Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes

Abstract

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by Td-symmetry. This interaction, until recently believed to be negligible, reflects inversion symmetry breaking and in two dimensions results in an electric-field dependent correction to the in-plane g-factor. The effect can be observed in state-of-the-art heterostructures, either via magnetic doping or by using a vector magnet, where even for small perpendicular magnetic fields it is comparable in magnitude to topological materials.

References in corpus (16)

• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Nonreciprocal Transmission of Microwave Acoustic Waves in Nonlinear Parity-Time Symmetric Resonators
• Cubic Rashba spin-orbit interaction of two-dimensional hole gas in strained-Ge/SiGe quantum well
• Heavy hole states in Germanium hut wires
• Hole spin qubits in Si FinFETs with fully tunable spin-orbit coupling and sweet spots for charge noise
• Spin Orientation of Holes in Quantum Wells
• Valley polarization induced second harmonic generation in graphene
• Anisotropic Pauli Spin Blockade of Holes in a GaAs Double Quantum Dot
• Resonant photovoltaic effect in doped magnetic semiconductors
• Anisotropic Pauli spin blockade in hole quantum dots
• Dimensional reduction of the Luttinger Hamiltonian and g-factors of holes in symmetric two-dimensional semiconductor heterostructures
• Highly tuneable hole quantum dots in Ge-Si core-shell nanowires
• Generalized Bloch theorem and topological characterization
• Pseudospin-electric coupling for holes beyond the envelope-function approximation
• Magnetotransport properties of two-dimensional fermions with $k$-cubic Rashba spin-orbit interaction
• Spin relaxation in diluted magnetic semiconductors. GaMnAs as example

Cited by in corpus (4)

• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Electrical operation of hole spin qubits in planar MOS silicon quantum dots
• Determination of spin-orbit interaction in semiconductor nanostructures via non-linear transport
• Interband contributions to nonlinear transport in semiconductor nanostructures