Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914848587120640 |
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| author | Márquez, B. F. Boidi, N. Aucar Hallberg, K. Aligia, A. A. |
| author_facet | Márquez, B. F. Boidi, N. Aucar Hallberg, K. Aligia, A. A. |
| contents | The XXZ spin-half chain has Heisenberg exchange interactions $J_z$ ($J_\perp$) in the $z$ ($x,y$) direction. The model has a transition from the spin-fluid phase for $-J_\perp < J_z < J_\perp$ to the Néel phase for $J_z > J_\perp >0$. When bond alternation $δ$ is included, the Néel phase transitions to the dimer phase for a finite value of $δ$. We determine the phase diagram using simple topological indicators related to the polarization of both spins. When a staggered magnetic field $B$ is included, a contour plot of these indicators as a function of $δ$ and $B$ determine the amount of topological quantized spin pumping around closed circuits in the $(δ,B)$ plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field Márquez, B. F. Boidi, N. Aucar Hallberg, K. Aligia, A. A. Strongly Correlated Electrons The XXZ spin-half chain has Heisenberg exchange interactions $J_z$ ($J_\perp$) in the $z$ ($x,y$) direction. The model has a transition from the spin-fluid phase for $-J_\perp < J_z < J_\perp$ to the Néel phase for $J_z > J_\perp >0$. When bond alternation $δ$ is included, the Néel phase transitions to the dimer phase for a finite value of $δ$. We determine the phase diagram using simple topological indicators related to the polarization of both spins. When a staggered magnetic field $B$ is included, a contour plot of these indicators as a function of $δ$ and $B$ determine the amount of topological quantized spin pumping around closed circuits in the $(δ,B)$ plane. |
| title | Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.01760 |