Rotational glass transitions and jamming without quenched disorder in a large dimensional limit
Hajime Yoshino
arXiv:1704.01216 [cond-mat.stat-mech]

We study glass transitions and jamming of supercooled vectorial spin systems without quenched disorder in a large dimensional limit. Our theory provides a unified mean-field theoretical framework for glass transitions of rotational degree of freedoms such as color angles in the continuous coloring of graphs, vector spins of geometrically frustrated magnets, directors of Janus particles and ellipsoids. The rotational glass transitions accompany various types of replica symmetry breaking. In the case of repulsive hardcore interactions in the spin space, the criticality of the jamming or SAT/UNSTAT transition becomes the same as that of hardspheres.