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PreprintCC BY 4.0arXiv

Topological Phenomena Protected by Diabolical Textures

  • Sayantan Mandal
  • Neelima Pulletikurty
  • Abhishodh Prakash
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Abstract

We present a new class of topological phenomena in inhomogeneous systems arising from the adiabatic spatial embedding of parametrized families of quantum states such as charge pumps and their generalizations. We demonstrate that each topologically distinct class of these ``diabolical textures" gives rise to distinct gapped states that are separated by ``trap-scaling" critical points, defect transitions, or intervening phases. Their phase diagrams exhibit versions of ``unnecessary criticality'' and ``multiversality,'' within a noninteracting setting. We demonstrate this in a one-dimensional Thouless pump texture trapping a charge and a two-dimensional class D texture trapping a Kitaev chain, including an analysis of their stability under weak symmetry-preserving perturbations and interactions. For systems in arbitrary spatial dimensions and global symmetries, we present a framework to systematically classify diabolical textures using Kitaev's Ω spectrum conjecture.

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Cite

BibTeXRIS
BibTeX
@misc{mandal2026topological,
  title = {{Topological Phenomena Protected by Diabolical Textures}},
  author = {Sayantan Mandal and Neelima Pulletikurty and Abhishodh Prakash},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.30421},
  eprint = {2605.30421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.30421},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Topological Phenomena Protected by Diabolical Textures
AU  - Sayantan Mandal
AU  - Neelima Pulletikurty
AU  - Abhishodh Prakash
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2605.30421
UR  - https://arxiv.org/abs/2605.30421
AB  - We present a new class of topological phenomena in inhomogeneous systems arising from the adiabatic spatial embedding of parametrized families of quantum states such as charge pumps and their generalizations. We demonstrate that each topologically distinct class of these ``diabolical textures" gives rise to distinct gapped states that are separated by ``trap-scaling" critical points, defect transitions, or intervening phases. Their phase diagrams exhibit versions of ``unnecessary criticality'' and ``multiversality,'' within a noninteracting setting. We demonstrate this in a one-dimensional Thouless pump texture trapping a charge and a two-dimensional class D texture trapping a Kitaev chain, including an analysis of their stability under weak symmetry-preserving perturbations and interactions. For systems in arbitrary spatial dimensions and global symmetries, we present a framework to systematically classify diabolical textures using Kitaev's Ω spectrum conjecture.
ER  -