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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 |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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)