Generalized BCS and Ginsburg-Landau approaches to mixed-parity superconductivity

We have numerically studied the dynamic correlation functions in thermodynamic equilibrium of two-dimensional O(2) symmetry models with either bond [resistively shunted Josephson (RSJ)] or site [time-dependent Ginsburg-Landau (TDGL)] dissipation as a function of temperature $T$ . We find that above the critical temperature the frequency dependent flux noise ${S}_{\ensuremath{\Phi}}(\ensuremath{\omega})\ensuremath{\sim}|1+(\ensuremath{\omega}/\ensuremath{\Omega}{)}^{2}{|}^{\ensuremath{-}\ensuremath{\alpha}(T)/2}$, with $0.85\ensuremath{\le}\ensuremath{\alpha}(\mathrm{TDGL})(T)\ensuremath{\le}0.95$ and $1.17\ensuremath{\le}\ensuremath{\alpha}(\mathrm{RSJ})(T)\ensuremath{\le}1.27$, while the dynamic critical exponents $z(\mathrm{TDGL})\ensuremath{\sim}2.0$ and $z(\mathrm{RSJ})\ensuremath{\sim}0.9$. Contrary to expectation the TDGL results are in closer agreement with the experiments in Josephson-junction arrays by Shaw et al. [Phys. Rev. Lett. 76, 2551 (1996)] than those from the RSJ model.We have numerically studied the dynamic correlation functions in thermodynamic equilibrium of two-dimensional O(2) symmetry models with either bond [resistively shunted Josephson (RSJ)] or site [time-dependent Ginsburg-Landau (TDGL)] dissipation as a function of temperature $T$. We find that above the critical temperature the frequency dependent flux noise ${S}_{\ensuremath{\Phi}}(\ensuremath{\omega})\ensuremath{\sim}|1+(\ensuremath{\omega}/\ensuremath{\Omega}{)}^{2}{|}^{\ensuremath{-}\ensuremath{\alpha}(T)/2}$, with $0.85\ensuremath{\le}\ensuremath{\alpha}(\mathrm{TDGL})(T)\ensuremath{\le}0.95$ and $1.17\ensuremath{\le}\ensuremath{\alpha}(\mathrm{RSJ})(T)\ensuremath{\le}1.27$, while the dynamic critical exponents $z(\mathrm{TDGL})\ensuremath{\sim}2.0$ and $z(\mathrm{RSJ})\ensuremath{\sim}0.9$. Contrary to expectation the TDGL results are in closer agreement with the experiments in Josephson-junction arrays by Shaw et al. [Phys. Rev. Lett. 76, 2551 (1996)] than those from the RSJ model.

arXiv:cond-mat/9611208Physical Review LettersJan 20, 199729 citations

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. We find that above the critical temperature the frequency dependent flux noise ${S}_{\ensuremath{\Phi}}(\ensuremath{\omega})\ensuremath{\sim}|1+(\ensuremath{\omega}/\ensuremath{\Omega}{)}^{2}{|}^{\ensuremath{-}\ensuremath{\alpha}(T)/2}$, with $0.85\ensuremath{\le}\ensuremath{\alpha}(\mathrm{TDGL})(T)\ensuremath{\le}0.95$ and $1.17\ensuremath{\le}\ensuremath{\alpha}(\mathrm{RSJ})(T)\ensuremath{\le}1.27$, while the dynamic critical exponents $z(\mathrm{TDGL})\ensuremath{\sim}2.0$ and $z(\mathrm{RSJ})\ensuremath{\sim}0.9$. Contrary to expectation the TDGL results are in closer agreement with the experiments in Josephson-junction arrays by Shaw et al. [Phys. Rev. Lett. 76, 2551 (1996)] than those from the RSJ model.