Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
| Autor: | Montenegro-Filho, R. R., Matias, F. S., Coutinho-Filho, M. D. |
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| Rok vydání: | 2020 |
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| Zdroj: | Phys. Rev. B 102, 035137 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.102.035137 |
| Popis: | 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. Comment: 10 pages, 10 figures |
| Databáze: | arXiv |
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