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

Autor(en)

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

Abstrakt

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 nonsymmetric perturbations. Using a field theory description, we find that in the RVB, doping constitutes a relevant perturbation that 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 it also justifies the use of such states as a variational ansatz for critical systems. Finally, we give an example of a projected entangled pair state where nonsymmetric perturbations do not open up a gap and the U⁡(1) symmetry reemerges.

Organisation(en)

Institut für Mathematik, Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik, Munich Center for Quantum Science and Technology (MCQST), Ghent University , Harvard University

Journal

Physical Review B

Band

109

Seiten

195161-1 - 195161-7

Anzahl der Seiten

7

ISSN

2469-9950

DOI

https://doi.org/10.48550/arXiv.2008.04833

Publikationsdatum

05-2024

Peer-reviewed

Ja

ÖFOS 2012

103015 Kondensierte Materie, 103029 Statistische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/5195b988-4ded-4677-ad1f-5748f4d022f6