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Deconfined quantum critical point in one dimension

Roberts, Brenden and Jiang, Shenghan and Motrunich, Olexei I. (2019) Deconfined quantum critical point in one dimension. Physical Review B, 99 (16). Art. No. 165143. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20190429-143530475

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Abstract

We perform a numerical study of a spin-1/2 model with ℤ_2 × ℤ_2 symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensional deconfined quantum critical points (DQCP). Specifically, we investigate the quantum phase transition between Ising ferromagnetic and valence bond solid (VBS) symmetry-breaking phases. Working directly in the thermodynamic limit using uniform matrix product states, we find evidence for a direct continuous phase transition that lies outside of the Landau-Ginzburg-Wilson paradigm. In our model, the continuous transition is found everywhere on the phase boundary. We find that the magnetic and VBS correlations show very close power-law exponents, which is expected from the self-duality of the parton description of this DQCP. Critical exponents vary continuously along the phase boundary in a manner consistent with the predictions of the field theory for this transition. We also find a regime where the phase boundary splits, as suggested by the theory, introducing an intermediate phase of coexisting ferromagnetic and VBS order parameters. Interestingly, we discover a transition involving this coexistence phase which is similar to the DQCP, being also disallowed by the Landau-Ginzburg-Wilson symmetry-breaking theory.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.99.165143DOIArticle
https://arxiv.org/abs/1904.00010arXivDiscussion Paper
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2019 American Physical Society. (Received 4 April 2019; published 29 April 2019) The authors would like to thank A. Läuchli, C.-J. Lin, Y.-M. Lu, Y. Ran, A. Sandvik, A. Vishwanath, C. White, and Y.-Z. You for useful discussions. This work was supported by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center, with support of the Gordon and Betty Moore Foundation, and also by the NSF through grant DMR-1619696.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
NSFDMR-1619696
Record Number:CaltechAUTHORS:20190429-143530475
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190429-143530475
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95077
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:29 Apr 2019 21:42
Last Modified:29 Apr 2019 22:25

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