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Universal Correlations between<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:math>(Carrier Density over Effective Mass) in High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Cuprate Superconductors

Yohei UemuraDepartment of Physics, Columbia University, New York, New York 10027G. M. LukeDepartment of Physics, Columbia University, New York, New York 10027B. J. SternliebDepartment of Physics, Columbia University, New York, New York 10027J. H. BrewerTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3J. F. CarolanTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3W. N. HardyTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3R. KadonoTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3J. R. KemptonTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3R. F. KieflTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3S. R. KreitzmanTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3P. J. MulhernTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3T. M. RisemanTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3D. Ll. WilliamsTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3Bingxin YangTRIUMF and Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T2A3Satoshi UchidaEngineering Research Institute, Faculty of Engineering, University of Tokyo, Tokyo 113, JapanH. TakagiEngineering Research Institute, Faculty of Engineering, University of Tokyo, Tokyo 113, JapanJ. GopalakrishnanE. I. du Pont de Nemours and Company, Experimental Station, Wilmington, Delaware 19880-0262A.W. SleightE. I. du Pont de Nemours and Company, Experimental Station, Wilmington, Delaware 19880-0262M.A. SubramanianE. I. du Pont de Nemours and Company, Experimental Station, Wilmington, Delaware 19880-0262C. L. ChienDepartment of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218Marta Z. CieplakDepartment of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218Gang XiaoDepartment of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218V. Y. LeeIBM Almaden Research Center, San Jose, California 95120B. W. StattDepartment of Physics, University of Toronto, Toronto, Ontario, Canada M3H5T6C. E. StronachDepartment of Physics, Virginia State University, Petersburg, Virginia 23803W. J. KosslerCollege of William and Mary, Williamsburg, Virginia 23185Xiaodong YuCollege of William and Mary, Williamsburg, Virginia 23185
1989lv
ABI

Аннотация

The muon-spin-relaxation rate $\ensuremath{\sigma}$ has been measured in sixteen specimens of high-${T}_{c}$ cuprate superconductors (the 2:1:4, 1:2:3, 2:2:1:2, and 2:2:2:3 series). This has allowed us to study the magnetic field penetration depth $\ensuremath{\lambda}$ and thus the superconducting carrier density ${n}_{s}$ divided by the effective mass ${m}^{*}(\ensuremath{\sigma}\ensuremath{\propto}\frac{1}{{\ensuremath{\lambda}}^{2}}\ensuremath{\propto}\frac{{n}_{s}}{{m}^{*}})$. A universal linear relation between ${T}_{c}$ and $\ensuremath{\sigma}(T\ensuremath{\rightarrow}0)\ensuremath{\propto}\frac{{n}_{s}}{{m}^{*}}$ has been found with increasing carrier doping. In heavily doped samples, however, ${T}_{c}$ shows saturation and suppression with increasing $\frac{{n}_{s}}{{m}^{*}}$. This saturation starts at different values of $\frac{{n}_{s}}{{m}^{*}}$ for materials with different multiplicities of CuO planes.

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