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Journal Article

Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks

MPS-Authors
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Dreyer,  Henrik
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons249177

Chen,  Ji-Yao
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons60830

Schuch,  Norbert
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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2008.04833.pdf
(Preprint), 771KB

6537.pdf
(Publisher version), 577KB

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Citation

Dreyer, H., Vanderstraeten, L., Chen, J.-Y., Verresen, R., & Schuch, N. (2024). Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks. Physical Review B, 109: 195161. doi:10.1103/PhysRevB.109.195161.


Cite as: https://hdl.handle.net/21.11116/0000-000A-03F3-0
Abstract
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.