the G-type and A-type configurations due to different magnetic space group types. The nonsymmorphic symmetries constrain the system to a four-fold degeneracy at the border of the Brillouin zone with semi-Dirac dispersion. In the case of large hybridization as for transition metal pnictides, the interplay between AM and nonsymmorphic symmetries generates an intricate network of several crossings and anticrossings that we describe in terms of semi-Dirac points and glide symmetries. When we add the spin-orbit coupling (SOC), we find a Neel-vector dependent spin-orbit splitting at the time-reversal invariant momenta points since the magnetic space groups depend on the Neel vector. The magnetic space group type-I produces antiferromagnetic hourglass electrons that disappear in the type-III. When the Neel vector is along x, we observe a glide-protected crossing that could generate a nodal-line in the altermagnetic phase. The SOC splits the remaining band crossings and band anticrossings producing a large anomalous Hall effect in all directions excluding the Neel-vector direction

References in corpus (10)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Superconductivity in the vicinity of antiferromagnetic order in CrAs
• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Pressure dependence of the magnetic order in CrAs: a neutron diffraction investigation
• Coupling charge and topological reconstructions at polar oxide interfaces
• First principles study of structural, magnetic and electronic properties of CrAs
• Spin-orbit coupling effects on the electronic properties of the pressure-induced superconductor CrAs
• Nonsaturating large magnetoresistance in the high carrier density nonsymmorphic metal CrP
• Low energy bands and transport properties of chromium arsenide
• Orbital order and ferromagnetism in LaMnO3 doped with Ga