Topological state evolution by symmetry-breaking

Fuente: arXiv
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Autores principales: Tang, Feng, Wan, Xiangang
Formato: Preprint
Publicado: 2023
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author Tang, Feng
Wan, Xiangang
author_facet Tang, Feng
Wan, Xiangang
contents Previous symmetry-based database searches have already revealed ubiquitous band topology in nature, while the destiny of band topology under symmetry-breaking is yet to be studied comprehensively. Here we first develop a framework allowing systematically ascertaining topological state evolution as expressed via a tree-like graph for magnetic/non-magnetic crystalline material belonging to any of the 1651 magnetic space groups. Interestingly, we find that specifying different ways of realizing symmetry-breaking leads to various contractions of the tree-like graph, as a new angle of comprehensively characterizing the correlation between a spontaneous symmetry-breaking and any symmetry-group-indicated physics consequence. We also perform a high-throughput investigation on the 1267 stoichiometric magnetic materials ever-experimentally synthesized to reveal a hierarchy of topological states along all continuous paths of symmetry-breaking (preserving the translation symmetry) from the parent magnetic space group to P1. The results in this work are expected to aid experimentalists in selecting feasible and appropriate means to tune band topology towards realistic applications and promote further studies on using tree-like graph to explore the interconnection between topology and other intriguing orderings.
format Preprint
id arxiv_https___arxiv_org_abs_2302_13622
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Topological state evolution by symmetry-breaking
Tang, Feng
Wan, Xiangang
Materials Science
Strongly Correlated Electrons
Previous symmetry-based database searches have already revealed ubiquitous band topology in nature, while the destiny of band topology under symmetry-breaking is yet to be studied comprehensively. Here we first develop a framework allowing systematically ascertaining topological state evolution as expressed via a tree-like graph for magnetic/non-magnetic crystalline material belonging to any of the 1651 magnetic space groups. Interestingly, we find that specifying different ways of realizing symmetry-breaking leads to various contractions of the tree-like graph, as a new angle of comprehensively characterizing the correlation between a spontaneous symmetry-breaking and any symmetry-group-indicated physics consequence. We also perform a high-throughput investigation on the 1267 stoichiometric magnetic materials ever-experimentally synthesized to reveal a hierarchy of topological states along all continuous paths of symmetry-breaking (preserving the translation symmetry) from the parent magnetic space group to P1. The results in this work are expected to aid experimentalists in selecting feasible and appropriate means to tune band topology towards realistic applications and promote further studies on using tree-like graph to explore the interconnection between topology and other intriguing orderings.
title Topological state evolution by symmetry-breaking
topic Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2302.13622