Entangled multi-knot lattice model of anyon current |
(a) The lattice of over-crossing points with spherical periodic boundary condition. (b) The lattice of over-crossing points with torus periodic boundary condition. (c) Multilayer sphere of many layers of entangled knots. Each layer corresponds to a square lattice above. (d) Multilayer torus of many layers of entangled knots. (e) The mapping from over-crossing states of electric current and magnetic current to the two states of Ising spin. |