Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866914815010668544 |
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| author | Dreyer, Henrik Vanderstraeten, Laurens Chen, Ji-Yao Verresen, Ruben Schuch, Norbert |
| author_facet | Dreyer, Henrik Vanderstraeten, Laurens Chen, Ji-Yao Verresen, Ruben Schuch, Norbert |
| contents | We study the response of critical Resonating Valence Bond (RVB) spin liquids to doping with longer-range singlets, and more generally of U(1)-symmetric tensor networks to non-symmetric perturbations. Using a field theory description, we find that in the RVB, doping constitutes a relevant perturbation which immediately opens up a gap, contrary to previous observations. Our analysis predicts a very large correlation length even at significant doping, which we verify using high-accuracy numerical simulations. This emphasizes the need for careful analysis, but also justifies the use of such states as a variational ansatz for critical systems. Finally, we give an example of a PEPS where non-symmetric perturbations do not open up a gap and the U(1) symmetry re-emerges. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_04833 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks Dreyer, Henrik Vanderstraeten, Laurens Chen, Ji-Yao Verresen, Ruben Schuch, Norbert Strongly Correlated Electrons Statistical Mechanics Quantum Physics We study the response of critical Resonating Valence Bond (RVB) spin liquids to doping with longer-range singlets, and more generally of U(1)-symmetric tensor networks to non-symmetric perturbations. Using a field theory description, we find that in the RVB, doping constitutes a relevant perturbation which immediately opens up a gap, contrary to previous observations. Our analysis predicts a very large correlation length even at significant doping, which we verify using high-accuracy numerical simulations. This emphasizes the need for careful analysis, but also justifies the use of such states as a variational ansatz for critical systems. Finally, we give an example of a PEPS where non-symmetric perturbations do not open up a gap and the U(1) symmetry re-emerges. |
| title | Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2008.04833 |