Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911930258554880 |
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| author | Cai, Jia-Qi Shu, Yu-Rong Rao, Xue-Qing Yin, Shuai |
| author_facet | Cai, Jia-Qi Shu, Yu-Rong Rao, Xue-Qing Yin, Shuai |
| contents | We study the imaginary-time relaxation critical dynamics of the Neel-paramagnetic quantum phase transition in the two-dimensional (2D) dimerized S = 1/2 Heisenberg model. We focus on the scaling correction in the short-time region. A unified scaling form including both short-time and finite-size corrections is proposed. According to this full scaling form, improved short-imaginary-time scaling relations are obtained. We numerically verify the scaling form and the improved short-time scaling relations for different initial states using projector quantum Monte Carlo algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model Cai, Jia-Qi Shu, Yu-Rong Rao, Xue-Qing Yin, Shuai Strongly Correlated Electrons Statistical Mechanics We study the imaginary-time relaxation critical dynamics of the Neel-paramagnetic quantum phase transition in the two-dimensional (2D) dimerized S = 1/2 Heisenberg model. We focus on the scaling correction in the short-time region. A unified scaling form including both short-time and finite-size corrections is proposed. According to this full scaling form, improved short-imaginary-time scaling relations are obtained. We numerically verify the scaling form and the improved short-time scaling relations for different initial states using projector quantum Monte Carlo algorithm. |
| title | Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2403.09084 |