Quantum order by disorder in Frustrated Spin Nanotubes
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909301052801024 |
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| author | Getelina, João C. Zhuang, Zekun Chandra, Premala Coleman, Piers Orth, Peter P. Sondhi, S. L. |
| author_facet | Getelina, João C. Zhuang, Zekun Chandra, Premala Coleman, Piers Orth, Peter P. Sondhi, S. L. |
| contents | We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a $J_1$-$J_2$ Heisenberg model at 45$^\circ$ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have computed the ground-state phase diagram to reveal a $\mathbb{Z}_2$ phase in which collinear spin stripes form a right or left handed helix around the nanotube. We have derived an analytic estimate for the critical $η_c=J_1/2J_2$ of the $\mathbb{Z}_2$ helical phase transition, which is in agreement with the DMRG results. By evaluating the entanglement spectrum and nonlocal string order parameters we discuss the topology of the $\mathbb{Z}_2$-helical phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04690 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum order by disorder in Frustrated Spin Nanotubes Getelina, João C. Zhuang, Zekun Chandra, Premala Coleman, Piers Orth, Peter P. Sondhi, S. L. Strongly Correlated Electrons We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a $J_1$-$J_2$ Heisenberg model at 45$^\circ$ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have computed the ground-state phase diagram to reveal a $\mathbb{Z}_2$ phase in which collinear spin stripes form a right or left handed helix around the nanotube. We have derived an analytic estimate for the critical $η_c=J_1/2J_2$ of the $\mathbb{Z}_2$ helical phase transition, which is in agreement with the DMRG results. By evaluating the entanglement spectrum and nonlocal string order parameters we discuss the topology of the $\mathbb{Z}_2$-helical phase. |
| title | Quantum order by disorder in Frustrated Spin Nanotubes |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2303.04690 |