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Novel vortex lattice transition in d-wave superconductors

Jun'ichi Shiraishi·Mahito Kohmoto·Kazumi Maki
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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 $\cos(4ϕ)$ where $ϕ$ is the angle ${\bf r}$ 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 $B=H_{cr}\sim κ^{-1} H_{c2}(t)$ 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 ($T\leq 10 K$).

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Jun'ichi Shiraishi, Mahito Kohmoto, Kazumi Maki. 1998-02-06. Novel vortex lattice transition in d-wave superconductors. https://doi.org/10.1103/physrevb.59.4497

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