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- W2038309028 abstract "We propose a phenomenological model for the copper oxide superconductors in which one complex s-wave order parameter (OP) is associated with each of the N conducting layers per unit cell, with N-1 equal spacings d and one different spacing d'; the c axis repeat distance s=d'+(N-1)d. The layers are coupled by Josephson-like tunneling, with parameters ${ensuremath{zeta}}_{1}$ and ${ensuremath{zeta}}_{2}$, respectively. The Gaussian fluctuation free energy is diagonalized, yielding N distinct ${T}_{c}$ values. Just above the highest ${T}_{c}$, the fluctuations are usually dominated by the three-dimensional (3D) regime of a single cellular OP. In the 2D regime further above ${T}_{c}$, more of the OP's contribute to the fluctuations, their relative contributions depending upon the ${ensuremath{zeta}}_{1}$ and ${ensuremath{zeta}}_{2}$ values. The temperature (T) and angular (ensuremath{theta}) dependence of the resulting fluctuation magnetization M(ensuremath{theta},T) is calculated.In a weak magnetic field B [B${B}_{0}$=${ensuremath{varphi}}_{0}$/(${mathrm{sv}}_{F}$${ensuremath{tau}}_{ensuremath{varphi}}$), where ${ensuremath{varphi}}_{0}$, ${v}_{F}$, and ${ensuremath{tau}}_{ensuremath{varphi}}$ are the flux quantum, intralayer Fermi velocity, and phase coherence lifetime, respectively], the susceptibility ${ensuremath{chi}}_{ensuremath{alpha}ensuremath{beta}}$ is diagonal in the crystal representation, resulting in an ordinary (anisotropic mass) ensuremath{theta} dependence at fixed T near ${T}_{c}$. At very high fields in very high-quality single crystals (${ensuremath{omega}}_{c}$${ensuremath{tau}}_{ensuremath{varphi}}$ensuremath{gg}1, where ${ensuremath{omega}}_{c}$ is the pair cyclotron frequency), M is best evaluated in the field representation. The component ${M}_{mathrm{B}}$(ensuremath{theta},T) exhibits anomalous oscillations in its ensuremath{theta} dependence, arising from degenerate multiple minima in the pair potential, provided that the effective high-momentum cutoff ${q}_{c}^{mathrm{*}}$ is sufficiently large. In this field regime, ${q}_{c}^{mathrm{*}}$ is either on the order of ensuremath{pi}s/a, where a is the intralayer oxygen site repeat distance, or equal to ensuremath{pi}[1+(B/${B}_{0}$)sinensuremath{theta}].The oscillations are similar to de Haas--van Alphen oscillations in the B dependence of the normal state M. They are broadened by local, clean-limit dynamic effects but should be observable for ${ensuremath{tau}}_{ensuremath{varphi}}$${k}_{B}$${T}_{c}$/ensuremath{Elzxh}ensuremath{gtrsim}ensuremath{gtrsim}ensuremath{gtrsim}1 and N=2, which we argue is the case in the best samples. In addition, the fluctuation specific heat (FSH) and Aslamazov-Larkin conductivity are calculated for B=0, including dynamic effects. For arbitrary N, the FSH above ${T}_{c}$ is found to be proportional to ${ensuremath{chi}}_{mathrm{cc}}$(T)/T. For fits of the theoretical FSH to experimental data, it is necessary to modify the mean-field expressions for T${T}_{c}$, such that the entropy of the superconducting transition remains zero. An example of such a modification is given. All fluctuation quantities exhibit dimensional crossover (DCR) from 3D behavior near ${T}_{c}$ to 2D behavior further from ${T}_{c}$. For the fluctuation diamagnetism the DCR temperature ${T}_{0}$(ensuremath{theta}) depends strongly upon ensuremath{theta} in the vicinity of ensuremath{pi}/2, where it diverges. Away from ${T}_{c}$ dynamic effects are found to be important and can be so strong as to mimic DCR behavior, even for ensuremath{theta}=ensuremath{pi}/2, for which DCR should not occur. The dynamic effects make quantitative corrections to the fluctuation quantities for T as close as 1 K to ${T}_{c}$. For N=2 detailed plots of the above fluctuation quantities for a range of the microscopic parameters are presented." @default.
- W2038309028 created "2016-06-24" @default.
- W2038309028 creator A5036760022 @default.
- W2038309028 date "1990-02-01" @default.
- W2038309028 modified "2023-09-27" @default.
- W2038309028 title "Phenomenological model of the copper oxide superconductors" @default.
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- W2038309028 doi "https://doi.org/10.1103/physrevb.41.2073" @default.
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