Ground state of the S = 1/2 Heisenberg spin chain with random ferro- and antiferromagnetic couplings
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929730741075968 |
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| author | Li, Sibei Shao, Hui Sandvik, Anders W. |
| author_facet | Li, Sibei Shao, Hui Sandvik, Anders W. |
| contents | We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and excitation gaps demonstrate an exotic critical state in qualitative agreement with previous strong-disorder renormalization group calculations but with scaling exponents depending on the coupling distribution. We find dual scaling regimes of the transverse correlations versus the distance, with an $L$ independent form $C(r)=r^{-μ}$ for $r \ll L$ and $C(r,L)=L^{-η}f(r/L)$ for $r/L > 0$, where $μ> η$ and the scaling function is delivered by our analysis. These results are at variance with previous spin-wave and density-matrix renormalization group calculations, thus highlighting the power of unbiased quantum Monte Carlo simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground state of the S = 1/2 Heisenberg spin chain with random ferro- and antiferromagnetic couplings Li, Sibei Shao, Hui Sandvik, Anders W. Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and excitation gaps demonstrate an exotic critical state in qualitative agreement with previous strong-disorder renormalization group calculations but with scaling exponents depending on the coupling distribution. We find dual scaling regimes of the transverse correlations versus the distance, with an $L$ independent form $C(r)=r^{-μ}$ for $r \ll L$ and $C(r,L)=L^{-η}f(r/L)$ for $r/L > 0$, where $μ> η$ and the scaling function is delivered by our analysis. These results are at variance with previous spin-wave and density-matrix renormalization group calculations, thus highlighting the power of unbiased quantum Monte Carlo simulations. |
| title | Ground state of the S = 1/2 Heisenberg spin chain with random ferro- and antiferromagnetic couplings |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.12911 |