Spin Density Matrix of Spin-3/2 Hole Systems

Details Spin Density Matrix of Spin-3/2 Hole Systems Spin Density Matrix of Spin-3/2 Hole Systems

2004-02-13

arxiv.org/abs/cond-mat/0402360v1

Phys. Rev. B 70, 125301 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 1 figure, 3 tables

Scientific paper

10.1103/PhysRevB.70.125301

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 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 can induce a substantial octupole moment which is a unique feature of j=3/2 hole systems.

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