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Quantum theory of optical spin texture in a chiral tellurium lattice

Pronoy Das1, Sathwik Bharadwaj1,2, Jungho Mun3, Xueji Wang1, Junsuk Rho3,4, and Zubin Jacob1,*

  • 1Elmore Family School of Electrical and Computer Engineering, Birck Nanotechnology Center, and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, Indiana 47907, USA
  • 2Department of Physics, Worcester Polytechnic Institute, Worcester, Massachusetts 01609, USA
  • 3POSCO-POSTECH-RIST Convergence Research Center for Flat Optics and Metaphotonics, Pohang 37673, Republic of Korea
  • 4Department of Mechanical Engineering, Department of Chemical Engineering, and Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang 37673, Republic of Korea

  • *Contact author: zjacob@purdue.edu

Phys. Rev. B 113, L041116 – Published 26 January, 2026

DOI: https://doi.org/10.1103/srxs-4xfm

Abstract

The absence of inversion symmetry in chiral tellurium (Te) creates unique spin textures within its electron waves. However, understanding textured optical waves within Te remains a challenge due to the semiclassical limitations of the long-wavelength approximation. To unveil deep microscopic optical eigenwaves in Te, we develop a spin-resolved deep-microscopic optical band structure, analogous to its electronic counterpart. We demonstrate that the degeneracies in this optical band structure are lifted by the twisted lattice of Te, which induces optical gyrotropy. Our theory shows excellent agreement with experimental optical gyrotropy measurements. At the lattice level, we reveal that the chirality of Te manifests as deep-microscopic spin texture within the bulk optical eigenwaves. Our framework uncovers the finite-momentum origin of optical activity and provides a microscopic basis to quantify light-matter interactions in chiral crystalline materials.

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