Non-linear Transport in Non-centrosymmetric Systems: From Fundamentals to Applications

Abstract

Ohm's law has been a cornerstone of electronics since its experimental discovery. This law establishes that in a conductive system, the voltage is directly proportional to the current. Even when time-reversal symmetry is disrupted, leading to the emergence of magnetoresistance and Hall effects, the linear relationship between voltage and current remains intact. However, recent experiments have demonstrated a breakdown of Ohm's law in non-centrosymmetric structures. In these systems, non-linear transport effects are permitted with quadratic scaling between voltages and currents. Here, we review the main demonstrations of non-linear transport in non-centrosymmetric systems, analyzing the connection between non-linear behavior and the system's symmetry. Additionally, we delve into the microscopic mechanisms driving these effects, such as Berry curvature dipole and Berry connection polarizability. Finally, we highlight potential applications of non-linear transport in spintronics and energy harvesting.

19 pages, 4 figures, 4 tables

References in corpus (52)

• Emergent Phenomena Induced by Spin-Orbit Coupling at Surfaces and Interfaces
• Realization of the field-free Josephson Diode
• Nonlinear Hall Effects
• Engineering symmetry breaking in two-dimensional layered materials
• 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
• Universal Josephson diode effect
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Recent progress and challenges in magnetic tunnel junctions with 2D materials for spintronic applications
• Gate-tuneable and chirality-dependent charge-to-spin conversion in Tellurium nanowires
• Topology and geometry under the nonlinear electromagnetic spotlight
• Multivariable Scaling for the Anomalous Hall Effect
• Electrical control of magnetism by electric field and current-induced torques
• Berry curvature dipole senses topological transition in a moiré superlattice
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Nonlinear planar Hall effect
• Quantum frequency doubling in the topological insulator Bi2Se3
• Quantum geometry induced nonlinear transport in altermagnets
• Giant $c$-axis nonlinear anomalous Hall effect in T${}_d$-MoTe${}_2$ and WTe${}_2$
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Strong electrical magneto-chiral anisotropy in tellurium
• All-Electrical Skyrmionic Bits in a Chiral Magnetic Tunnel Junction
• Nonlinear magnetotransport shaped by Fermi surface topology and convexity in WTe2
• Spin-charge interconversion in KTaO${}_3$ two-dimensional electron gases
• Strong Room-Temperature Bulk Nonlinear Hall Effect in a Spin-Valley Locked Dirac Material
• Control over Berry Curvature Dipole with Electric Field in WTe2
• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• Intrinsic Nonlinear Planar Hall Effect
• Determining the Rashba parameter from the bilinear magnetoresistance response in a two-dimensional electron gas
• Giant magnetochiral anisotropy from quantum confined surface states of topological insulator nanowires
• Orbital Origin of Intrinsic Planar Hall Effect
• Tunable room temperature nonlinear Hall effect from the surfaces of elementary bismuth thin films
• Anomalous skew-scattering nonlinear Hall effect and chiral photocurrents in {\it PT}-symmetric antiferromagnets
• Tunable Chirality-dependent Nonlinear Electrical Responses in 2D Tellurium
• Twist-angle tunable spin texture in WSe${}_2$/graphene van der Waals heterostructures
• Giant Magnetochiral Anisotropy in Weyl-semimetal WTe2 Induced by Diverging Berry Curvature
• On the separation of Hall and Ohmic nonlinear responses
• Quantum geometry quadrupole-induced third-order nonlinear transport in antiferromagnetic topological insulator MnBi2Te4
• Odd non-linear conductivity under spatial inversion in chiral Tellurium
• Angle-resolved transport nonreciprocity and spontaneous symmetry breaking in twisted trilayer graphene
• An antiferromagnetic diode effect in even-layered MnBi2Te4
• High-efficiency energy harvesting based on nonlinear Hall rectifier
• Equivalence of semiclassical and response theories for second-order nonlinear ac Hall effects
• Ferroic Berry Curvature Dipole in a Topological Crystalline Insulator at Room Temperature
• Quantum kinetic theory of quadratic responses
• Large nonlinear Hall effect and Berry curvature in KTaO3 based two-dimensional electron gas
• Nonlinear Hall Effect in Two-dimensional Materials
• Symmetry Origin and Microscopic Mechanism of Electrical Magnetochiral Anisotropy in Tellurium
• Anomalous Nonlinear Magnetoconductivity in van der Waals Magnet CrSBr
• Room Temperature Gate Tunable Non Reciprocal Charge Transport in Lattice Matched InSb/CdTe Heterostructures
• Nonlinear current response of two-dimensional systems under in-plane magnetic field

Cited by in corpus (9)

• Second-Order Conductivity Probes a Cascade of Singularities in a Moiré Superlattice
• Precise quantum-geometric electronic properties from first principles
• Measuring the Hall effect in hysteretic materials
• Nonlinear Odd Viscoelastic Effect
• Ultrafast non-thermal suppression of ferroelectricity by carrier screening in LiNbO3
• Weak localization and antilocalization corrections to nonlinear transport: a semiclassical Boltzmann treatment
• Quantum geometric map of magnetotransport
• Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology
• Second-Order Synaptic Memory using Inherent Plasticity of Moiré Superlattices