石墨烯蜂窝晶格上的非均匀磁催化
Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
摘要：
通过数值计算均匀和非均匀磁场下电荷密度波序参量的Hartree自洽解，研究了石墨烯蜂窝晶格上相互作用（简单来说，无自旋）费米子的有序不稳定性.对于均匀场，序参量的整体行为符合连续介质理论。在非均匀的情况下，序参量的空间分布在性质上类似于磁场本身的形式，至少当相互作用不太强时是这样。我们发现，在零场临界点的无限系统的局部序参量规模的平方根的局部强度的磁场，显然独立的假设场的轮廓。有限的尺寸对各种参数的影响，如临界相互作用和普遍的振幅比的相互作用诱导的间隙的朗道能级能量在临界状态也得到解决。
英文摘要：
We investigate the ordering instability of interacting (and for simplicity, spinless) fermions on graphene's honeycomb lattice by numerically computing the Hartree self-consistent solution for the charge-density-wave order parameter in presence of both uniform and non-uniform magnetic fields. For a uniform field the overall behavior of the order parameter is found to be in accord with the continuum theory. In the inhomogeneous case, the spatial profile of the order parameter resembles qualitatively the form of the magnetic field itself, at least when the interaction is not overly strong. We find that right at the zero-field critical point of the infinite system the local order parameter scales as the square-root of the local strength of the magnetic field, apparently independently of the assumed field's profile. The finite size effects on various parameters of interest, such as the critical interaction and the universal amplitude ratio of the interaction-induced gap to the Landau level energy at criticality are also addressed.
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。
