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Bifurcating subsystem symmetric entanglement renormalization in two dimensions

San Miguel, Jonathan Francisco and Dua, Arpit and Williamson, Dominic J. (2021) Bifurcating subsystem symmetric entanglement renormalization in two dimensions. Physical Review B, 103 (3). Art. No. 035148. ISSN 2469-9950. doi:10.1103/physrevb.103.035148.

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We introduce the subsystem symmetry-preserving real-space entanglement renormalization group and apply it to study bifurcating flows generated by linear and fractal subsystem symmetry-protected topological phases in two spatial dimensions. We classify all bifurcating fixed points that are given by subsystem symmetric cluster states with two qubits per unit cell. In particular, we find that the square lattice cluster state is a quotient-bifurcating fixed point, while the cluster states derived from Yoshida's first-order fractal spin liquid models are self-bifurcating fixed points. We discuss the relevance of bifurcating subsystem symmetry-preserving renormalization group fixed points for the classification and equivalence of subsystem symmetry-protected topological phases.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
San Miguel, Jonathan Francisco0000-0002-1972-4370
Williamson, Dominic J.0000-0002-8029-6408
Additional Information:© 2021 American Physical Society. Received 4 November 2020; accepted 4 January 2021; published 29 January 2021. A.D. thanks Meng Cheng and Wilbur Shirley for useful discussions and acknowledges support from the Simons Collaboration on Ultra-Quantum Matter. D.J.W. acknowledges support from the Simons foundation. J.F.S.M. acknowledges support from the National Science Foundation Graduate Research Fellowship under Grant No. DGE-1656518.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1656518
Issue or Number:3
Record Number:CaltechAUTHORS:20210129-110920638
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107804
Deposited By: Tony Diaz
Deposited On:29 Jan 2021 19:14
Last Modified:16 Nov 2021 19:06

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