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We have studied the angular dependence of the irreversible magnetization of several YBaCuO and 2H-NbSe single crystals with columnar defects tilted off the c-axis. At high magnetic fields, the irreversible magnetization exhibits a well known maximum when the applied field is parallel to the tracks. As the field is decreased below $H \sim 0.02 H_{c2}$, the peak shifts away from the tracks’ direction toward either the c-axis or the ab-planes. We demonstrate that this shift results from the misalignment between the external and internal field directions due to the competition between anisotropy and geometry effects.

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