تقرير
The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
| العنوان: | The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids |
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| المؤلفون: | Tocchio, Luca F., Montorsi, Arianna, Becca, Federico |
| المصدر: | Phys. Rev. Research 3, 043082 (2021) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons |
| الوصف: | The existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations [A. Szasz, J. Motruk, M.P. Zaletel, and J.E. Moore, Phys. Rev. X {\bf 10}, 021042 (2020)]. Here, we report the results obtained within the variational Monte Carlo technique based upon Jastrow-Slater wave functions, implemented with backflow correlations. As in DMRG calculations, we consider $N$-leg cylinders. For $N=4$ and in the presence of a next-nearest neighbor hopping, a chiral spin liquid emerges between the metal and the insulator with magnetic quasi-long-range order. Within our approach, the chiral state is gapped and breaks the reflection symmetry. By contrast, for both $N=5$ and $N=6$, the chiral spin liquid is not the state with the lowest variational energy: in the former case a nematic spin liquid is found in the entire insulating regime, while for the less frustrated case with $N=6$ the results are very similar to the one obtained on two-dimensional clusters [L.F. Tocchio, A. Montorsi, and F. Becca, Phys. Rev. B {\bf 102}, 115150 (2020)], with an antiferromagnetic phase close to the metal-insulator transition and a nematic spin liquid in the strong-coupling regime. Comment: 9 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.3.043082 |
| URL الوصول: | http://arxiv.org/abs/2105.00920 |
| رقم الأكسشن: | edsarx.2105.00920 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevResearch.3.043082 |
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