Low-energy hole subband dispersions in a cylindrical Ge nanowire: the effects of the nanowire growth direction

Abstract

We examine the validity of the spherical approximation ${\gamma }_s=(2{\gamma }_2+3{\gamma }_3)/5$ in the Luttinger-Kohn Hamiltonian in calculating the subband dispersions of the hole gas. We calculate the realistic hole subband dispersions (without the spherical approximation) in a cylindrical Ge nanowire by using quasi-degenerate perturbation theory. The realistic low-energy hole subband dispersions have a double-well anticrossing structure, that consists with the spherical approximation prediction. However, the realistic subband dispersions are also nanowire growth direction dependent. When the nanowire growth direction is restricted in the (100) crystal plane, the detailed growth direction dependences of the subband parameters are given. We find the spherical approximation is good approximation, it can nicely reproduce the real result in some special growth directions.

7 pages, 7 figures

References in corpus (19)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• One-Dimensional Hole Gas in Germanium/Silicon Nanowire Heterostructures
• The germanium quantum information route
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
• Ultrafast coherent control of a hole spin qubit in a germanium quantum dot
• Strong spin-orbit interaction and $g$-factor renormalization of hole spins in Ge/Si nanowire quantum dots
• Majorana Fermions in Ge/Si Hole Nanowires
• Tunable g factor and phonon-mediated hole spin relaxation in Ge/Si nanowire quantum dots
• Self-controlled growth of highly uniform Ge/Si hut wires for scalable qubit devices
• Spin-3/2 physics of semiconductor hole nanowires: Valence-band mixing and tunable interplay between bulk-material and orbital bound-state spin splittings
• Hole Spin Qubits in Ge Nanowire Quantum Dots: Interplay of Orbital Magnetic Field, Strain, and Growth Direction
• Acoustic phonons and strain in core/shell nanowires
• Enhanced orbital magnetic field effects in Ge hole nanowires
• Low-energy subband wave-functions and effective $g$-factor of one-dimensional hole gas
• Spin splitting in low-symmetry quantum wells beyond Rashba and Dresselhaus terms
• Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
• Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire
• Electrical manipulation of a hole `spin'-orbit qubit in nanowire quantum dot: the nontrivial magnetic field effects

Cited by in corpus (5)

• Hole subband dispersions in a cylindrical Ge nanowire: exact results based on the axial Luttinger-Kohn Hamiltonian
• Subband structure of a cylindrical HgTe nanowire: transition from normal type to inverted type
• Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire
• Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential
• Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire