Disorder-resilient transport through dopant arrays in silicon

Fuente: arXiv
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Autori principali: Gawełczyk, Michał, Bryant, Garnett W., Zieliński, Michał
Natura: Preprint
Pubblicazione: 2024
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author Gawełczyk, Michał
Bryant, Garnett W.
Zieliński, Michał
author_facet Gawełczyk, Michał
Bryant, Garnett W.
Zieliński, Michał
contents Chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant-based quantum simulators. The dopant disorder present in fabricated devices must be accounted for. Here, we theoretically study transport through disordered donor-based $3\times 3$ arrays that model recent experimental results. We employ a theory that combines the exact diagonalization of an extended Hubbard model of the array with a non-equilibrium Green's function formalism to model transport in interacting systems. We show that current flow through the array and features of measured stability diagrams are highly resilient to disorder. We interpret this as an emergence of uncomplicated behavior in the multi-electron system dominated by strong correlations, regardless of array filling, where the current follows the shortest paths between source and drain sites that avoid possible obstacles. The reference $3\times 3$ array has transport properties very similar to three parallel 3-site chains coupled only by interchain Coulomb interaction, which indicates a challenge in characterizing such devices.
format Preprint
id arxiv_https___arxiv_org_abs_2405_05217
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Disorder-resilient transport through dopant arrays in silicon
Gawełczyk, Michał
Bryant, Garnett W.
Zieliński, Michał
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant-based quantum simulators. The dopant disorder present in fabricated devices must be accounted for. Here, we theoretically study transport through disordered donor-based $3\times 3$ arrays that model recent experimental results. We employ a theory that combines the exact diagonalization of an extended Hubbard model of the array with a non-equilibrium Green's function formalism to model transport in interacting systems. We show that current flow through the array and features of measured stability diagrams are highly resilient to disorder. We interpret this as an emergence of uncomplicated behavior in the multi-electron system dominated by strong correlations, regardless of array filling, where the current follows the shortest paths between source and drain sites that avoid possible obstacles. The reference $3\times 3$ array has transport properties very similar to three parallel 3-site chains coupled only by interchain Coulomb interaction, which indicates a challenge in characterizing such devices.
title Disorder-resilient transport through dopant arrays in silicon
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2405.05217