Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms

Abstract

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a controllable manner. The symmetry protection of the phase transition is discussed from two different viewpoints: topological properties related to spatial patterns of Kondo singlets, and symmetry eigenvalues of the spin states. We uncover the role of various symmetries in the phase diagram of this system by combining a weak-coupling approach by Abelian bosonization and strong-coupling pictures of ground states. Furthermore, we show that the bosonization approach correctly describes a crossover from a fermionic SPT phase to a bosonic SPT phase and an associated change of protecting symmetries as the charge degrees of freedom are frozen by the Hubbard repulsion.

14 pages, 3 figures

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Cited by in corpus (10)

• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Parity-dependent phase diagrams in spin-cluster two-leg ladders
• Emergent Haldane phase in an alternating bond ${\mathbb{Z}}_3$ parafermion chain