Two-leg SU(2n) spin ladder: A low-energy effective field theory approach

Abstract

We present a field theory analysis of a model of two SU(2n)-invariant magnetic chains coupled by a generic interaction preserving time reversal and inversion symmetry. Contrary to the SU(2)-invariant case the zero-temperature phase diagram of such two-leg spin ladder does not contain topological phases. Only generalized Valence Bond Solid phases are stabilized when n>1 with different wave vectors and ground-state degeneracies. In particular, we find a phase which is made of a cluster of 2n spins put in an SU(2n) singlet state. For n=3, this cluster phase is relevant to ytterbium ultracold atoms, with an emergent SU(6) symmetry, loaded in double well optical lattice.

arXiv comment16 pages

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• Studying the Perturbed Wess-Zumino-Novikov-Witten SU(2)k Theory Using the Truncated Conformal Spectrum Approach
• Exact diagonalization of Heisenberg $SU(N)$ chains in the fully symmetric and antisymmetric representations
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• Massless renormalization group flow in SU(N)${}_k$ perturbed conformal field theory
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Symmetry-protected topological phases in two-leg SU(N) spin ladder with unequal spins
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• 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