Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators

Abstract

We demonstrate that introducing altermagnetism on the surface of a weak topological insulator (TI) results in the emergence of a single massless Dirac fermion, exhibiting a parity anomaly. To explore the transport properties induced by this parity anomaly, we propose an effective two-dimensional (2D) lattice model to describe the weak TI surface. This model captures both the energy spectrum and spin texture of the weak TI surface while reducing computational complexity. We show that the weak TI surface hosts a half-integer chiral edge current under the influence of altermagnetism. Additionally, in the presence of decoherence, the Hall conductance attains a half-quantized value. Layer-resolved calculations from a 3D slab model further confirm that surface altermagnetism drives the surface Hall conductance to transition to $e^2/2h$, aligning with calculation from the 2D effective lattice model. Our findings establish a link between altermagnetism and quantum anomalies, positioning weak TIs as a potential platform for investigating the parity anomaly without a net magnetic moment.

References in corpus (49)

• Topological insulators and superconductors
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Photonics
• Topological Field Theory of Time-Reversal Invariant Insulators
• Experimental realisation of the topological Haldane model
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Observation of topological valley transport of sound in sonic crystals
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Light-induced anomalous Hall effect in graphene
• Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
• Direct observation of altermagnetic band splitting in CrSb thin films
• Majorana Fermions and Topology in Superconductors
• Prediction of unconventional magnetism in doped FeSb2
• Experimental Realization of Acoustic Chern Insulator
• Mapping topological order in coordinate space
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Axion Electrodynamics in Topological Materials
• dc Josephson Effect in Altermagnets
• Discovery of switchable weak topological insulator state in quasi-one-dimensional bismuth iodide
• Surfaces of Axion Insulators
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Topological field theory and thermal responses of interacting topological superconductors
• Altermagnetic superconducting diode effect
• Observation of an unpaired photonic Dirac point
• Observation and control of the weak topological insulator state in ZrTe5
• Creation and Manipulation of Higher-Order Topological States by Altermagnets
• Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators
• Influence of dephasing process on the quantum Hall effect and the spin Hall effect
• Field-free Josephson diode effect in altermagnet/normal metal/altermagnet junctions
• Superconductor-altermagnet memory functionality without stray fields
• Half-Quantized Hall Effect and Power Law Decay of Edge Current Distribution
• Two-Dimensional Lattice Model for the Surface States of Topological Insulators
• Stepwise quantized surface states and delayed Landau level hybridization in Co cluster-decorated BiSbTeSe2 topological insulator devices
• Survival of the quantum anomalous Hall effect in orbital magnetic fields as a consequence of the parity anomaly
• Transport Theory of Half-quantized Hall Conductance in a Semi-magnetic Topological Insulator
• Half-Quantized Hall Effect at the Parity-Invariant Fermi Surface
• Geometric and nongeometric contributions to the surface anomalous Hall conductivity
• Towards Layer-Selective Quantum Spin Hall Channels in Weak Topological Insulator Bi4Br2I2
• Half-Quantized Helical Hinge Currents in Axion Insulators
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• A note on the parity anomaly from the Hamiltonian point of view
• Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field
• Quarter-quantized thermal Hall effect with parity anomaly
• Dirac fermion duality and the parity anomaly
• A robust weak topological insulator in a bismuth halide Bi4Br2I2
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators

Cited by in corpus (15)

• Superconducting phenomena in systems with unconventional magnets
• Tunneling Magnetoresistance Effect in Altermagnets
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• Model Hamiltonian for Altermagnetic Topological Insulators
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Helical Fermi Arc in Altermagnetic Weyl Semimetal
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors
• Current switching behavior mediated via hinge modes in higher-order topological phases using altermagnets
• Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism
• Spin transport in a normal meta-altermagnetic superconducting nanowire junction
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Quantum anomalous Hall effect in chiral semimetals