Symmetry-Preserving Local Representation for Short-Range Interaction in Complex Materials

Abstract

Modeling short-range interactions in highly disordered materials remains challenging due to the immense configuration space and the disruption of local symmetry in truncated theoretical models. Here, we propose a symmetry-preserving local representation framework that strictly enforces topological continuity and translational invariance via boundary passivation. Applied to high-entropy alloys, this approach autonomously unravels the nonlinear ligand effects modulating local reactivity and accurately captures coverage-dependent many-body interactions without explicit periodic expansion. By resolving the conflict between localized chemical environments and extended periodic boundaries, this framework not only reduces computational complexity by an order of magnitude but also provides a physically transparent paradigm for deciphering short-range order in complex condensed matter systems.

Symmetry-Preserving Phase Transitions in AM₂Al₉ Materials under Pressure
Jian-Feng Zhang, Sheng Xu, Zhong-Yi Lu +1
arXiv29 Aug 2026PreprintarXiv licenceFull textCondensed matterarXiv
PT-invariant nonlocal variable-coefficient Fokas-Lenells equation: nonstandard Hirota bilinearization, symmetry-preserving and breaking multi-soliton solutions
Sagardeep Talukdar, Ramakrishnan R, Sudipta Nandy +1
arXiv17 Sep 2026PreprintCC BY 4.0Full textStatistical & nonlinear physicsarXiv
Fate of average symmetry-protected topological states under symmetry-preserving quantum operations
Yoshihito Kuno, Takahiro Orito
arXiv23 Sep 2026PreprintCC BY 4.0Full textCondensed matter Quantum physics & quantum informationarXiv
GEODE: Symmetry-Preserving Cartesian Diffusion for Crystal Generation
Yuchen Lou, Alex M. Ganose
arXiv1 Oct 2026PreprintCC BY 4.0Full textCondensed matterarXiv
Entropy-Stable and Physical-Constraint-Preserving DGSEM for Symmetry-Reduced General-Relativistic Hydrodynamics on Stationary Spacetimes
Guosheng Fu, Jian-Guo Liu
arXiv29 Aug 2026PreprintCC BY-NC-ND 4.0Full textNumerical analysis & scientific computing Computational physicsarXiv

Cite

BibTeX RIS

BibTeX

@misc{cheng2026symmetrypreserving,
  title = {{Symmetry-Preserving Local Representation for Short-Range Interaction in Complex Materials}},
  author = {Hao Cheng and Tong Yang and Hao Wu and Haokai Hong and Zhongrui Wang and Shu Ping Lau and Wanyu Lin and Kay Chen Tan and Ming Yang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30726},
  eprint = {2610.30726},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30726},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Symmetry-Preserving Local Representation for Short-Range Interaction in Complex Materials
AU  - Hao Cheng
AU  - Tong Yang
AU  - Hao Wu
AU  - Haokai Hong
AU  - Zhongrui Wang
AU  - Shu Ping Lau
AU  - Wanyu Lin
AU  - Kay Chen Tan
AU  - Ming Yang
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.30726
UR  - https://arxiv.org/abs/2610.30726
AB  - Modeling short-range interactions in highly disordered materials remains challenging due to the immense configuration space and the disruption of local symmetry in truncated theoretical models. Here, we propose a symmetry-preserving local representation framework that strictly enforces topological continuity and translational invariance via boundary passivation. Applied to high-entropy alloys, this approach autonomously unravels the nonlinear ligand effects modulating local reactivity and accurately captures coverage-dependent many-body interactions without explicit periodic expansion. By resolving the conflict between localized chemical environments and extended periodic boundaries, this framework not only reduces computational complexity by an order of magnitude but also provides a physically transparent paradigm for deciphering short-range order in complex condensed matter systems.
ER  -

Abstract

Related

Cite