Copper–nitroxide based breathing crystals: a unified mechanism of gradual magnetostructural transition supported by quantum chemistry calculations

A unified mechanism, based on the thermal average of two limit phases, governs the gradual magnetic transitions of Cu(hfac)2LR complexes.

SIMP dark matter and its cosmic abundances

We give a review on the thermal average of the annihilation cross-sections for 3 → 2 and general higher-order processes. Thermal average of higher order annihilations highly depend on the velocity of dark matter, especially, for the case with resonance poles. We show such examples for scalar dark matter in gauged Z3 models.