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Using non-homogeneous point process statistics to find multi-species event clusters in an implanted semiconductor

Stockbridge, K; Chick, S; Crane, E; Fisher, A; Murdin, BN; (2020) Using non-homogeneous point process statistics to find multi-species event clusters in an implanted semiconductor. Journal of Physics Communications , 4 (1) , Article 015010. 10.1088/2399-6528/ab6049. Green open access

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Abstract

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.

Type: Article
Title: Using non-homogeneous point process statistics to find multi-species event clusters in an implanted semiconductor
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/2399-6528/ab6049
Publisher version: http://dx.doi.org/10.1088/2399-6528/ab6049
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10112923
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