ML
M.D. Lowe
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In recent years, there has been significant research in fabricating semiconductor quantum dot-superconductor hybrid devices, which are promising candidates for creating Kitaev chains capable of hosting Majorana bound states (MBSs). These MBSs are expected to be able to store quantum information in a topologically protected manner scaling exponentially with the Kitaev chain length, making them robust against local perturbations and decoherence. However, the fabrication of such devices is complex and requires many design decisions, whilst the resulting devices require extensive characterisation to determine their operating parameters. Currently, there is a lack of theoretical tools to guide the design and characterisation of these devices, and although some systemic protocols and tools have been developed, much of the design process is still based on heuristics and trial-and-error. This thesis aims to address this gap by developing a theoretical framework and computational tools to model and simulate quantum dot Kitaev chain devices at the microscopic level. A pipeline is proposed and demonstrated to model such devices, starting from solving the Schrödinger-Poisson electrostatics problem to determine the potential landscape, then using this potential to solve the quantum transport problem and extract the relevant parameters from a generalised Kitaev chain model. This tool could be used to guide the design of future devices and to characterise existing devices, providing insights into their behaviour and performance.
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In recent years, there has been significant research in fabricating semiconductor quantum dot-superconductor hybrid devices, which are promising candidates for creating Kitaev chains capable of hosting Majorana bound states (MBSs). These MBSs are expected to be able to store quantum information in a topologically protected manner scaling exponentially with the Kitaev chain length, making them robust against local perturbations and decoherence. However, the fabrication of such devices is complex and requires many design decisions, whilst the resulting devices require extensive characterisation to determine their operating parameters. Currently, there is a lack of theoretical tools to guide the design and characterisation of these devices, and although some systemic protocols and tools have been developed, much of the design process is still based on heuristics and trial-and-error. This thesis aims to address this gap by developing a theoretical framework and computational tools to model and simulate quantum dot Kitaev chain devices at the microscopic level. A pipeline is proposed and demonstrated to model such devices, starting from solving the Schrödinger-Poisson electrostatics problem to determine the potential landscape, then using this potential to solve the quantum transport problem and extract the relevant parameters from a generalised Kitaev chain model. This tool could be used to guide the design of future devices and to characterise existing devices, providing insights into their behaviour and performance.