Real-space orbital tiling approach for the design of novel superconductors

Fuente: arXiv
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Main Authors: Bassen, Gregory, Bunstine, Wyatt, Han, Rebecca, Ebeid, Ragy, Zoghlin, Eli, McQueen, Tyrel M.
Format: Preprint
Published: 2025
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author Bassen, Gregory
Bunstine, Wyatt
Han, Rebecca
Ebeid, Ragy
Zoghlin, Eli
McQueen, Tyrel M.
author_facet Bassen, Gregory
Bunstine, Wyatt
Han, Rebecca
Ebeid, Ragy
Zoghlin, Eli
McQueen, Tyrel M.
contents Despite substantial advances in the field, we still lack a predictive framework capable of guiding the discovery of new families of superconductors. While momentum-space approaches have advanced the microscopic understanding of superconductivity, they offer limited guidance for materials design based on atomic building blocks. Here, we propose a real-space framework which conceptualizes Cooper pairs as confined standing waves resulting from coherent tilings of atomic orbitals. We call this model the Real-space Orbital Superconducting Pathway (ROSP). Using a tight-binding toy model, we show that the energetics of electron pairing depend on the configuration and overlap of real-space orbitals, which motivates \textit{a priori} design of superconducting families from orbital tiling. We connect the ROSP model to Roald Hoffmann's isolobal analogy to classify families of superconductors based on shared orbital tilings, rather than structure or electron count. As an example, we suggest that superconductivity in La$_{3}$Ni$_{2}$O$_{7}$ and LaNiO$_{2}$, despite differing structures and electron counts, may arise from a common ROSP. We introduce a new notation to classify two-dimensional square-net ROSPs and further propose several new families of superconductors on the anti-cuprate lattice. This framework provides a new model for predicting and designing families of high-T$_c$ superconductors from real-space orbital architecture, even without microscopic knowledge of the attractive pairing interaction.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00771
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Real-space orbital tiling approach for the design of novel superconductors
Bassen, Gregory
Bunstine, Wyatt
Han, Rebecca
Ebeid, Ragy
Zoghlin, Eli
McQueen, Tyrel M.
Superconductivity
Materials Science
Strongly Correlated Electrons
Despite substantial advances in the field, we still lack a predictive framework capable of guiding the discovery of new families of superconductors. While momentum-space approaches have advanced the microscopic understanding of superconductivity, they offer limited guidance for materials design based on atomic building blocks. Here, we propose a real-space framework which conceptualizes Cooper pairs as confined standing waves resulting from coherent tilings of atomic orbitals. We call this model the Real-space Orbital Superconducting Pathway (ROSP). Using a tight-binding toy model, we show that the energetics of electron pairing depend on the configuration and overlap of real-space orbitals, which motivates \textit{a priori} design of superconducting families from orbital tiling. We connect the ROSP model to Roald Hoffmann's isolobal analogy to classify families of superconductors based on shared orbital tilings, rather than structure or electron count. As an example, we suggest that superconductivity in La$_{3}$Ni$_{2}$O$_{7}$ and LaNiO$_{2}$, despite differing structures and electron counts, may arise from a common ROSP. We introduce a new notation to classify two-dimensional square-net ROSPs and further propose several new families of superconductors on the anti-cuprate lattice. This framework provides a new model for predicting and designing families of high-T$_c$ superconductors from real-space orbital architecture, even without microscopic knowledge of the attractive pairing interaction.
title Real-space orbital tiling approach for the design of novel superconductors
topic Superconductivity
Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2505.00771