We study the spectrum of fermion states localized within the vortex core of a weak-coupling p-wave superfluid. The low energy spectrum consists of two anomalous branches that cross the Fermi level as functions of the impact parameter, and generate large density of states at the locations of the half cores of the vortex. Fermi liquid interactions significantly change the vortex structure, which leads to Lifshitz transition in the effective Fermi surface of the vortex core fermions. We apply the results to revise the interpretation of an experiment on rotational dynamics of vortices in superfluid 3He-B.
Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
Hong Kong University of Science and Technology（香港科技大学）；Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；School of Physics, Beijing Institute of Technology（北京理工大学物理学院）；Nanjing University（南京大学）；CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
Vortex states of the E_{u} model for Sr_{2}RuO_{4}
基于Agterberg提出的E_{u}对称性的Ginzburg-Landau泛函，利用Landau能级展开方法，详细研究了$H_{c1}\lesssim H \leq H_{c2}$上Sr_{2}-RuO_{4}的涡旋态.对于基面中的场，发现（i）第二超导转变应该存在而与场的方向无关;（ii）在该转变之下，在磁场分布中可能发展出特征双峰结构;（iii）在两个不同的涡旋状态之间可能发生第三转变。当磁场沿c轴方向时，随着磁场从H_{c2}降低，方涡旋晶格会发生二阶相变，并变形为矩形涡旋晶格.这些预测将有助于建立Sr_{2} RuO_{4}的E_{u}模型。
