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論文

Global fixed point potential approach to frustrated antiferromagnets

藪中 俊介; Delamotte, B.*

Journal of Statistical Mechanics; Theory and Experiment, 2025, p.023204_1 - 023204_22, 2025/02

We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of the field renormalization. Our flow equations are functional to avoid possible artifacts coming from the field expansion of the fixed point potential which consists in keeping only a limited number of coupling constants. We explain in detail our numerical implementation, its advantages and the difficulties encountered in the vicinity of $$d=2$$. For N-component spins, the function $$N_c(d)$$ separating the regions of first and second order transitions in the $$(d,N)$$ plane is computed for d between 4 and 2.3. Our results confirm what was previously found with cruder approximations of the NPRG equation and contradict both the fixed dimension perturbative approach and some of the results obtained within the conformal bootstrap approach.

報告書

Reports on JAEA's Reimei Research Program; April 1, 2013 - March 31, 2015

永目 諭一郎

JAEA-Review 2015-039, 50 Pages, 2016/03

JAEA-Review-2015-039.pdf:7.19MB

先端基礎研究センターは原子力科学の分野で革新的な原理や現象の発見を目指し、国内外と共同研究をすすめる「黎明研究制度」を実施している。本成果報告書は、平成25-26年度に実施された成果をまとめたものである。

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