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Relationship Between Conductivity and Phase Coherence Length in Cuprates | | C. C. Almasan
; G. A. Levin
; E. Cimpoiasu
; T. Stein
; C. L. Zhang
; M. C. Deandrade
; M. B. Maple
; Hong Zheng
; A. P. Paulikas
; B. W. Veal
; | | Date: |
1 Oct 1999 | | Subject: | Superconductivity; Strongly Correlated Electrons | cond-mat.supr-con cond-mat.str-el | | Abstract: | The large ($10^2 - 10^5$) and strongly temperature dependent resistive anisotropy $eta = (sigma_{ab}/sigma_c)^{1/2}$ of cuprates perhaps holds the key to understanding their normal state in-plane $sigma_{ab}$ and out-of-plane $sigma_{c}$ conductivities. It can be shown that $eta$ is determined by the ratio of the phase coherence lengths $ell_i$ in the respective directions: $sigma_{ab}/sigma_c = ell_{ab}^2/ell_{c}^2$. In layered crystals in which the out-of-plane transport is incoherent, $ell_{c}$ is fixed, equal to the interlayer spacing. As a result, the T-dependence of $eta$ is determined by that of $ell_{ab}$, and vice versa, the in-plane phase coherence length can be obtained directly by measuring the resistive anisotropy. We present data for hole-doped $YBa_2Cu_3O_y$ ($6.3 < y < 6.9$) and $Y_{1-x}Pr_xBa_2Cu_3O_{7-delta }$ ($0 < x leq 0.55$) and show that $sigma_{ab}$ of crystals with different doping levels can be well described by a two parameter universal function of the in-plane phase coherence length. In the electron-doped $Nd_{2-x}Ce_{x}CuO_{4-y}$, the dependence $sigma_{ab}(eta)$ indicates a crossover from incoherent to coherent transport in the c-direction. | | Source: | arXiv, cond-mat/9910016 | | Services: | Forum | Review | PDF | Favorites | |
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