Nonlinear Hall Effects induced by Berry Curvature Dipole in CuPb${}_9$(PO${}_4$)${}_6$O

Abstract

The nonlinear Hall effect (NLHE), an emergent response in systems with broken inversion symmetry, provides a powerful tool for probing topological transport properties. In this context, we investigate copper-substituted lead apatite (LK-99), a material that initially garnered attention for its controversial claim of room-temperature superconductivity. Despite the unresolved nature of its superconducting properties, LK-99's unique electronic structure characterized by flat bands near the Fermi level and broken inversion symmetry makes it a promising candidate for exploring Berry curvature-driven phenomena, such as the NLHE. Using first-principles density functional theory and an augmented tight-binding Hamiltonian model, we investigate LK-99's band topology and transport properties. Our calculations indicate that spin-orbit coupling in LK-99 generates multiple Weyl points near the Fermi level, thereby enhancing the Berry curvature distribution by further splitting the bands. Crucially, the absence of inversion symmetry in LK-99 leads to a net Berry curvature dipole, producing a nonlinear Hall current that scales quadratically with the applied electric field. The nonlinear Hall effect is solely due to the BCD, as the contributions from the Drude weight and quantum metric are zero due to time reversal symmetry. Moreover, we demonstrate that the NLHE in LK-99 can be tuned by varying the direction of the applied electric field, underscoring its potential as a versatile platform for exploring topological transport phenomena and designing next-generation nonlinear electronic devices.

In this new version we have added new results of non linear hall conductivity contributed from Berry Curvature Dipole

References in corpus (27)

• Nonlinear Hall Effects
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Room temperature nonlinear Hall effect and wireless RF rectification in Weyl semimetal TaIrTe4
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• High performance Wannier interpolation of Berry curvature and related quantities: WannierBerri code
• Quantum geometry induced nonlinear transport in altermagnets
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Control over Berry Curvature Dipole with Electric Field in WTe2
• Non-linear Hall Effects: Mechanisms and Materials
• Ferromagnetic half levitation of LK-99-like synthetic samples
• Superionic phase transition of copper(I) sulfide and its implication for purported superconductivity of LK-99
• Synthesis of possible room temperature superconductor LK-99:Pb${}_9$Cu(PO${}_4$)${}_6$O
• First order transition in Pb${}_{10-x}$Cu${}_x$(PO${}_4$)${}_6$O ($0.9<x<1.1$) containing Cu${}_2$S
• Semiconducting transport in Pb${}_{10-x}$Cu${}_x$(PO${}_4$)${}_6$O sintered from Pb${}_2$SO${}_5$ and Cu${}_3$P
• Berry curvature dipole and nonlinear Hall effect in two-dimensional Nb${}_{2n+1}$Si${}_n$Te${}_{4n+2}$
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• On the dynamical stability of copper-doped lead apatite
• Phase Stability of Lead Phosphate Apatite Pb${}_{10-x}$Cu${}_x$(PO${}_4$)${}_6$O, Pb${}_{10-x}$Cu${}_x$(PO${}_4$)${}_6$(OH)${}_2$, and Pb${}_8$Cu${}_2$(PO${}_4$)${}_6$
• Nonlinear Hall Effect in Two-dimensional Materials
• Electronic Structure and Vibrational Stability of Copper-substituted Lead Apatite (LK-99)
• Pressure-induced creation and annihilation of Weyl points in Td- and 1T"-Mo0.5W0.5Te2
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Implications of the electron-phonon coupling in CuPb${}_9$(PO${}_4$)${}_6$O for superconductivity: an \textit{ab initio} study
• Berry curvature and quantum metric in copper-substituted lead phosphate apatite