Fig. 1: Landau level spreading (LLS) of an isolated flat band (IFB).
From: Geometric characterization of anomalous Landau levels of isolated flat bands

a The band structure of a two-dimensional system in the absence of a magnetic field. The second band with the energy ε2(k) = 0 corresponds to the IFB. The inter-band coupling \({\varepsilon }_{m}({{{{{{{\bf{k}}}}}}}}){\chi }_{xy}^{m2}({{{{{{{\bf{k}}}}}}}})\) of the IFB with the other dispersive band of the energy εm(k)(m = 1, 3, 4) is indicated by a dashed vertical arrow. b The modified band dispersion En,B(k)(n = 1, …, 4) in the presence of the magnetic field. The corresponding Landau levels are shown by red solid lines. The LLS of the IFB is represented by the green arrow.