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

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.

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 Creators:
Dreyer, Henrik1, 2, Author           
Vanderstraeten, Laurens, Author
Chen, Ji-Yao1, 2, Author           
Verresen, Ruben, Author
Schuch, Norbert1, 2, Author           
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: Quantum Physics, quant-ph
 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.

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Language(s): eng - English
 Dates: 2020-08-112024-05-062024-05-212024-05
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2008.04833v1
DOI: 10.1103/PhysRevB.109.195161
Other: 6537
 Degree: -

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Project name : ERC-StG WAS-COSYS
Grant ID : 636201
Funding program : European Union’s Horizon 2020 program
Funding organization : European Commission (EC)
Project name : -
Grant ID : -
Funding program : Germany’s Excellence Strategy (EXC2111-390814868)
Funding organization : DFG (German Research Foundation)

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
 Creator(s):
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 109 Sequence Number: 195161 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008