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Continuously varying critical exponents in long-range quantum spin ladders

by Patrick Adelhardt, Kai Phillip Schmidt

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Patrick Adelhardt · Kai Phillip Schmidt
Submission information
Preprint Link: scipost_202301_00041v2  (pdf)
Date accepted: 2023-07-04
Date submitted: 2023-05-17 08:34
Submitted by: Adelhardt, Patrick
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
  • Quantum Physics
Approaches: Theoretical, Computational


We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the N\'eel phase with broken SU(2)-symmetry in quantum spin ladders with algebraically decaying unfrustrated long-range Heisenberg interactions. To this end, we determine high-order series expansions of energies and observables in the thermodynamic limit about the isolated rung-dimer limit. This is achieved by extending the method of perturbative continuous unitary transformations (pCUT) to long-range Heisenberg interactions and to the calculation of generic observables. The quantum-critical breakdown of the rung-singlet phase then allows us to determine the critical phase transition line and the entire set of critical exponents as a function of the decay exponent of the long-range interaction. We demonstrate long-range mean-field behavior as well as a non-trivial regime of continuously varying critical exponents implying the absence of deconfined criticality contrary to a recent suggestion in the literature.

List of changes

l. 50-51: Added experimentally relevant reference. We emphasize that symmetry-protected topological phases were detected on ladder geometries.

l. 63: Removed the word 'here'.

l. 67-68: We split up references for HMW therom for the finite and zero temperature case.

l. 92: Spelling mistake corrected: distant-dependent -> distance-dependent

l. 130: for->to

l. 143: Added minus sign to formula

l. 168: Added 'to' to sentence

l. 173-174: Updated references in figure 2 and removed SW symbols at \lambda=\infty

l. 197-198: Improved readability of figure 3.

l. 206-207: Improved readability of figure 4

l. 223-225: We added a sentence comparing z and nu to Ref. 43.

l. 272: Added an url to Zenodo, providing the raw data of our simulations.

l. 370-371: Added minus sign to formula

l. 386: Added 'so' to sentence

l. 387: Changed S to \mathcal S in formula

Published as SciPost Phys. 15, 087 (2023)

Reports on this Submission

Anonymous Report 1 on 2023-5-17 (Invited Report)


The authors have significantly improved the manuscript by addressing the issues brought up by the referees. It can now be published.

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