2016/04/26 by N. Khan, Khan, N., P. Sarkar +7 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1604.07688
5 pages, 3 eps figures (and supplemental material 1 page, 2 eps figures)
openalex publication_date 2016/04/26 · arxiv created 2016/10/27 · arxiv updated 2016/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Renormalization group theory does not restrict the from of continuous variation of critical exponents which occurs in presence of a marginal operator. However, the continuous variation of critical exponents, observed in different contexts, usually follows a weak universality scenario where some of the exponents (e.g., β, γ, ν) vary keeping others (e.g., δ, η) fixed. Here we report a ferromagnetic phase transition in (Sm1-yNdy)0.52Sr0.48MnO3 (0.5≤ y≤1) single crystal where all critical exponents vary with y. Such variation clearly violates both universality and weak universality hypothesis. We propose a new scaling theory that explains the present experimental results, reduces to the weak universality as a special case, and provides a generic route leading to continuous variation of critical exponents and multicriticality.