In quadratic nodal line semimetals the long-wavelength plasmon frequency scales as n^{1/2}, while cubic nodal line semimetals show n^{2/3} at large doping and an RPA-derived n^{3/4} at small doping, with a common sqrt(2) anisotropy in the thin-ring limit.
The radial integral runs overK∈[0, K max] withK max = 8K F , beyond which the integrand is exponentialy suppressed (convergence<0.1%)
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Plasmon modes in quadratic and cubic nodal line semimetals
In quadratic nodal line semimetals the long-wavelength plasmon frequency scales as n^{1/2}, while cubic nodal line semimetals show n^{2/3} at large doping and an RPA-derived n^{3/4} at small doping, with a common sqrt(2) anisotropy in the thin-ring limit.