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Why linear optical response is absent in a non-centrosymmetric system with time reversal symmetry?

Physics Asked on February 5, 2021

In this paper, it is mentioned that a non-centrosymmetric system with time-reversal symmetry doesn’t have a linear response. It is actually a consequence of the Onsager reciprocal theorem.

But I didn’t understand the theorem properly. Can anyone give an intuitive picture of why the linear optical response is absent in a non-centrosymmetric system with time-reversal symmetry?

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