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.

arXiv comment12 pages, 10 figures

References in corpus (33)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Crystal Hall effect in Collinear Antiferromagnets
• Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
• Giant momentum-dependent spin splitting in centrosymmetric low Z antiferromagnets
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
• Colloquium: Quantum anomalous Hall effect
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Broken Kramers' degeneracy in altermagnetic MnTe
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• 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
• Prediction of unconventional magnetism in doped FeSb2
• 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
• Magneto-Optical Faraday and Kerr Effects in Topological Insulator Films and in Other Layered Quantized Hall Systems
• Landau Theory of Altermagnetism
• Two-dimensional Weyl Half Semimetal and Tunable Quantum Anomalous Hall Effect in Monolayer PtCl${}_3$
• 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
• Electrically Controllable Crystal Chirality Magneto-Optical Effects in Collinear Antiferromagnets
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• On-Chip Microwave Quantum Hall Circulator
• Hall Effect Gyrators and Circulators
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
• Zero-field Edge Magnetoplasmons in a Magnetic Topological Insulator
• Self impedance matched Hall-effect gyrators and circulators

Cited by in corpus (26)

• Topological Weyl Altermagnetism in CrSb
• Superconducting phenomena in systems with unconventional magnets
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Pair Density Waves and Supercurrent Diode Effect in Altermagnets
• 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
• Spin and pair density waves in 2D altermagnetic metals
• Out-of-plane Edelstein effects: Electric-field induced magnetization in $p$-wave magnets
• Light-induced odd-parity altermagnets on dimerized lattices
• Quantum geometry and elliptic optical dichroism in $p$-wave magnets
• 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
• Magnetization-free quantum anomalous Hall effect in altermagnetic weak topological insulators
• Altermagnetism and Anomalous Transport in Ag${}^{2+}$ Fluorides: KAgF${}_3$ and K${}_2$AgF${}_4$
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• AC conductivity and magnetic dichroism of two-dimensional antiferromagnetic Dirac semimetals
• Phonon-enhanced optical spin-conductivity and spin-splitter effect in altermagnets
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model