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

Stockbridge, Kristian, Chick, Steven, Crane, E., Fisher, A. and Murdin, Benedict (2020) Using non-homogeneous point process statistics to find multi-species event clusters in an implanted semiconductor Journal of Physics Communications.

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Stockbridge+et+al_2019_J._Phys._Commun._10.1088_2399-6528_ab6049.pdf - Accepted version Manuscript

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
NameEmailORCID
Stockbridge, Kristiankristian.stockbridge@surrey.ac.uk
Chick, Stevens.chick@surrey.ac.uk
Crane, E.
Fisher, A.
Murdin, BenedictB.Murdin@surrey.ac.uk
Date : 8 January 2020
Funders : EPSRC
Grant Title : EPSRC Grant
Copyright Disclaimer : © 2019 The Author(s).
Projects : ADDRFFS
Depositing User : James Marshall
Date Deposited : 28 Jan 2020 11:45
Last Modified : 28 Jan 2020 11:45
URI: http://epubs.surrey.ac.uk/id/eprint/853448

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