Table 1.

Properties of vortex–vortex correlations in superconducting vanadium

The topologically pristine Bragg glass phase is predicted by elastic theory with weak underlying disorder¹¹. It has quasi-long-range positional order comprising of logarithmically growing displacements b(r) ∝ ln r and algebraically decaying translational correlations $c_{\mathrm{g}}\left(r\right)\propto r^{-{\eta }_g}$ at large length scales r > r_A. At smaller scales r < r_A, correlations show the behaviour of a random manifold with b(r) ∝ r^2ζ and c_g(r) ∝ exp[−(r/Λ_g)^2β]. Our observed exponents in the Bragg glass phase are compared with predicted values from elastic theory^9,11. A slight dependence of these exponents on the elastic moduli is expected⁹ and here we list values appropriate for our vanadium sample. The Bragg glass is expected to become unstable at higher fields or temperatures. As shown by the data at 2.7 K and 0.17 T, the asymptotic regime is the first to be suppressed as the vortex ensemble disorders