受挫磁铁中的固定点再访
Fixed points in frustrated magnets revisited
摘要：
我们分析了在阻挫磁体的固定维方法中得到的微扰重整化群估计的有效性。我们重新考虑了在最小减法方案中获得的无ε展开的受抑磁体和具有立方各向异性的良好控制的铁磁系统的图形化的五圈β函数。分析这两种情况下临界指数的收敛性质，发现控制阻挫磁体二级相变的不动点很可能是非物理的。这由其在上临界尺寸d=4处的非高斯特性支持。我们的工作证实了弱的一阶性质的相变发生在三维空间，并提供了一个统一的图片，所有现有的理论方法沮丧磁铁的元素。
英文摘要：
We analyze the validity of perturbative renormalization group estimates obtained within the fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop beta-functions obtained within the minimal subtraction scheme without epsilon-expansion for both frustrated magnets and the well-controlled ferromagnetic systems with a cubic anisotropy. Analyzing the convergence properties of the critical exponents in these two cases we find that the fixed point supposed to control the second order phase transition of frustrated magnets is very likely an unphysical one. This is supported by its non-Gaussian character at the upper critical dimension d=4. Our work confirms the weak first order nature of the phase transition occuring at three dimensions and provides elements towards a unified picture of all existing theoretical approaches to frustrated magnets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
