Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy

We study the phase diagram of a spin-1 antiferromagnetic chain with isotropic antiferromagnetic interactions decaying with a power law ∝r−α (α≥1) accompanied by modulated single-ion anisotropy. Employing the techniques of the density-matrix renormalization group, the effects of long-range interactio...

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Bibliographic Details
Published in:Physical review. B 2020-07, Vol.102 (2), p.1, Article 024425
Main Authors: Ren, Jie, You, Wen-Long, Oleś, Andrzej M.
Format: Article
Language:English
Subjects:
Accuracy
Anisotropy
Antiferromagnetism
Chains
Critical point
Decay rate
Phase diagrams
Phase transitions
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Summary:We study the phase diagram of a spin-1 antiferromagnetic chain with isotropic antiferromagnetic interactions decaying with a power law ∝r−α (α≥1) accompanied by modulated single-ion anisotropy. Employing the techniques of the density-matrix renormalization group, the effects of long-range interactions and single-ion anisotropy on a variety of correlations are investigated. In order to check the consistency, the fidelity susceptibilities are evaluated across quantum phase transitions. The quantum critical points are faithfully detected and orders of phase transitions are determined. The correlation-length critical exponent is extracted from scaling functions of the fidelity susceptibility. The presence of long-range interactions leads to a quantitative change of the phase boundaries and reduces the order of the phase transition under certain conditions. A direct first-order transition between the periodic Néel phase and the largeD phase occurs for slowly decaying antiferromagnetic interactions.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.102.024425