Fig. 5
From: Quasiparticles with fractional charges in fractionally filled systems
FFS states for a hexagonal lattice. The blue dots show the populated sites, the empty green dots show the vacant sites, the red dots show the populated sites of an alternative sub-lattice. (a) A hexagonal lattice at FFS with f = 1/3. (b) A hexagonal lattice at FFS f = 1/3 with one added particle shown in the red colour. (c) A “trapezoid” state for FFS f = 1/3 with one added particle. The corners of the red site polygon have effective charges of 2q/3, 2q/3 and –q/3. (d) A “triangular” state with two added particles for FFS f = 1/3. The corners of the triangle carry the charge of 2q/3. (e) A “string” state with one added particle for FFS f = 1/4 with two fractyons of charge q/2. (f) A “rectangular” state with one added particle and four fractyons of charge q/4.
