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

by Anton Romen, Stefan Birnkammer, Michael Knap

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Stefan Birnkammer · Michael Knap · Anton Romen
Submission information
Preprint Link:  (pdf)
Date accepted: 2024-02-05
Date submitted: 2024-01-19 10:32
Submitted by: Romen, Anton
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational


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.

Author comments upon resubmission

We thank the referees for reviewing our work. Following the suggestion of Referee 1 we transfered our work to SciPost Physics Core. The requested changes are addressed in the revised version of the manuscript and our replies to the referees.

List of changes

- Clarified that we consider *nearest* and next-nearest neighbor interactions above Eq. (6).
- Defined K as Luttinger parameter immideately after Eq. (7).
- Added value of $\alpha$ in the caption of Fig. 2.

Published as SciPost Phys. Core 7, 008 (2024)

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