Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain

• URL: http://arxiv.org/abs/2311.06350v2
• Date: Wed, 17 Jan 2024 13:51:01 GMT
• Title: Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain
• Authors: Anton Romen and Stefan Birnkammer and Michael Knap
• Abstract summary: We investigate deconfined quantum criticality in the long-range, anisotropic Heisenberg chain. We show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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