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Article Dans Une Revue Physical Review B Année : 2020

Symmetry-protected topological phases in a two-leg SU(N) spin ladder with unequal spins

Résumé

Chiral Haldane phases are examples of one-dimensional topological states of matter which are protected by the projective SU(N) group (or its subgroup ZN×ZN) with N>2. The unique feature of these symmetry-protected topological (SPT) phases is that they are accompanied by inversion-symmetry breaking and the emergence of different left and right edge states which transform, for instance, respectively in the fundamental (N) and antifundamental (N¯) representations of SU(N). We show, by means of complementary analytical and numerical approaches, that these chiral SPT phases as well as the nonchiral ones are realized as the ground states of a generalized two-leg SU(N) spin ladder in which the spins in the first chain transform in N and the second in N¯. In particular, we map out the phase diagram for N=3 and 4 to show that all the possible symmetry-protected topological phases with projective SU(N) symmetry appear in this simple ladder model.

Dates et versions

hal-02372436 , version 1 (20-11-2019)

Identifiants

Citer

Sylvain Capponi, P. Fromholz, P. Lecheminant, K. Totsuka. Symmetry-protected topological phases in a two-leg SU(N) spin ladder with unequal spins. Physical Review B, 2020, 101 (19), pp.195121. ⟨10.1103/PhysRevB.101.195121⟩. ⟨hal-02372436⟩
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