Fig. 1

Exact diagonalization results. a Energy spectrum of Eq. (3) for N_L = 3 and \(2N_{\mathrm{H}} = 6\) particles in N_orb = 23 orbitals, \(N_{{\mathrm{orb}}}^{{\mathrm{Lgh}}} = 8\) are polarized, on a cylinder of perimeter \(L = 12\ell _B\). Low energy features detach from the continuum, hinting toward an interesting low energy physics coming from the interface. b Spin-resolved densities for the ground state of Eq. (3) for N_H = 4 spin up and N_H + N_L = 8 spin down particles in N_orb = 30 orbitals, \(N_{{\mathrm{orb}}}^{{\mathrm{Lgh}}} = 10\) of which are completely polarized. It is the only state detaching from the continuum and arises for a center of mass momentum K_y = 40.5. For this system size, the ED calculation captures both the interface and bulk physics as can be seen from the plateaus of densities at both edges of the sample