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

Dreyer, Henrik; Vanderstraeten,  Laurens; Chen, Ji-Yao; Verresen,  Ruben; Schuch, Norbert

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

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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;

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

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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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引用

Dreyer, H., Vanderstraeten, L., Chen, J.-Y., Verresen, R., & Schuch, N. (submitted). Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks.

引用: https://hdl.handle.net/21.11116/0000-000A-03F3-0

要旨

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.