Spin density matrix of spin-32hole systems

2004/02/13 by R. Winkler · 8 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.70.125301

published as Phys. Rev. B 70, 125301 (2004) · 8 pages, 1 figure, 3 tables

arxiv created 2004/02/13 · openalex publication_date 2004/09/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For hole systems with an effective spin j=3∕2, we present an invariant decomposition of the spin density matrix that can be interpreted as a multipole expansion. The charge density corresponds to the monopole moment and the spin polarization due to a magnetic field corresponds to a dipole moment while heavy hole-light hole splitting can be interpreted as a quadrupole moment. For quasi-two-dimensional hole systems in the presence of an in-plane magnetic field B_\ensuremath\Vert the spin polarization is a higher-order effect that is typically much smaller than one even if the minority spin subband is completely depopulated. On the other hand, the field B_\ensuremath\Vert can induce a substantial octupole moment, which is a unique feature of j=3∕2 hole systems.

Citations

• Classical Electrodynamics

Cited by

• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Spin orientation of holes in quantum wells
• Landé-like formula for thegfactors of hole-nanowire subband edges
• Large variations in the hole spin splitting of quantum-wire subband edges
• Anisotropic spin-blockade leakage current in a Ge hole double quantum dot
• Observation of orientation- andk-dependent Zeeman spin-splitting in hole quantum wires on (100)-oriented AlGaAs/GaAs heterostructures
• Surface states, Friedel oscillations, and spin accumulation inp-doped semiconductors
• Engineering long spin coherence times of spin–orbit qubits in silicon

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