Effective exponents near bicritical points

Article Physics, Applied

Bi- and tetracritical phase diagrams in three dimensions

Amnon Aharony et al.

Summary: The critical behavior of many physical systems involves two competing order-parameters, which can form different ordered phases and critical points. The behavior can be either non-rotationally invariant or fluctuation driven.

LOW TEMPERATURE PHYSICS (2022)

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Article Materials Science, Multidisciplinary

Puzzle of bicriticality in the XXZ antiferromagnet

Amnon Aharony et al.

Summary: This study resolves the discrepancy between the predicted phase diagram and experimental results for the XXZ antiferromagnet. By generalizing a ubiquitous condition and using renormalization-group recursion relations, the study shows that experiments and simulations can only approach the fluctuation-driven first-order transition and the associated triple point for prohibitively large system sizes or correlation lengths.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Different critical behaviors in perovskites with a structural phase transition from cubic-to-trigonal and cubic-to-tetragonal symmetry

Amnon Aharony et al.

Summary: This passage discusses the structural phase transitions of perovskites from cubic to trigonal or tetragonal structures, and their critical behavior, showing that these transitions correspond to different scenarios related to the isotropic three-components Heisenberg model. It predicts the effective critical exponents in different transition cases and introduces new renormalization group calculations for estimating these exponents.

PHYSICAL REVIEW B (2022)

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Article Astronomy & Astrophysics

Bootstrapping Heisenberg magnets and their cubic instability

Shai M. Chester et al.

Summary: In this study, the critical O(3) model was investigated using numerical conformal bootstrap, with the use of a cutting-surface algorithm to efficiently map out the space of allowed conformal field theory data. By calculating the scaling dimensions of the main O(3) singlet s, vector phi, and rank-2 symmetric tensor t, it was found that the system described by the critical O(3) model is unstable to cubic anisotropy, as evidenced by introducing a new tip-finding algorithm to compute an upper bound on the leading rank-4 symmetric tensor t(4).

PHYSICAL REVIEW D (2021)

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Article Astronomy & Astrophysics