Deconfined quantum criticality in the long-range, anisotropic Heisenberg chain
Anton Romen, Stefan Birnkammer, Michael Knap
SciPost Phys. Core 7, 008 (2024) · published 22 February 2024
- doi: 10.21468/SciPostPhysCore.7.1.008
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Abstract
Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transition and connect them to an effective field theory obtained from bosonization techniques. We show that beyond stabilizing the valance bond order, the long-range interactions are irrelevant and the transition is well described by a double frequency sine-Gordon model. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.
Cited by 3
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Anton Romen,
- 1 2 Stefan Birnkammer,
- 1 2 Michael Knap
- 1 Technische Universität München / Technical University of Munich [TUM]
- 2 Munich Center for Quantum Science and Technology [MCQST]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- H2020 Future and Emerging Technologies (FET) (through Organization: European Commission [EC])