RKKY interaction induced by two-dimensional hole gases

Abstract

We analytically compute the RKKY range function as induced by two-dimensional (2D) hole gases. The bulk valence-band includes heavy-hole (HH) and light-hole (LH) states and their dynamics is described by the Luttinger Hamiltonian which we adopt as our framework. We show that even for situations where only the lowest HH-like subband is occupied the resulting form of the RKKY function can be very different as compared to the one of a 2D electron gas. The associated spin susceptibility tensor has entries along the quantum-well directions and perpendicular to it. Our formluae for the spin susceptibility tensor reveal the crucial influence of HH-LH mixing which gives rise to large anisotropies both among the in-plane components as well as among the in-plane components and the component perpendicular to the quantum-well.

8 pages, 5 figures; references added; to appear in Phys. Rev. B

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• Exporting superconductivity across the gap: Proximity effect for semiconductor valence-band states due to contact with a simple-metal superconductor
• Anisotropic RKKY interactions mediated by $j=3/2$ quasiparticles in half-Heusler topological semimetal
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems
• The Ferromagnetism in the Vicinity of Lifshitz Topological Transitions