Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions

Details Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions

2012-04-23

arxiv.org/abs/1204.5162v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages +refs, 1 table, 5 figures (with 6-paged supplemental material)

Scientific paper

Spin-1/2 two-legged ladders respecting inter-leg exchange symmetry and D2 spin rotation symmetry have new symmetry protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz, which all have symmetry protected two-fold degenerate edge states on each end of the open boundaries. However, the edge states in different phases have different response to magnetic field. For example, the edge states in the tz phase will be split by the magnetic field along the z-direction, but not by the fields in the x- and y-directions. We give the Hamiltonian that realizes each SPT phase and demonstrate a proof-of-principle quantum simulation scheme for Hamiltonians of the t0 and tz phases based on coupled-QED-cavity ladder.

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