Nonlinear response and scaling law in the vortex state of d-wave superconductors

Details Nonlinear response and scaling law in the vortex state of d-wave superconductors Nonlinear response and scaling law in the vortex state of d-wave superconductors

2000-12-18

arxiv.org/abs/cond-mat/0012336v1

Physics

Condensed Matter

Superconductivity

11 pages, 4 figures

Scientific paper

10.1209/epl/i2001-00302-7

We study the field dependence of the quasi-particle density of states, the thermodynamics and the transport properties in the vortex state of d-wave superconductors when a magnetic field is applied perpendicular to the conducting plane, specially for the low field and the low temperature compared to the upper critical field and transition temperature, respectively, $H/H_{c2} \ll 1$ and $T/T_c \ll 1$. Both the superfluid density and the spin susceptibility exhibit the characteristic $\sqrt{H}$-field dependence, while the nuclear spin lattice relaxation rate T$_1^{-1}$ and the thermal conductivity are linear in field $H$. With increasing temperature, these quantities exhibit the scaling behavior in $T/\sqrt{H}$. The present theory applies to 2D $f$-wave superconductor as well; a possible candidate of the superconductivity in Sr$_2$RuO$_4$.

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