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Exactly Solvable Model for a Deconfined Quantum Critical Point in 1D
- Source :
- Physical Review Letters. 130
- Publication Year :
- 2023
- Publisher :
- American Physical Society (APS), 2023.
-
Abstract
- We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely at the edge of a (2+1) dimensional bosonic symmetry protected topological phase (SPT) with $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry. The DQCP describes a transition between two gapped edges that break different $\mathbb{Z}_2$ subgroups of the full $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry. Our construction is based on an exact mapping between the SPT edge theory and a $\mathbb{Z}_4$ spin chain. This mapping reveals that DQCPs in this system are directly related to ordinary $\mathbb{Z}_4$ symmetry breaking critical points.<br />4.25 pages with 3 figures + 3 page supplemental material with 1 figure. References, discussion, and intro updated
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 130
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....cc66c155f010487d68b2fe4137e41ae0