Novel vortex lattice transition in d-wave superconductors

Abstract

We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos (4\varphi )$ where $\varphi$ is the angle $\mathbf{r}$ makes with the $a$-axis. This term gives rise to an attractive interaction between two vortices when they are aligned parallel to $(1,1,0)$ or $(1,-1,0)$. We predict the first order vortex lattice transition at $B=H_{cr}\sim {\kappa }^{-1}{H}_{c2}(t)$ from triangular into the square lattice tilted by $45^{\circ }$ from the $a$ axis. This gives the critical field $H_{cr}$ a few Tesla for YBCO and Bi2212 monocrystals at low temperatures ($T\le 10K$).

6 pages, 4 figures

References in corpus (1)

• Low-lying excitations around a single vortex in a d-wave superconductor

Cited by in corpus (15)

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• Remarkable change of tunneling conductance in YBCO films in fields up to 32.4T
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