We study theoretically effects of an anisotropic elastic strain on the
exciton energy spectrum fine structure and optical selection rules in atom-thin
crystals based on transition-metal dichalcogenides. The presence of strain
breaks the chiral selection rules at the K-points of the Brillouin zone
and makes optical transitions linearly polarized. The orientation of the
induced linear polarization is related to the main axes of the strain tensor.
Elastic strain provides an additive contribution to the exciton fine structure
splitting in agreement with experimental evidence obtained from uniaxially
strained WSe2 monolayer. The applied strain also induces momentum-dependent
Zeeman splitting. Depending on the strain orientation and magnitude, Dirac
points with a linear dispersion can be formed in the exciton energy spectrum.
We provide a symmetry analysis of the strain effects and develop a microscopic
theory for all relevant strain-induced contributions to the exciton fine
structure Hamiltonian.Comment: 12 pages, 5 figure