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Symmetry-protected topological order in SU(N) Heisenberg magnets --quantum entanglement and non-local order parameters
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In this paper, we investigate topological properties of the ground state of the SU(N) Heisenberg chain, which is argued to be relevant to the Mott-insulating phase of alkaline-earth cold fermions in a one-dimensional optical lattice. By calculating the entanglement spectrum, we show that the ground state is in one of the topological phases protected by SU(N) symmetry. We then discuss an alternative characterization of it with non-local string order parameters. We also consider how the reduction of the protecting symmetry affects the topological phase paying particular attention to the entanglement spectrum.
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Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
For the 1D SU(N) Fermi-Hubbard chain at filling 1/N, the author finds finite critical interactions Uc approximately 1.9, 2.2, 2.8 for N=3, 4, 6, and central charges consistent with N-1 (Mott) and N (metallic) critical modes.
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