Abstract
We calculate the line tension of a tilted stack of magnetically coupled two-dimensional pancake vortices held at the ends and show that the line tension becomes negative at an angle of 52\ifmmode^\circ\else\textdegree\fi{}. We further calculate the tilt modulus at arbitrary angle \ensuremath{\theta} and show that it becomes negative starting at the same angle 52\ifmmode^\circ\else\textdegree\fi{} for long wavelengths. A structure for the vortex line is given, which is shown to have a lower energy. \textcopyright{} 1996 The American Physical Society.
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