Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915181111541760 |
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| author | Mudry, Christopher Aksoy, Ömer M. Chamon, Claudio Furusaki, Akira |
| author_facet | Mudry, Christopher Aksoy, Ömer M. Chamon, Claudio Furusaki, Akira |
| contents | The anisotropic quantum spin-1/2 XY model on a linear chain was solved by Lieb, Schultz, and Mattis in 1961 and shown to display a continuous quantum phase transition at the O(2) symmetric point separating two gapped phases with competing Ising long-range order. For the square lattice, the following is known. The two competing Ising ordered phases extend to finite temperatures, up to a boundary where a transition to the paramagnetic phase occurs, and meet at the O(2) symmetric critical line along the temperature axis that ends at a tricritical point at the Berezinskii-Kosterlitz-Thouless transition temperature where the two competing phases meet the paramagnetic phase. We show that the first-order zero-temperature (quantum) phase transition that separates the competing phases as a function of the anisotropy parameter is smoothed by thermal fluctuations into deconfined classical criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice Mudry, Christopher Aksoy, Ömer M. Chamon, Claudio Furusaki, Akira Strongly Correlated Electrons The anisotropic quantum spin-1/2 XY model on a linear chain was solved by Lieb, Schultz, and Mattis in 1961 and shown to display a continuous quantum phase transition at the O(2) symmetric point separating two gapped phases with competing Ising long-range order. For the square lattice, the following is known. The two competing Ising ordered phases extend to finite temperatures, up to a boundary where a transition to the paramagnetic phase occurs, and meet at the O(2) symmetric critical line along the temperature axis that ends at a tricritical point at the Berezinskii-Kosterlitz-Thouless transition temperature where the two competing phases meet the paramagnetic phase. We show that the first-order zero-temperature (quantum) phase transition that separates the competing phases as a function of the anisotropy parameter is smoothed by thermal fluctuations into deconfined classical criticality. |
| title | Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.17605 |