Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India.
Department of Physics, Handique Girls' College, Guwahati 781 001, India.
Phys Rev E. 2017 Jan;95(1-1):012133. doi: 10.1103/PhysRevE.95.012133. Epub 2017 Jan 20.
A recent theoretical study [Phys. Rev. Lett. 112, 037202 (2014)10.1103/PhysRevLett.112.037202] has revealed that systems such as uranium ferromagnetic superconductors obey conserved dynamics. To capture the critical behavior near the paramagnetic to ferromagnetic phase transition of these compounds, we study the conserved critical dynamics of a nonlocal Ginzburg-Landau model. A dynamic renormalization-group calculation at one-loop order yields the critical indices in the leading order of ε=d_{c}-d, where d_{c}=4-2ρ is the upper critical dimension, with ρ an exponent in the nonlocal interaction. The predicted static critical exponents are found to be comparable with the available experimentally observed critical exponents for strongly uniaxial uranium ferromagnetic superconductors. The corresponding dynamic exponent z and linewidth exponent w are found to be z=4-ρε/4+O(ε^{2}) and w=1+ρ+3ε/4+O(ε^{2}).
最近的一项理论研究[Phys. Rev. Lett. 112, 037202 (2014)10.1103/PhysRevLett.112.037202]表明，铀铁磁共振超导体等系统具有守恒动力学。为了捕捉这些化合物的顺磁到铁磁相变附近的临界行为，我们研究了非局域吉布斯-朗道模型的守恒临界动力学。在单圈阶的动态重整化群计算中，在ε=d_{c}-d 的领先阶上得到了临界指数，其中 d_{c}=4-2ρ 是上临界维度，ρ 是非局域相互作用中的一个指数。预测的静态临界指数与强单轴铀铁磁共振超导体的现有实验观测到的临界指数相当。发现相应的动态指数 z 和线宽指数 w 分别为 z=4-ρε/4+O(ε^{2})和 w=1+ρ+3ε/4+O(ε^{2})。
