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  • Letter

Strain-driven sinusoidal valley control of intermediate-state-mediated hybridized Γ−K excitons

Yingtong Zhu1, Kang Lan1, Shiling Li1, Ning Hao2, Ping Zhang1,3,*, and Jiyong Fu1,†

  • *Contact author: zhang_ping@iapcm.ac.cn
  • †Contact author: yongjf@qfnu.edu.cn

Phys. Rev. B 114, L291404 – Published 9 November, 2026

DOI: https://doi.org/10.1103/hfxq-f65r

Abstract

The photoluminescence (PL) of momentum-indirect Γ−K excitons in monolayer WS2 under biaxial strain was recently observed by [Blundo et al., Phys. Rev. Lett. 129, 067402 (2022)], yet the microscopic mechanism governing their formation, optical activation, and valley response remains unresolved. Here, we establish a unified microscopic framework bridging exciton formation, population redistribution, PL, and valley polarization. We identify a previously overlooked higher-energy intermediate exciton and reveal a two-step formation mechanism: Optically generated bright excitons first transfer to this intermediate state through exchange interaction and then relax into momentum-indirect excitons via spin-flip scattering. This mechanism explains the strain-dependent PL redistribution in experiment and identifies true hybridized direct-indirect eigenbranches as the PL-active states. Beyond explaining experiment, our theory predicts a strain-driven, sign-changing “sinusoidal” valley response arising from competition among intermediate-state-mediated relaxation channels. These results provide a route to strain-controlled manipulation of long-lived momentum-indirect valley excitons, opening a pathway toward strain-programmable valley engineering in two-dimensional excitonic systems.

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