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Bulletin of the American Physical Society

Magnetic-field-induced quantum criticality in a spin-1 planar ferromagnet with single-ion anisotropy

Maria Teresa Mercaldo, Ileana Rabuffo, Luigi DeCesare, Alvaro CaramicoD'Auria

Published Mar 3, 2014• 0 citations
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Physica Scripta•Oct 21, 2022•3 citations
We analyze the effects induced by single-ion anisotropy on quantum criticality in a d -dimensional spin-3/2 planar ferromagnet. To tackle this problem we employ the two-time Green's function method, using the Tyablikov decoupling for exchange interactions and the Anderson-Callen decoupling for single-ion anisotropy. In our analysis the role of non-thermal control parameter which drives the quantum phase transition is played by a longitudinal external magnetic field. We find that the single-ion anisotropy has substantial effects on the structure of the phase diagram close to the quantum critical point.
Abstract Functional integral method is used to study the field- and anisotropy-induced magnetic transitions, spin waves and the specific heat of a one-dimensional spin- S XYZ ferromagnet with the addition of the single-ion anisotropy in an oblique magnetic field. Field-induced critical lines that begin at quantum critical points and depend on the anisotropy are found. Besides, a double-peak structure in temperature-dependent behavior of the specific heat is observed. The position and height of these peaks can be adjusted by the anisotropy and by the magnetic field. From these results, the important role of thermal and quantum fluctuations is also discussed. Finally, we comment on comparing our results with experimental and other theoretical studies on quasi-one-dimensional anisotropic ferromagnets.