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Main Authors: Shen, Li-Qun, Wang, Hao-Jin, Sun, Mengzhao, Xiang, Yang, Tian, Xin-Ning, Chai, Yue, Yang, Yue, Ding, Feng, Kong, Xiao, Willinger, Marc-Georg, Wang, Zhu-Jun
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.24220
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author Shen, Li-Qun
Wang, Hao-Jin
Sun, Mengzhao
Xiang, Yang
Tian, Xin-Ning
Chai, Yue
Yang, Yue
Ding, Feng
Kong, Xiao
Willinger, Marc-Georg
Wang, Zhu-Jun
author_facet Shen, Li-Qun
Wang, Hao-Jin
Sun, Mengzhao
Xiang, Yang
Tian, Xin-Ning
Chai, Yue
Yang, Yue
Ding, Feng
Kong, Xiao
Willinger, Marc-Georg
Wang, Zhu-Jun
contents Interfacial reconstruction between two-dimensional (2D) materials and metal substrates fundamentally governs heterostructure properties, yet conventional flat substrates fail to capture the continuous crystallographic landscape. Here, we overcome this topological limitation using non-Euclidean interfaces-curved 2D graphene-copper surfaces as a model system-to traverse the infinite spectrum of lattice orientations. By integrating multimodal microscopy with a deep-learning-enhanced dimensional upscaling framework, we translate 2D scanning electron microscopy (SEM) contrast into quantitative three-dimensional (3D) morphologies with accurate facet identification. Coupling these observations with machine-learning-assisted density functional theory, we demonstrate that reconstruction is governed by a unified thermodynamic mechanism where high-index facets correspond to specific local minima in the surface energy landscape. This work resolves the long-standing complexity of graphene-copper faceting and establishes non-Euclidean surface topologies as a generalizable paradigm for decoding and controlling interfacial reconstruction in diverse metal-2D material systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24220
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Euclidean interfaces decode the continuous landscape of graphene-induced surface reconstructions
Shen, Li-Qun
Wang, Hao-Jin
Sun, Mengzhao
Xiang, Yang
Tian, Xin-Ning
Chai, Yue
Yang, Yue
Ding, Feng
Kong, Xiao
Willinger, Marc-Georg
Wang, Zhu-Jun
Mesoscale and Nanoscale Physics
Interfacial reconstruction between two-dimensional (2D) materials and metal substrates fundamentally governs heterostructure properties, yet conventional flat substrates fail to capture the continuous crystallographic landscape. Here, we overcome this topological limitation using non-Euclidean interfaces-curved 2D graphene-copper surfaces as a model system-to traverse the infinite spectrum of lattice orientations. By integrating multimodal microscopy with a deep-learning-enhanced dimensional upscaling framework, we translate 2D scanning electron microscopy (SEM) contrast into quantitative three-dimensional (3D) morphologies with accurate facet identification. Coupling these observations with machine-learning-assisted density functional theory, we demonstrate that reconstruction is governed by a unified thermodynamic mechanism where high-index facets correspond to specific local minima in the surface energy landscape. This work resolves the long-standing complexity of graphene-copper faceting and establishes non-Euclidean surface topologies as a generalizable paradigm for decoding and controlling interfacial reconstruction in diverse metal-2D material systems.
title Non-Euclidean interfaces decode the continuous landscape of graphene-induced surface reconstructions
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2512.24220