Abstract
The problem of the existence of spiral vortices propagating along the c-axis in an anisotropic superconductor is reconsidered using the London approach for the interaction between vortex elements. We show that there is no spiral instability for a single vortex in contradiction to recent results of Koyama and Tachiki. We discuss briefly that a dilute vortex lattice is also stable against small amplitude leading to a spiral configuration using nonlocal elastic theory. However, a spiral instability is possible in the presence of a current along the vortex line.
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