Measurement and Qualitative Explanation of Decay Lengths of Attractive and Repulsive Forces between Natural and Artificial Atoms

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Main Authors: Weiss, Marco, Stilp, Fabian, Reinhart, Max, Giessibl, Franz J.
Format: Preprint
Published: 2025
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author Weiss, Marco
Stilp, Fabian
Reinhart, Max
Giessibl, Franz J.
author_facet Weiss, Marco
Stilp, Fabian
Reinhart, Max
Giessibl, Franz J.
contents Artificial atoms, such as quantum corrals, offer an excellent platform to study fundamental interactions between localized quantum states and nanoscale probes. We performed atomic force microscopy measurements inside square quantum corrals on Cu(111) using CO- and metal-terminated tips. Using chemically unreactive CO-terminated tips repulsive Pauli forces can be probed, while metallic tips are attracted to the localized quantum states due to chemical bonding. We found distinct exponential decay constants of 46 pm for the repulsive and 66 pm for the attractive forces. Attractive and repulsive interactions between two natural atoms show significantly shorter decay lengths. While natural atoms feature states with a broad range of decay lengths, including very short ones from deeply bound states, quantum corrals are lacking such deeply bound and highly localized states, resulting in longer decay lengths. These results offer a new route to understand and design atomic-scale interactions in low-dimensional quantum structures and devices.
format Preprint
id arxiv_https___arxiv_org_abs_2507_19392
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measurement and Qualitative Explanation of Decay Lengths of Attractive and Repulsive Forces between Natural and Artificial Atoms
Weiss, Marco
Stilp, Fabian
Reinhart, Max
Giessibl, Franz J.
Mesoscale and Nanoscale Physics
Artificial atoms, such as quantum corrals, offer an excellent platform to study fundamental interactions between localized quantum states and nanoscale probes. We performed atomic force microscopy measurements inside square quantum corrals on Cu(111) using CO- and metal-terminated tips. Using chemically unreactive CO-terminated tips repulsive Pauli forces can be probed, while metallic tips are attracted to the localized quantum states due to chemical bonding. We found distinct exponential decay constants of 46 pm for the repulsive and 66 pm for the attractive forces. Attractive and repulsive interactions between two natural atoms show significantly shorter decay lengths. While natural atoms feature states with a broad range of decay lengths, including very short ones from deeply bound states, quantum corrals are lacking such deeply bound and highly localized states, resulting in longer decay lengths. These results offer a new route to understand and design atomic-scale interactions in low-dimensional quantum structures and devices.
title Measurement and Qualitative Explanation of Decay Lengths of Attractive and Repulsive Forces between Natural and Artificial Atoms
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2507.19392