4 papers
Geometry and relaxation dynamics of nematic loops
F. Aprile, A. J. H. Houston, G. Gonnella +3
Disclination lines in three-dimensional nematic liquid crystals generically form closed loops whose topology is classified by homotopy theory. While this classification successfull…
On the geometric algebras of the Ising model
N. Johnson, D. Marenduzzo, A. Morozov +2
We revisit the classical transfer matrix solution of the one- and two-dimensional Ising model from the perspective of Clifford and conformal geometric algebras. Building on Kaufman…
Braiding and exchange statistics of liquid crystalline Majorana quasiparticles
A. I. Tóth, G. Negro, A. D. Huxley +1
Liquid crystalline defects in 3D can be viewed as geometric spinors, whose emergent properties are reminiscent of those of topological excitations in quantum condensed matter, such…
Clifford algebras and liquid crystalline fermions
N. Johnson, L. C. Head, O. D. Lavrentovich +6
We show that Clifford algebras provide a natural language to describe the physics of liquid crystal defects in 3D. This framework shows that most of these defects have fermionic na…