Paramagnetic Meissner effect in ZrB12 single crystal with non-monotonic vortex-vortex interactions
Jun-Yi Ge, Vladimir N. Gladilin, Nikolay E. Sluchanko, A. Lyashenko,, Volodimir B. Filipov, Joseph O. Indekeu, Victor V. Moshchalkov

TL;DR
This study investigates the paramagnetic Meissner effect in ZrB12 single crystals, revealing vortex cluster behavior and constructing a phase diagram to explain the phenomenon through vortex interactions and thermal effects.
Contribution
It provides a detailed analysis of PME in ZrB12, highlighting the role of non-monotonic vortex interactions and thermal fluctuations in vortex behavior.
Findings
Observation of vortex cluster flux behavior
Construction of a vortex phase diagram
Explanation of PME via vortex interactions and thermal effects
Abstract
The magnetic response related to paramagnetic Meissner effect (PME) is studied in a high quality single crystal ZrB12 with non-monotonic vortex-vortex interactions. We observe the expulsion and penetration of magnetic flux in the form of vortex clusters with increasing temperature. A vortex phase diagram is constructed which shows that the PME can be explained by considering the interplay among the flux compression, the different temperature dependencies of the vortex-vortex and the vortex-pin interactions, and thermal fluctuations. Such a scenario is in good agreement with the results of the magnetic relaxation measurements.
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