Adelhardt P, Schmidt KP (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 15
Article Number: 087
Journal Issue: 3
DOI: 10.21468/SciPostPhys.15.3.087
We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the Néel 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 quantumcritical 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.
APA:
Adelhardt, P., & Schmidt, K.P. (2023). Continuously varying critical exponents in long-range quantum spin ladders. SciPost Physics, 15(3). https://doi.org/10.21468/SciPostPhys.15.3.087
MLA:
Adelhardt, Patrick, and Kai Phillip Schmidt. "Continuously varying critical exponents in long-range quantum spin ladders." SciPost Physics 15.3 (2023).
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