论文标题
涡流晶格和Bogoliubov-De Gennes方程
Vortex Lattices and the Bogoliubov-De Gennes Equations
论文作者
论文摘要
我们考虑了Bogoliubov-De Gennes方程，给出了BCS超导性理论的等效表述。我们对存在磁场的静态溶液感兴趣。我们以基本独立形式仔细地制定了方程，讨论其一般特征，并隔离了基态的候选者的候选求解解决方案（正常和涡旋晶格状态）的关键物理类别。我们证明存在正常和涡旋晶格状态，并且对于大温度或磁场，正常状态的稳定性及其在较小温度和小磁场上的不稳定性。
We consider the Bogoliubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in static solutions with the magnetic field present. We carefully formulate the equations in the basis independent form, discuss their general features and isolate key physical classes of solutions (normal and vortex lattice states) which are the candidates for the ground state. We prove existence of the normal and vortex lattice states and stability of the normal states for large temperature or magnetic fields and their instability for small temperature and small magnetic fields.
