Quantum metric non-linear Hall effect in an antiferromagnetic topological insulator thin-film EuSn2As2

Abstract

The quantum geometric structure of electrons introduces fundamental insights into understanding quantum effects in materials. One notable manifestation is the non-linear Hall effect (NLHE), which has drawn considerable interest for its potential to overcome the intrinsic limitations of semiconductor diodes at low input power and high frequency. In this study, we investigate NLHE stemming from the real part of the quantum geometric tensor, specifically the quantum metric, in an antiferromagnetic topological material, EuSn2As2, using density functional theory. Our calculations predict a remarkable NLHE arising from a symmetry-protected, single Type-II surface Dirac cone in the even-numbered-layer two-dimensional slab thin-film, yielding a non-linear Hall conductivity exceeding 20 mA/V2-an order of magnitude larger than previously reported. This single Dirac band dispersion represents the simplest model for generating NLHE, positioning the EuSn2As2 thin-film as a hydrogen atom for NLHE systems. Additionally, we observe NLHE from band-edge states near the Fermi level. Our findings also reveal that 30% phosphorus (P) doping can double the non-linear Hall conductivity. With its substantial and tunable NLHE, EuSn2As2 thin-films present promising applications in antiferromagnetic spintronics and rectification devices.

References in corpus (16)

• Maximally-localized generalized Wannier functions for composite energy bands
• Anomalous Hall effect
• Antiferromagnetic spintronics
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Arc-tunable Weyl Fermion metallic state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Room temperature nonlinear Hall effect and wireless RF rectification in Weyl semimetal TaIrTe4
• High-frequency rectification via chiral Bloch electrons
• Berry curvature dipole senses topological transition in a moiré superlattice
• Electrically induced and detected Néel vector reversal in a collinear antiferromagnet
• Current-polarity dependent manipulation of antiferromagnetic domains
• Quantum geometry induced nonlinear transport in altermagnets
• Microscopic mechanism for intrinsic nonlinear anomalous Hall conductivity in noncollinear antiferromagnetic metals
• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Discovery of a magnetic Dirac system with large intrinsic non-linear Hall effect
• Quantum kinetic theory of quadratic responses