Fig. 2
Spectra of Hamiltonian Eq. (3) on a cylinder with circumference \(L_y{\mathrm{/}}\ell _B = 15.0\), NΦ = 21 flux quanta, 1/(2C) = 0.256271, N0 = 30, and a linear symmetric chemical potential μ m as shown in Fig. 1b. a Spectrum of a single layer of the cylinder with 6 fermions. Energies are shifted such that the ground state energy is zero. Shaded areas are a guide for the eye showing the ‘arcs’ in the relative momentum K y arising from the edge states of the Hall droplet. The inset is a zoom on the low lying state within the gray box, showing the energy difference δE between the first excited state and the ground state. b and c are spectra for the full double layer with (b) Δ0 = 0 while in (c) Δ0 = 2.1 with Norb,sc = 16 superconducting orbitals. Blue figures give the number of states in the circle. In (c), the superconducting gap in the edge states is apparent from the three topological “ground states” moving below the bottom of the next arc. Orange states have total spin S z = 0, gray states S z = 1, and states with higher spin only appear above this energy window. Both spectra symmetrically extend to K y → −K y
