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.

References in corpus (10)

• Tunable Supercurrent Through Semiconductor Nanowires
• One-Dimensional Hole Gas in Germanium/Silicon Nanowire Heterostructures
• Circuit Quantum Electrodynamics with a Spin Qubit
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Strong and Tunable Spin-Orbit Coupling of One-Dimensional Holes in Ge/Si Core/Shell Nanowires
• Tunable g factor and phonon-mediated hole spin relaxation in Ge/Si nanowire quantum dots
• Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling

Cited by in corpus (5)

• The germanium quantum information route
• Majorana Fermions in Ge/Si Hole Nanowires
• Vanishing Zeeman energy in a two-dimensional hole gas
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Spin responses of a disordered helical superconducting edge under Zeeman field