0:00:04i'm happy birthday season artificial spam you generous each vertex frustration
0:00:09in this paper we saw longstanding problem for artificial intelligence
0:00:13we show how to create artificial sp a nice with extensive residual entropy not by
0:00:17splitting the generative the vertex level but with and frustration allocating verses on lattice
0:00:23first let starts in historical context by considering points were groundwater eyes
0:00:28the location of hydrogen increased water exhibits so called ice will to nearby in too
0:00:33far away from each of which ensures charge neutrality within each tetrahedron
0:00:38configuration is clearly not unique in this enormous the genders due to residual entropy a
0:00:43low temperatures which are estimated with the simple calculation
0:00:46my is a point estimate is entirely local depends on the only nice rules around
0:00:52a single oxygen was not directly depend on the configuration next nearest neighbours and you
0:00:56know
0:00:58and equal description of the arrows captures the ice rules to end to outreach tetrahedron
0:01:02this is a clear picture first in ice crystals which the arrows represent rare earth
0:01:08magnetic
0:01:09artificial noise or yes i was proposes a two dimensional analogue to three be nice
0:01:16the power for lattice and two d you'll the simple square lattice
0:01:20however this break the generously the ice roland so squarey aside as a you need
0:01:24perfectly word ground state
0:01:27well right workarounds been proposed since unsatisfied most besides lack one of the fundamental properties
0:01:33make natural specialise interesting
0:01:35here we propose a general that the engineering limitless number of asr lattices with massively
0:01:41to generate ground states
0:01:42our recipe exploit geometric frustration to construct and use your frustration between a vertex frustration
0:01:49i was this work
0:01:51in the square asr grounds to a given a pairwise interactions are frustrated lattice still
0:01:56allows every vertex again and then energy configuration perpendicular spins nose to tail colin years
0:02:02in parallel
0:02:04similarly as a nice every tetrahedron in the lattice can simultaneously in a nice will
0:02:09configuration
0:02:10now consider a vertex trust rate as mutual arrangement of verses means not every projects
0:02:16the in the lowest energy configuration
0:02:19somewhere on this new there has to be an unhappy vertex must take a higher
0:02:23energy configuration
0:02:25while these and accuracies appeared the expectations there are they are harder to ground statements
0:02:31cannot be removed as we present paper
0:02:33we also too general rules to distinguish vertex frustrated and non frustrated lattices without knowing
0:02:39the ground state since finding grass a structured usually not obvious
0:02:43it turns out it will also help in constructing ground states
0:02:47how this project frustration lead to extend the residual entropy
0:02:51using more freedom in were placed at versus as many possible choices strain energy
0:02:58also humans that one can construct an essentially wiper vertex frustrated lattices which can be
0:03:04designed a certain interesting properties
0:03:06we set out to create as i was expensive entropy
0:03:09along the way we found any other interesting properties can one for three such as
0:03:14mobile personalisation spontaneous symmetry breaking and spectacle and phases
0:03:19this example percent so called multiple personalisation in analogy we extract side
0:03:24three average disappear if you're an exact multiples and more range interactions between these models
0:03:29all was partially break the generously ground station previously
0:03:34errors the practicality associate each super sell all possible highland this result break the lattices
0:03:40rotational symmetry to produce a semantic like phrases like symmetry
0:03:45for contrary examples lattices for multiple presliced configurations
0:03:51satisfies to do i ground state rules
0:03:55circle nearest neighbours are more secure like charges
0:03:58this example also exhibits quite phase which order back but separate disordered staircases
0:04:05also features monocle crystallise ground state
0:04:10c or i encourage you to read paper