Strongly Interacting Holes in Ge/Si Nanowires

Abstract

We consider holes confined to Ge/Si core/shell nanowires subject to strong Rashba spin-orbit interaction and screened Coulomb interaction. Such wires can, for instance, serve as host systems for Majorana bound states. Starting from a microscopic model, we find that the Coulomb interaction strongly influences the properties of experimentally realistic wires. To show this, a Luttinger liquid description is derived based on a renormalization group analysis. This description in turn allows to calculate the scaling exponents of various correlation functions as a function of the microscopic system parameters. It furthermore permits to investigate the effect of Coulomb interaction on a small magnetic field, which opens a strongly anisotropic partial gap.

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Cited by in corpus (10)

• The germanium quantum information route
• Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions
• Majorana Fermions in Ge/Si Hole Nanowires
• Multiple Andreev reflections and Shapiro steps in a Ge-Si nanowire Josephson junction
• Hard superconducting gap and diffusion-induced superconductors in Ge-Si nanowires
• Vanishing Zeeman energy in a two-dimensional hole gas
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field
• Spin responses of a disordered helical superconducting edge under Zeeman field