Fig. 7: Robustness of the magnetic-field-induced topological phases against disorders for a chain with N = 6 sites.
From: Topological phases of a dimerized Fermi–Hubbard model for semiconductor nano-lattices
The mean values of the weak and strong hopping amplitudes are 2 and 6 meV, and hence ∣Δt∣, which is half of the hopping amplitude difference, is 2 meV. The on-site interaction is U = 40 meV. The maximum variations in the on-site energy and hopping amplitude disorder are both ∣Δt∣∕2 (see text). The distributions are generated from a sample of 5000 random instances. a Probability distributions of the addition energy gap at quarter filling for B > Bc (dark green) and a finite-size addition energy separation within the lower Hubbard band (dark blue), showing that the gap is much larger and distinct from other energy differences arising from finite-size effects. b Probability distribution of the critical magnetic field Bc assuming a g-factor of 2. c A typical conductance spectrum of the disordered system for B > Bc in the trivial phase (dashed blue) and non-trivial phase (solid red). The appearance of the high rising edge-state peak in the non-trivial phase is clearly visible. d Probability distribution of the many-body Zak phase for B > Bc, which shows only a small deviation from the ideal value of π.
