Tunable band topology and optical conductivity in altermagnets

Abstract

We study two-dimensional $d$-wave altermagnetic metals taking into account the presence of substrate-induced Rashba spin-orbit coupling. We consider the altermagnet bandstructure using a 2D band Hamiltonian near the $\Gamma$ point under external magnetic field. It is shown that time-reversal-symmetry breaking due to altermagnetism, together with Rashba coupling and external magnetic field, can result in non-trivial band topology. The topological phases can be tuned by magnetic field strength and directions, and are classified by their Chern numbers. Furthermore, we investigate the charge response by computing the full optical conductivity tensor with and without magnetic field. In particular, we focus on magneto-optical responses, which are the finite-frequency analog of the Berry curvature-induced anomalous Hall conductivity. Finally, using experimentally realistic parameters for RuO${}_2$, we estimate the Faraday angle in the absence of magnetic fields.

12 pages, 10 figures

References in corpus (16)

• Colloquium: Quantum anomalous Hall effect
• Broken Kramers' degeneracy in altermagnetic MnTe
• Direct observation of altermagnetic band splitting in CrSb thin films
• Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Crystal Thermal Transport in Altermagnetic RuO2
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Landau Theory of Altermagnetism
• X-ray Magnetic Circular Dichroism in Altermagnetic $\alpha$-MnTe
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
• Self impedance matched Hall-effect gyrators and circulators

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• Superconducting phenomena in systems with unconventional magnets
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• Anisotropic light-tailored RKKY interaction in two-dimensional $d$-wave altermagnets
• Tuning of altermagnetism by strain
• Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling
• Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector
• Dynamical Generation of Higher-order Spin-Orbit Couplings, Topology and Persistent Spin Texture in Light-Irradiated Altermagnets
• Out-of-plane Edelstein effects: Electric-field induced magnetization in $p$-wave magnets
• Spin and pair density waves in 2D altermagnetic metals
• Quantum geometry and elliptic optical dichroism in $p$-wave magnets
• Light-induced odd-parity altermagnets on dimerized lattices
• Spin relaxation and transport behaviors in altermagnetic systems
• Exploration of Altermagnetism in $\mathrm{Ru}{\mathrm{O}}_2$
• Anomalous Spectroscopical Effects in an Antiferromagnetic Semiconductor
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Altermagnetism and Anomalous Transport in Ag${}^{2+}$ Fluorides: KAgF${}_3$ and K${}_2$AgF${}_4$
• AC conductivity and magnetic dichroism of two-dimensional antiferromagnetic Dirac semimetals
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Phonon-enhanced optical spin-conductivity and spin-splitter effect in altermagnets
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model