Pressure and isotope effect on the anisotropy of MgB${}_2$

Abstract

We analyze the data for the pressure and boron isotope effect on the temperature dependence of the magnetization near $T_c$. Invoking the universal scaling relation for the magnetization at fixed magnetic field it is shown that the relative shift of $T_c$, induced by pressure or boron isotope exchange, mirrors essentially that of the anisotropy. This uncovers a novel generic property of anisotropic type II superconductors, inexistent in the isotropic case. For MgB${}_2$ it implies that the renormalization of the Fermi surface topology due to pressure or isotope exchange is dominated by a mechanism controlling the anisotropy.

7 pages, 3 figures

References in corpus (11)

• The reduced total isotope effect and its implications on the nature of superconductivity in MgB2
• Temperature and field dependence of the anisotropy of MgB2
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
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• Fermi surface topology and the upper critical field in two-band superconductors - application to MgB2
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• Universal properties of cuprate superconductors
• Reversible magnetization measurement of the anisotropy of the London penetration depth in MgB2 single crystals
• Absence of a boron isotope effect in the magnetic penetration depth of MgB${}_2$
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• Relationship between and implications of the isotope and pressure effects on transition temperature, penetration depths and conductivities

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