Report
Quantum Hall states for $\alpha = 1/3$ in optical lattices
| Title: | Quantum Hall states for $\alpha = 1/3$ in optical lattices |
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| Authors: | Bai, Rukmani, Bandyopadhyay, Soumik, Pal, Sukla, Suthar, K., Angom, D. |
| Source: | Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons, Springer Proceedings in Physics 230, pp 211--221 (2019) |
| Publication Year: | 2019 |
| Collection: | Condensed Matter |
| Subject Terms: | Condensed Matter - Quantum Gases |
| Description: | We examine the quantum Hall (QH) states of the optical lattices with square geometry using Bose-Hubbard model (BHM) in presence of artificial gauge field. In particular, we focus on the QH states for the flux value of $\alpha = 1/3$. For this, we use cluster Gutzwiller mean-field (CGMF) theory with cluster sizes of $3\times 2$ and $3\times 3$. We obtain QH states at fillings $\nu = 1/2, 1, 3/2, 2, 5/2$ with the cluster size $3\times 2$ and $\nu = 1/3, 2/3, 1, 4/3, 5/3, 2, 7/3, 8/3$ with $3\times 3$ cluster. Our results show that the geometry of the QH states are sensitive to the cluster sizes. For all the values of $\nu$, the competing superfluid (SF) state is the ground state and QH state is the metastable state. Comment: 6 pages, 4 figures. This is a pre-submission version of the manuscript. The published version is available online in "Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons, Springer Proceedings in Physics 230, pp 211--221 (2019)". The final authenticated version is available online at : https://doi.org/10.1007/978-981-13-9969-5_20 |
| Document Type: | Working Paper |
| DOI: | 10.48550/arXiv.1911.08262 |
| Access URL: | http://arxiv.org/abs/1911.08262 |
| Accession Number: | edsarx.1911.08262 |
| Database: | arXiv |
| DOI: | 10.48550/arXiv.1911.08262 |
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