328 citations · 4k across the 90 of their papers we have counts for
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From Knots to Crystals: Machine-Learned Potentials for Self-Assembling Topological Solitons in Liquid Crystals
Arunkumar Bupathy, Darian Hall, Ivan I. Smalyukh +3
Knotted fields in classical and quantum systems have long been recognized for their non-trivial topologies and particle-like behavior, but practical applications have been limited…
Fusion and Fission of Particle-like Chiral Nematic Vortex Knots
Darian Hall, Jung-Shen Benny Tai, Louis H. Kauffman +1
Vortex knots have been seen decaying in many physical systems. Here we describe topologically protected vortex knots, which remain stable and undergo fusion and fission while conse…
Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics
Tetiana Orlova, Amaranta Membrillo Solis, Hayley R. O. Sohn +5
Understanding the behavior and evolution of a dynamical many-body system by analyzing patterns in their experimentally captured images is a promising method relevant for a variety…
Emergent discrete space-time crystal of Majorana-like quasiparticles in chiral liquid crystals
Hanqing Zhao, Rui Zhang, Ivan I. Smalyukh
Time crystals spontaneously break the time translation symmetry, as recently has been frequently reported in quantum systems. Here we describe the observation of classical analogue…
Space-time crystals from particle-like topological solitons
Hanqing Zhao, Ivan I. Smalyukh
Time crystals are unexpected states of matter that spontaneously break time translation symmetry either in a discrete or continuous manner. However, spatially-mesoscale space-time…
Analysis of Hopf solitons as generalized fold maps
Yuta Nozaki, Darian Hall, Ivan I. Smalyukh +1
The Hopf index, a topological invariant that quantifies the linking of preimage fibers, is fundamental to the structure and stability of hopfions. In this work, we propose a new ma…