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SUMMARY:Defect emission and absorption for liquid crystals on cones - Davi
 d Nelson (Harvard University)
DTSTART:20230707T140000Z
DTEND:20230707T143000Z
UID:TALK201205@talks.cam.ac.uk
DESCRIPTION:Cones with order in the local tangent plane provide a soft mat
 ter analog of the Aharonov-Bohm effect.&nbsp\;&nbsp\; We study two-dimensi
 onal liquid crystals with p-fold rotational symmetry (p-atics) on the surf
 aces of cones\, and find both the ground state and a ladder of quantized m
 etastable states as a function of both the cone angle and the liquid cryst
 al symmetry p.&nbsp\;&nbsp\;&nbsp\; These states are characterized by a fr
 actional defect charge at the apex and the ground states are in general fr
 ustrated due to effects of parallel transport along the azimuthal directio
 n on the cone. We check our predictions numerically for a set of commensur
 ate cone angles\, whose surfaces can be polygonized as a perfect triangula
 r or square mesh\, and find good agreement.&nbsp\;&nbsp\;&nbsp\; When tang
 ential boundary conditions are applied at the base\, the cone apex absorbs
  and emits quantized defect charges\, as a function of cone angle. &nbsp\;
  Defect emission and absorption events at the apex change dramatically whe
 n we consider active nematics on cones. &nbsp\; \n[1]&nbsp\; Grace Zhang\,
  and D. R. Nelson\, Phys. Rev. E 105\, 054703 (2022)&nbsp\; &nbsp\; &nbsp\
 ; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; 
 &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &n
 bsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbs
 p\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; [2] Farzan Vafa\, G. H. Zhang\, and D.
  R. Nelson\, Phys. Rev. E 106\, 024704 (2022)&nbsp\; &nbsp\; &nbsp\; &nbsp
 \; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\;
  &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &nbsp\; &
 nbsp\; &nbsp\; &nbsp\; [3] Farzan Vafa\, D. R. Nelson\, and A. Doostmohamm
 adi\, arXiv:2304.06739 (2023)\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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