  We investigate the scalar induced gravitational waves (SIGWs) in metric
teleparallel gravity with the Nieh-Yan (NY) term, which results in parity
violation during the radiation-dominated era. By solving the equations of
motion of linear scalar perturbations from both the metric and the tetrad
fields, we obtain the corresponding analytic expressions. Then, we calculate
the SIGWs in metric teleparallel gravity with the NY term and evaluate the
energy density of SIGWs with a monochromatic power spectrum numerically. We
find that the spectrum of the energy density of SIGWs in metric teleparallel
gravity with the NY term is significantly different from that in general
relativity (GR), which makes metric teleparallel gravity distinguishable from
GR.
