Table 1 The constraint from \({{{{{\mathcal{P}}}}}}\)-symmetry, \({{{{{\mathcal{T}}}}}}\)-symmetry, and \({{{{{\mathcal{P}}}}}}{{{{{\mathcal{T}}}}}}\)-symmetry for the DC shot noise (DSN) excited by linearly or circularly polarized light

From: Quantifying the photocurrent fluctuation in quantum materials by shot noise

 

σL

σC

ηL

ηC

\({{{{{\mathcal{P}}}}}}\)

✓

✓

✓

✓

\({{{{{\mathcal{T}}}}}}\)

✗

✓

✓

✗

\({{{{{\mathcal{P}}}}}}{{{{{\mathcal{T}}}}}}\)

✗

✓

✓

✗

  1. Here ✓(✗) means that the DSN susceptibility tensors which contain σL/C and ηL/C defined in Eq. (1) are even (odd) under symmetry operation. Here the even (odd) tensor is allowed (forbidden) by the corresponding symmetry. Note that all DSNs feature the \({{{{{\mathcal{P}}}}}}\)-even characteristic and the DSNs in \({{{{{\mathcal{T}}}}}}\)-invariant systems feature the same behavior with that in \({{{{{\mathcal{P}}}}}}{{{{{\mathcal{T}}}}}}\)-invariant systems.