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One-dimensional model for deconfined criticality with Z₃ x Z₃ symmetry

Roberts, Brenden and Jiang, Shenghan and Motrunich, Olexei I. (2021) One-dimensional model for deconfined criticality with Z₃ x Z₃ symmetry. Physical Review B, 103 (15). Art. No. 155143. ISSN 2469-9950. doi:10.1103/PhysRevB.103.155143.

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We continue recent efforts to discover examples of deconfined quantum criticality in one-dimensional models. In this work we investigate the transition between a Z₃ ferromagnet and a phase with valence bond solid (VBS) order in a spin chain with Z₃ × Z₃ global symmetry. We study a model with alternating projective representations on the sites of the two sublattices, allowing the Hamiltonian to connect to an exactly solvable point having VBS order with the character of SU(3)-invariant singlets. Such a model does not admit a Lieb-Schultz-Mattis theorem typical of systems realizing deconfined critical points. Nevertheless, we find evidence for a direct transition from the VBS phase to a Z₃ ferromagnet. Finite-entanglement scaling data are consistent with a second-order or weakly first-order transition. We find in our parameter space an integrable lattice model apparently describing the phase transition, with a very long, finite, correlation length of 190878 lattice spacings. Based on exact results for this model, we propose that the transition is extremely weakly first order and is part of a family of deconfined quantum critical points described by walking of renormalization group flows.

Item Type:Article
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URLURL TypeDescription Paper
Motrunich, Olexei I.0000-0001-8031-0022
Alternate Title:One-dimensional model for deconfined criticality with Z3 × Z3 symmetry
Additional Information:© 2021 American Physical Society. Received 3 February 2021; revised 29 March 2021; accepted 5 April 2021; published 21 April 2021. We acknowledge helpful conversations with Ashley Milsted, David Simmons-Duffin, Jason Alicea, Yoni BenTov, Cheng-Ju Lin, David Mross, Alex Thomson, Senthil Todari, Christopher White, and Cenke Xu. This work was supported by the National Science Foundation through Grants No. DMR-1619696 and No. DMR-2001186 (B.R. and O.I.M.). We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1733907).
Group:Institute for Quantum Information and Matter
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Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Issue or Number:15
Record Number:CaltechAUTHORS:20201109-081814617
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106502
Deposited By: Tony Diaz
Deposited On:09 Nov 2020 16:25
Last Modified:21 Apr 2021 21:08

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