Using non-homogeneous point process statistics to find multi-species event clusters in an implanted semiconductor
JOURNAL OF PHYSICS COMMUNICATIONS(2020)
摘要
The Poisson distribution of event-to-ith-nearest-event radial distances is well known for homogeneous processes that do not depend on location or time. Here we investigate the case of a non-homogeneous point process where the event probability (and hence the neighbour configuration) depends on location within the event space. The particular non-homogeneous scenario of interest to us is ion implantation into a semiconductor for the purposes of studying interactions between the implanted impurities. We calculate the probability of a simple cluster based on nearest neighbour distances, and specialise to a particular two-species cluster of interest for qubit gates. We show that if the two species are implanted at different depths there is a maximum in the cluster probability and an optimum density profile.
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关键词
nonhomogeneous poisson point process,cluster configuration probability,nearest neighbour statistics,implanted donor qubits
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