论文标题
Ginzburg-Landau中子理论中的涡流结构$^3p_2 $ superfluids
Core structures of vortices in Ginzburg-Landau theory for neutron $^3P_2$ superfluids
论文作者
论文摘要
我们研究了Ginzburg-Landau理论中的中子$^3p_2 $超氟与中子星核有关的涡流解决方案，其中中子对具有与旋转三型的总角动量$ j = 2 $ j = 2 $，在磁场与涡流动量的磁场的存在下。已知基态在没有磁场的情况下处于单轴列（UN）阶段，而在下面的磁场（上方）存在磁场的情况下，它位于$ d_2 $（$ d_4 $）双轴nematic（bn）阶段。我们发现，单一量化的涡流始终将由Soliton（S）连接为具有磁场强度的涡流分子，将旋律分为两个半量化的非亚伯涡流。在联合国阶段，两个具有铁磁芯的半量化涡流通过线性孤子连接，并用$ d_4 $ bn的订单连接。在$ d_2 $（$ d_4 $）bn阶段中，带有循环芯的两个半定量涡流由三个线性孤子连接，并带有$ d_4 $（$ d_2 $）bn订单。涡流分子的能量单调增加，两个半量化涡流之间的距离随着磁场的增加而减小，除了不连续地增加了临界磁场处距离的跳跃。我们还在$ d_4 $ bn阶段构建了一个孤立的半量化的非亚洲涡流。
We investigate vortex solutions in the Ginzburg-Landau theory for neutron $^3P_2$ superfluids relevant for neutron star cores in which neutron pairs possess the total angular momentum $J=2$ with spin-triplet and $P$ wave, in the presence of the magnetic field parallel to the angular momentum of vortices. The ground state is known to be in the uniaxial nematic (UN) phase in the absence of magnetic field, while it is in the $D_2$ ($D_4$) biaxial nematic (BN) phase in the presence of the magnetic field below (above) the critical value. We find that a singly quantized vortex always splits into two half-quantized non-Abelian vortices connected by soliton(s) as a vortex molecule with any strength of the magnetic field. In the UN phase, two half-quantized vortices with ferromagnetic cores are connected by a linear soliton with the $D_4$ BN order. In the $D_2$ ($D_4$) BN phase, two half-quantized vortices with cyclic cores are connected by three linear solitons with the $D_4$ ($D_2$) BN order. The energy of the vortex molecule monotonically increases and the distance between the two half-quantized vortices decreases with the magnetic field increases, except for a discontinuously increasing jump of the distance at the critical magnetic field. We also construct an isolated half-quantized non-Abelian vortex in the $D_4$ BN phase.
