The complete boundary field phase diagram of the gapped XXZ chain is derived, with phases classified by ground state and by the number of boundary bound states, which equals the number of spectral towers.
In these cases both boundary magnetic fields point towards the same direction: along the positive z axis for the E1, E8 sub- phases and negative z axis for the E5, E4 sub-phases
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Complete Boundary Phase Diagram of the Spin-$\frac{1}{2}$ XXZ Chain with Boundary Fields in the Anti-Ferromagnetic Gapped Regime
The complete boundary field phase diagram of the gapped XXZ chain is derived, with phases classified by ground state and by the number of boundary bound states, which equals the number of spectral towers.