Non-Reciprocal Frustration: Time Crystalline Order-by-Disorder Phenomenon and Spin-Glass-Like States

Explore the concept of non-reciprocal frustration and its implications in this 31-minute lecture by Ryo Hanai from PCS Institute for Basic Science. Delve into the dynamical counterpart of geometrical frustration arising from non-reciprocal interactions. Examine how non-reciprocal systems with anti-symmetric coupling generate marginal orbits, analogous to accidental degeneracy in frustrated systems. Discover how these "accidental degeneracies" of orbits can be lifted by stochastic noise or weak random disorder, leading to order-by-disorder phenomena with time crystalline order. Investigate numerical evidence of a non-reciprocity-induced spin-glass-like state exhibiting aging and power-law temporal relaxation. Gain insights into the unexpected link between complex magnetic materials and non-reciprocal matter physics.