Fig. 5: Staircase behaviour of the filling fraction. | Communications Physics

Fig. 5: Staircase behaviour of the filling fraction.

From: Dynamical Aharonov-Bohm cages and tight meson confinement in a \({{\mathbb{Z}}}_{2}\)-loop gauge theory

Fig. 5

We plot the filling fraction ν as a function of the chemical potential μ/t at small values of the electric field strength h/t = 0.05, 0.10, and at J/t = 0.45. The length of the chain is L = 120. Plateaux at the fillings ν = 0, 1/2, 2/3, 1 denote incompressible configurations of the ground state associated to a constant value of the average flux \(\overline{W}\) and thus to the presence of cages of average size ℓAB ~ 1, 4, 3 and 2, respectively, as indicated in the labels above each plateaux.

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