Interband contributions to nonlinear transport in semiconductor nanostructures
arXiv:2410.16639 · doi:10.1103/PhysRevB.111.125305
Abstract
Spin-orbit interaction (SOI) is a crucial ingredient for many potential applications of quantum devices, such as the use of semiconductor nanostructures for quantum computing. It is known that nonlinear conductivities are sensitive to the strength and type of SOI, however, many calculations of nonlinear transport coefficients are based on the semiclassical Boltzmann theory and make simplifying assumptions about scattering effects due to disorder. In this paper we develop and employ a microscopic theory based on the Keldysh formalism that goes beyond simple semiclassical approximations. This approach, for instance, naturally takes into account the effects of interband transitions, Berry curvature, and allows for a more precise treatment of impurity scattering. As a test of this formalism, we consider the nonlinear transport properties in an effective two-band model of one-dimensional nanowires (1DNWs) and two-dimensional hole gases (2DHGs) in the presence of a magnetic field causing Zeeman splittings of the spin states. We find that the small energy scales in nanostructures mean that interband contributions can be relevant, especially in the dirty limit, and therefore could modify qualitative features found using a purely semiclassical approach. Nonetheless, we find that different types of SOI (linear or cubic) still result in remarkably pronounced different in-plane field angle dependences, which survive even when interband effects are relevant. Our results provide a detailed understanding of when interband effects become important for nonlinear transport and can serve as the basis for a microscopic description to predict other nonlinear transport effects in materials and devices.
17 pages, 5 figures
References in corpus (60)
- Spintronics: Fundamentals and applications
- Skyrmion Lattice in a Chiral Magnet
- Anomalous Hall effect
- Spin torque switching with the giant spin Hall effect of tantalum
- Spins in few-electron quantum dots
- Universal Intrinsic Spin-Hall Effect
- Dissipationless Quantum Spin Current at Room Temperature
- Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
- Topological Hall effect in the A-phase of MnSi
- 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
- Roadmap of spin-orbit torques
- Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
- Topological Hall effect and Berry phase in magnetic nanostructures
- Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
- Prospects for Spin-Based Quantum Computing
- Chiral skyrmions in thin magnetic films: new objects for magnetic storage technologies?
- A four-qubit germanium quantum processor
- The germanium quantum information route
- Nonlinear Hall Effects
- Fast two-qubit logic with holes in germanium
- Chirality driven anomalous Hall effect in weak coupling regime
- Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
- Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
- Planar Hall effect from the surface of topological insulators
- A single-hole spin qubit
- Bilinear magneto-electric resistance as a probe of three-dimensional spin texture in topological surface states
- Spin-Hall conductivity due to Rashba spin-orbit interaction in disordered systems
- Quantum theory of the nonlinear Hall effect
- Majorana bound states in magnetic skyrmions
- Electrical magnetochiral effect induced by chiral spin fluctuations
- Nonlinear planar Hall effect
- Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions
- Superconducting diode effect due to magnetochiral anisotropy in topological insulator and Rashba nanowires
- Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
- Anomalous electrical magnetochiral effect by chiral spin fluctuation
- Electrical manipulation of semiconductor spin qubits within the g-matrix formalism
- Self-controlled growth of highly uniform Ge/Si hut wires for scalable qubit devices
- Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
- Quantum Dynamics of Skyrmions in Chiral Magnets
- Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models
- Giant magnetochiral anisotropy from quantum confined surface states of topological insulator nanowires
- Persistent Skyrmion Lattice of Noninteracting Electrons with Spin-Orbit Coupling
- Germanium wafers for strained quantum wells with low disorder
- Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
- Hole Spin Qubits in Ge Nanowire Quantum Dots: Interplay of Orbital Magnetic Field, Strain, and Growth Direction
- Nonreciprocal spin Seebeck effect in antiferromagnets
- Longitudinal and transverse electric field manipulation of hole spin-orbit qubits in one-dimensional channels
- Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals
- Dynamic spin-Hall effect and driven spin helix for linear spin-orbit interactions
- Weak coupling theory of topological Hall effect
- Topological Hall effect from strong to weak coupling
- Disorder in the non-linear anomalous Hall effect of -symmetric Dirac fermions
- Enhanced orbital magnetic field effects in Ge hole nanowires
- Quantum kinetic theory of quadratic responses
- Determination of spin-orbit interaction in semiconductor nanostructures via non-linear transport
- Nonlinear transport due to magnetic-field-induced flat bands in the nodal-line semimetal ZrTe5
- Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes
- Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
- Spin orbit-induced anisotropic conductivity of a disordered 2DEG