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.
(79) The ground state (79) generates a tower of excited states obtained by adding an arbitrary even number of spinons, bulk strings and quartets
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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.