We use dirty d-wave BCS theory to calculate absolute superfluid density, residual specific heat, Volovik effect, and thermal conductivity and compare to experiments on the cuprate superconductor La 2−x Sr x CuO 4 , showing that the theory provides a surprisingly good account of the data across the overdoped region. The starting point is an empirical angle-resolved photoemission spectroscopy-based parametrization of the electronic structure, including substantial Fermi-liquid renormalizations. Furthermore, a proper treatment of the less-explored weak out-of-plane dopant disorder limit is found to be essential. We then show that the same approach captures the low energy physics of another important overdoped cuprate, Tl-2201, thought to be much "cleaner" since it exhibits quantum oscillations, low residual resistivities, and small superconducting state Sommerfeld coefficients. We conclude that the low energy properties of cuprates are remarkably well described in the overdoped regime by dirty d-wave theory, without the need to introduce physics beyond the Landau-BCS paradigm.

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Fermi-Walker derivative and the energy of magnetic curves have an important place in physics and differential geometry. In this study, we calculate the Fermi-Walker derivatives of T, N1, N2 magnetic curves according to the Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the Bishop frame in space. Finally, we have energy relations of some vector fields associated with Bishop frame in the space.

In this paper, we obtain the Fermi-Walker derivatives of , , magnetic curves according to the type-2 Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the type-2 Bishop frame in space. Finally, we have energy relations of some vector fields associated with type-2 Bishop frame in the space.

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