Department of Basic Science, The University of Tokyo, Tokyo 153-8902, Japan.
Phys Rev Lett. 2013 Mar 29;110(13):131601. doi: 10.1103/PhysRevLett.110.131601. Epub 2013 Mar 28.
We exhaust all exact self-consistent solutions of complex-valued fermionic condensates in the (1+1)-dimensional Bogoliubov-de Gennes and chiral Gross-Neveu systems under uniform boundary conditions. We obtain n complex (twisted) kinks, or gray solitons, with 2n parameters corresponding to their positions and phase shifts. Each soliton can be placed at an arbitrary position while the self-consistency requires its phase shift to be quantized by π/N for N flavors.
我们穷尽了（1+1）维玻戈留波夫-德热纳和手征 Gross-Neveu 系统中复值费米子凝聚体的所有精确自洽解，在均匀边界条件下。我们得到了 n 个复（扭曲）扭结，或灰色孤子，每个扭结有 2n 个参数对应于它们的位置和相移。每个孤子可以放置在任意位置，而自洽性要求其相移被量化为 π/N，其中 N 为味数。
