Bridging atomic and mesoscopic length scales with Replica Scanning Tunneling Microscopy: Visualizing the intra-unit cell pair density modulation of superconducting FeSe at micron length scale

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Autores principales: Velasco, Miguel Águeda, Bermúdez-Pérez, Jose D., Talavera, Pablo García, Sánchez-Barquilla, Raquel, Moreno, Jose Antonio, Schmidt, Juan, Bud'ko, Sergey L., Canfield, Paul C., Knebel, Georg, Patino, Midori Amano, Lapertot, Gerard, Flouquet, Jacques, Brison, Jean Pascal, Aoki, Dai, Giraldo-Gallo, Paula, Galvis, Jose Augusto, Guillamón, Isabel, Vasco, Edwin Herrera, Suderow, Hermann
Formato: Preprint
Publicado: 2026
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author Velasco, Miguel Águeda
Bermúdez-Pérez, Jose D.
Talavera, Pablo García
Sánchez-Barquilla, Raquel
Moreno, Jose Antonio
Schmidt, Juan
Bud'ko, Sergey L.
Canfield, Paul C.
Knebel, Georg
Patino, Midori Amano
Lapertot, Gerard
Flouquet, Jacques
Brison, Jean Pascal
Aoki, Dai
Giraldo-Gallo, Paula
Galvis, Jose Augusto
Guillamón, Isabel
Vasco, Edwin Herrera
Suderow, Hermann
author_facet Velasco, Miguel Águeda
Bermúdez-Pérez, Jose D.
Talavera, Pablo García
Sánchez-Barquilla, Raquel
Moreno, Jose Antonio
Schmidt, Juan
Bud'ko, Sergey L.
Canfield, Paul C.
Knebel, Georg
Patino, Midori Amano
Lapertot, Gerard
Flouquet, Jacques
Brison, Jean Pascal
Aoki, Dai
Giraldo-Gallo, Paula
Galvis, Jose Augusto
Guillamón, Isabel
Vasco, Edwin Herrera
Suderow, Hermann
contents Scanning Tunneling Microscopy (STM) is a cornerstone technique for visualizing the electronic density of states with atomic resolution (typically below 0.1 nm). While the field of view of most STM setups extends up to a few microns, obtaining atomic resolution over these large areas is often impractical and excessively time-consuming. This is due to the need to acquire maps with a point number reaching 107 or more with a full current or conductance vs voltage curve at each point. The standard procedure is to make large scale maps and then select small regions to zoom-in for high-resolution atomic scale analysis. However, this approach fails to address a question which is often critical: Does a specific atomic-scale modulation of the electronic density of states persist over much larger, mesoscopic length scales? Here we present a new method: Replica STM (R-STM), that overcomes this limitation, allowing the study of atomic-scale phenomena up to micron length scales. We obtained new large-area STM tunneling conductance maps in UTe2 and FeSe, spanning areas over 200 nm in size. In these large scale maps we discovered signals with wavelengths significantly exceeding interatomic distances. We show that these large-wavelength signals are replicas of the underlying atomic-scale density of states modulations. R-STM leverages these replica signals to efficiently track atomic-scale features over large areas. Using this novel technique, we show that the pair density modulation discovered recently in FeSe persists with the same characteristic wavelength up to hundreds of nm length scales. R-STM provides a powerful and practical new capability for STM to compare atomic scale with micrometer scale phenomena. The proof of principle of R-STM can be extended to any other scanning probe microscopy experiment where a periodic signal is traced as a function of position.
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publishDate 2026
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spellingShingle Bridging atomic and mesoscopic length scales with Replica Scanning Tunneling Microscopy: Visualizing the intra-unit cell pair density modulation of superconducting FeSe at micron length scale
Velasco, Miguel Águeda
Bermúdez-Pérez, Jose D.
Talavera, Pablo García
Sánchez-Barquilla, Raquel
Moreno, Jose Antonio
Schmidt, Juan
Bud'ko, Sergey L.
Canfield, Paul C.
Knebel, Georg
Patino, Midori Amano
Lapertot, Gerard
Flouquet, Jacques
Brison, Jean Pascal
Aoki, Dai
Giraldo-Gallo, Paula
Galvis, Jose Augusto
Guillamón, Isabel
Vasco, Edwin Herrera
Suderow, Hermann
Superconductivity
Mesoscale and Nanoscale Physics
Other Condensed Matter
Strongly Correlated Electrons
Scanning Tunneling Microscopy (STM) is a cornerstone technique for visualizing the electronic density of states with atomic resolution (typically below 0.1 nm). While the field of view of most STM setups extends up to a few microns, obtaining atomic resolution over these large areas is often impractical and excessively time-consuming. This is due to the need to acquire maps with a point number reaching 107 or more with a full current or conductance vs voltage curve at each point. The standard procedure is to make large scale maps and then select small regions to zoom-in for high-resolution atomic scale analysis. However, this approach fails to address a question which is often critical: Does a specific atomic-scale modulation of the electronic density of states persist over much larger, mesoscopic length scales? Here we present a new method: Replica STM (R-STM), that overcomes this limitation, allowing the study of atomic-scale phenomena up to micron length scales. We obtained new large-area STM tunneling conductance maps in UTe2 and FeSe, spanning areas over 200 nm in size. In these large scale maps we discovered signals with wavelengths significantly exceeding interatomic distances. We show that these large-wavelength signals are replicas of the underlying atomic-scale density of states modulations. R-STM leverages these replica signals to efficiently track atomic-scale features over large areas. Using this novel technique, we show that the pair density modulation discovered recently in FeSe persists with the same characteristic wavelength up to hundreds of nm length scales. R-STM provides a powerful and practical new capability for STM to compare atomic scale with micrometer scale phenomena. The proof of principle of R-STM can be extended to any other scanning probe microscopy experiment where a periodic signal is traced as a function of position.
title Bridging atomic and mesoscopic length scales with Replica Scanning Tunneling Microscopy: Visualizing the intra-unit cell pair density modulation of superconducting FeSe at micron length scale
topic Superconductivity
Mesoscale and Nanoscale Physics
Other Condensed Matter
Strongly Correlated Electrons
url https://arxiv.org/abs/2602.19678