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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.04120 |
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| _version_ | 1866915679710478336 |
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| author | Siew, Rui Xian Chandrasekharan, Shailesh Kaul, Ribhu K. |
| author_facet | Siew, Rui Xian Chandrasekharan, Shailesh Kaul, Ribhu K. |
| contents | We introduce a simple lattice spin model that is written in terms of the well-known four-dimensional $γ$-matrix representation of the Clifford algebra. The local spins with a four-dimensional Hilbert space transform in a spinorial $(1/2,0) \oplus (0,1/2)$ representation of $SO(4)$, a symmetry of our model. When studied on a chain, and as a function of a transverse field tuning parameter, our model undergoes a quantum phase transition from a valence bond solid phase to a critical phase that is described by an $SU(2)_1$ WZW field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04120 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transverse Field $γ$-Matrix Spin Chains Siew, Rui Xian Chandrasekharan, Shailesh Kaul, Ribhu K. Strongly Correlated Electrons We introduce a simple lattice spin model that is written in terms of the well-known four-dimensional $γ$-matrix representation of the Clifford algebra. The local spins with a four-dimensional Hilbert space transform in a spinorial $(1/2,0) \oplus (0,1/2)$ representation of $SO(4)$, a symmetry of our model. When studied on a chain, and as a function of a transverse field tuning parameter, our model undergoes a quantum phase transition from a valence bond solid phase to a critical phase that is described by an $SU(2)_1$ WZW field theory. |
| title | Transverse Field $γ$-Matrix Spin Chains |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.04120 |