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SUMMARY:Non-reciprocal frustration physics - Ryo Hanai (Kyoto University)
DTSTART:20231109T150000Z
DTEND:20231109T160000Z
UID:TALK208234@talks.cam.ac.uk
DESCRIPTION:Having conflicting goals often leads to&nbsp\;frustration. The
  conflict occurs\, for example\, in systems that cannot simultaneously min
 imize all interaction energy between the constituents\, a situation known 
 as geometrical&nbsp\;frustration. A typical feature of these systems is th
 e presence of accidental ground state degeneracy that gives rise to a rich
  variety of unusual phenomena such as order-by-disorder and spin glasses. 
 In this talk\, I will show that a dynamical counterpart of these phenomena
  may arise from a fundamentally different\, non-equilibrium source of conf
 lict: non-reciprocal interactions [1]. I will show that non-reciprocal sys
 tems with anti-symmetric coupling generically generate marginal orbits tha
 t can be regarded as a dynamical counterpart of accidental degeneracy\, du
 e to the emerging Liouvilletype theorem. These &ldquo\;accidental degenera
 cies&rdquo\; of orbits are shown to often get &ldquo\;lifted&rdquo\; by st
 ochastic noise or weak random disorder to give rise to order-by-disorder p
 henomena with the peculiarity that the emerging state usually has a time c
 rystalline order. I further report numerical evidence of a non-reciprocity
 -induced spin-glass-like state that exhibits aging and a power-law tempora
 l relaxation associated with a short-ranged spatial correlation. This work
  provides an unexpected link between the physics of complex magnetic mater
 ials and non-reciprocal matter.\n&nbsp\;\n[1] R. Hanai\, arXiv:2208.08577.
LOCATION:Seminar Room 2\, Newton Institute
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