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We study the role of time reversal symmetry (TRS) in the circularphotogalvanic (CPG) responses considering chiral Weyl semimetal (WSM) while aquantized CPG response is guaranteed by broken of both inversion symmetry (IS)and mirror symmetries. The TRS broken WSM yields one left and one right chiralWeyl nodes (WNs) while there are two left and right chiral WNs for TRSinvariant WSM. We show that these features can potentially cause thequantization of CPG response at higher values compared to the topologicalcharge of the underlying WSM. This is further supported by the fact that Berrycurvature and velocity behave differently whether the system preserves orbreaks the TRS. We find the CPG responses for TRS invariant type-II WSM to bequantized at two and four times the topological charge of the activated WNswhile the chemical potential are respectively chosen in the vicinity ofenergies associated with left and right chiral WNs. By contrast, irrespectiveof the above choice of the chemical potential, the quantization in CPG responseis directly given by the topological charge of the activated WNs for TRS brokencase. Interestingly, we notice non-quantized peak in CPG response when energiesof WNs associated with opposite chiralities are close to each other as it isthe case for TRS invariant type-I WSM considered here. Moreover, we show thatthe tilt can significantly modify the CPG response as velocity in the tiltdirection changes which enters into the CPG tensor through the Fermidistribution function. Given these exciting outcomes, the second order CPGresponse emerges as a useful indicator to characterize the system underconsideration. Furthermore, we investigate the momentum resolved structure ofCPG response to relate with the final results and strengthen our analysis fromthe perspective of the lattice models.

Role of time reversal symmetry and tilting in circular photogalvanic responses