Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators
SU(N) Mott insulators have been proposed and/or realized in solid-state materials and with ultracold atoms on optical lattices. We study the two-dimensional SU(N) antiferromagnets on the triangular lattice. Starting from an SU(N) Heisenberg model with the fundamental representation on each site in t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023138 |
| _version_ | 1797211008143458304 |
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| author | Xu-Ping Yao Yonghao Gao Gang Chen |
| author_facet | Xu-Ping Yao Yonghao Gao Gang Chen |
| author_sort | Xu-Ping Yao |
| collection | DOAJ |
| description | SU(N) Mott insulators have been proposed and/or realized in solid-state materials and with ultracold atoms on optical lattices. We study the two-dimensional SU(N) antiferromagnets on the triangular lattice. Starting from an SU(N) Heisenberg model with the fundamental representation on each site in the large-N limit, we perform a self-consistent calculation and find a variety of ground states including the valence cluster states, stripe ordered states with a doubled unit cell, and topological chiral spin liquids. The system favors a cluster or ordered ground state when the number of flavors N is less than 6. It is shown that increasing the number of flavors enhances quantum fluctuations and eventually transfers the clusterized ground states into topological chiral spin liquids. This chiral spin liquid ground state has an equivalent for the square lattice SU(N) magnets. We further identify the corresponding lowest competing states that represent another distinct type of chiral spin liquid state. We conclude with a discussion of the relevant systems and the experimental probes. |
| first_indexed | 2024-04-24T10:19:39Z |
| format | Article |
| id | doaj.art-a07e1ca2919242d38b72f31e3ec556f6 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:39Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
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| series | Physical Review Research |
| spelling | doaj.art-a07e1ca2919242d38b72f31e3ec556f62024-04-12T17:10:02ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202313810.1103/PhysRevResearch.3.023138Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulatorsXu-Ping YaoYonghao GaoGang ChenSU(N) Mott insulators have been proposed and/or realized in solid-state materials and with ultracold atoms on optical lattices. We study the two-dimensional SU(N) antiferromagnets on the triangular lattice. Starting from an SU(N) Heisenberg model with the fundamental representation on each site in the large-N limit, we perform a self-consistent calculation and find a variety of ground states including the valence cluster states, stripe ordered states with a doubled unit cell, and topological chiral spin liquids. The system favors a cluster or ordered ground state when the number of flavors N is less than 6. It is shown that increasing the number of flavors enhances quantum fluctuations and eventually transfers the clusterized ground states into topological chiral spin liquids. This chiral spin liquid ground state has an equivalent for the square lattice SU(N) magnets. We further identify the corresponding lowest competing states that represent another distinct type of chiral spin liquid state. We conclude with a discussion of the relevant systems and the experimental probes.http://doi.org/10.1103/PhysRevResearch.3.023138 |
| spellingShingle | Xu-Ping Yao Yonghao Gao Gang Chen Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators Physical Review Research |
| title | Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators |
| title_full | Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators |
| title_fullStr | Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators |
| title_full_unstemmed | Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators |
| title_short | Topological chiral spin liquids and competing states in triangular lattice SU(N) Mott insulators |
| title_sort | topological chiral spin liquids and competing states in triangular lattice su n mott insulators |
| url | http://doi.org/10.1103/PhysRevResearch.3.023138 |
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