Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid

Abstract

Quantum many-body edge and extended magnon excitations from the 1/3 -- plateau of the anisotropic Heisenberg model on an open AB${}_2$ chain in a magnetic field $h$ are unveiled using the density matrix renormalization group and exact diagonalization. By tuning both the anisotropy and $h$ in the rich phase diagram, the edge states penetrate in the bulk, whose gap closes in a symmetry-protected topological Kosterlitz-Thouless transition. Also, we witness the squeezed chain effect, the breaking of the edge states degeneracy, and a topological change of the excitations from gapped magnons with quadratic long-wavelength dispersion to a linear spinon dispersion in the Luttinger liquid gapless phase as the anisotropy $\lambda$ approaches the critical point from the $\lambda >0$ side of the phase diagram.

10 pages, 10 figures

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Cited by in corpus (9)

• Low temperature pseudo-phase transition in an extended Hubbard diamond chain
• Tangential finite-size scaling of the Gaussian topological transition in the quantum spin-1 anisotropic chain
• Ground-state phase diagram and thermodynamics of coupled trimer chains
• Accurate localization of Kosterlitz-Thouless-type quantum phase transitions for one-dimensional spinless fermions
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• Quantum bicritical point and phase separation in a frustrated Heisenberg ladder
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Mixed-spin Heisenberg ladders in a magnetic field
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain