Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons

Abstract

We study an exactly solvable model of $D(D_3)$ non-Abelian anyons on a one-dimensional lattice with a free coupling parameter in the Hamiltonian. For certain values of the coupling parameter level crossings occur, which divide the ground-state phase diagram into four regions. We obtain explicit expressions for the ground-state energy in each phase, for both closed and open chain boundary conditions. For the closed chain case we show that chiral phases occur which are characterised by non-zero ground-state momentum.

21 pages, accepted to be published in Nucl. Phys. B

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Cited by in corpus (5)

• Translation invariance, topology, and protection of criticality in chains of interacting anyons
• The $D(D_3)$-anyon chain: integrable boundary conditions and excitation spectra
• Elaborating the phase diagram of spin-1 anyonic chains
• Integrable Hamiltonians with $D(D_n)$ symmetry from the Fateev-Zamolodchikov model
• Collective states of interacting $D(D_3)$ non-Abelian anyons