Quantification of the heavy-hole--light-hole mixing in two-dimensional hole gases
arXiv:2405.16844 · doi:10.1103/PhysRevB.111.115301
Abstract
We theoretically investigate heavy-hole--light-hole mixing in two-dimensional hole gases (2DHG). We restrict our analysis to the zone center, appropriate for the low-density regime, which leads to a simple description, analytical results, and physical insights. We identify two different types of hole-Hamiltonian terms concerning mixing. The first type changes the direction of the pure spinors, without admixing light-hole components. It is efficient for Rabi driving the heavy-hole spin. The second type induces mixing and changes the eigenvalues of the -tensor. We analyze several measures that characterize the mixing quantitatively in Ge, Si, and GaAs, namely the -factor, the light-hole weight in the wave function, the off-diagonal matrix elements in the Hamiltonian, and the strength of the induced spin-orbit interaction. We identify the canonical coordinate frame associated with a generic spin-3/2 Hamiltonian with time-reversal symmetry (TRS). In this coordinate frame, the mixing is quantified by a single parameter, the mixing angle . We interpret it as the canonical (coordinate-frame and Hamiltonian-basis independent) measure of the heavy-hole--light-hole mixing. All the investigated mixing measures are simple functions of . As an illustration, we use our model to analyze heavy-hole spin qubit -tensor, dephasing, relaxation, and Rabi frequencies, interpreting the arising effects as due to rotations of the canonical frame and changes of the mixing angle .
arXiv comment22 pages, 6 figures; minor revision reflecting publisher's proofreading
References in corpus (61)
- Quantum Computation with Quantum Dots
- Non-ballistic spin field-effect transistor
- A CMOS silicon spin qubit
- Emergence of the persistent spin helix in semiconductor quantum wells
- A four-qubit germanium quantum processor
- The germanium quantum information route
- Electric Dipole Induced Spin Resonance in Quantum Dots
- Spin relaxation and decoherence of holes in quantum dots
- Rashba spin splitting in two-dimensional electron and hole systems
- Spin-orbit coupling effects on quantum transport in lateral semiconductor dots
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
- A hole spin qubit in a fin field-effect transistor above 4 kelvin
- A single-hole spin qubit
- Persistent Spin Textures in Semiconductor Nanostructures
- Electric Dipole Spin Resonance for Heavy Holes in Quantum Dots
- Review of performance metrics of spin qubits in gated semiconducting nanostructures
- Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
- A singlet triplet hole spin qubit in planar Ge
- Electrical spin driving by -matrix modulation in spin-orbit qubits
- Quantum Dot Arrays in Silicon and Germanium
- Low disordered, stable, and shallow germanium quantum wells: a playground for spin and hybrid quantum technology
- Ultrafast coherent control of a hole spin qubit in a germanium quantum dot
- Dynamical spin-electric coupling in a quantum dot
- Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions
- Berry's phase and Quantum Dynamics of Ferromagnetic Solitons
- Theory of Hole-Spin Qubits in Strained Germanium Quantum Dots
- Strong coupling between a photon and a hole spin in silicon
- Highly anisotropic g-factor of two-dimensional hole systems
- A single hole spin with enhanced coherence in natural silicon
- Electrical control of g-factors in a few-hole silicon nanowire MOSFET
- Optimal operation points for ultrafast, highly coherent Ge hole spin-orbit qubits
- Hole Spin Coherence in a Ge/Si Heterostructure Nanowire
- 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
- Stretchable persistent spin helices in GaAs quantum wells
- Strong spin-orbit interaction and -factor renormalization of hole spins in Ge/Si nanowire quantum dots
- Simultaneous single-qubit driving of semiconductor spin qubits at the fault-tolerant threshold
- Recent advances in hole-spin qubits
- Dynamics of hole singlet triplet qubits with large g-factor differences
- Self-controlled growth of highly uniform Ge/Si hut wires for scalable qubit devices
- Hole spin driving by strain-induced spin-orbit interactions
- Electrical control of the -tensor of a single hole in a silicon MOS quantum dot
- Spin filling and orbital structure of the first six holes in a silicon metal-oxide-semiconductor quantum dot
- Lightly-strained germanium quantum wells with hole mobility exceeding one million
- Magnetic Field Evolution of Spin Blockade in Ge/Si Nanowire Double Quantum Dots
- Prediction of large linear-in-k spin splitting for holes in the 2D GaAs/AlAs system
- Two-qubit logic with anisotropic exchange in a fin field-effect transistor
- Hole Spin Qubits in Ge Nanowire Quantum Dots: Interplay of Orbital Magnetic Field, Strain, and Growth Direction
- Longitudinal and transverse electric field manipulation of hole spin-orbit qubits in one-dimensional channels
- Tunable hole spin-photon interaction based on g-matrix modulation
- Ambipolar quantum dots in undoped silicon fin field-effect transistors
- Electrical operation of planar Ge hole spin qubits in an in-plane magnetic field
- Ultrafast and Electrically Tunable Rabi Frequency in a Germanium Hut Wire Hole Spin Qubit
- Negative differential Rashba effect in two-dimensional hole systems
- Hole spin qubits in thin curved quantum wells
- Dispersively probed microwave spectroscopy of a silicon hole double quantum dot
- Orbital effects of a strong in-plane magnetic field on a gate-defined quantum dot
- Electrical operation of hole spin qubits in planar MOS silicon quantum dots
- Anisotropic -tensors in hole quantum dots: The role of the transverse confinement direction
- Spin splitting in low-symmetry quantum wells beyond Rashba and Dresselhaus terms