Topological Fermi arcs in superfluid 3He

被引:31
作者
Silaev, M. A. [1 ]
Volovik, G. E. [2 ,3 ]
机构
[1] RAS, Inst Phys Microstruct, Nizhnii Novgorod 603950, Russia
[2] Aalto Univ, Low Temp Lab, Aalto 00076, Finland
[3] LD Landau Theoret Phys Inst, Moscow 117940, Russia
基金
欧盟第七框架计划; 芬兰科学院; 俄罗斯基础研究基金会;
关键词
BOUND-STATES; DOMAIN-WALLS; SOLITONS;
D O I
10.1103/PhysRevB.86.214511
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider fermionic states bound on domain walls in a Weyl superfluid He-3-A and on interfaces between He-3-A and a fully gapped topological superfluid He-3-B. We demonstrate that in both cases the fermionic spectrum contains Fermi arcs that are continuous nodal lines of energy spectrum terminating at the projections of two Weyl points to the plane of surface states in momentum space. The number of Fermi arcs is determined by the index theorem that relates bulk values of the topological invariant to the number of zero-energy surface states. The index theorem is consistent with an exact spectrum of Bogolubov-de Gennes equation obtained numerically, meanwhile, the quasiclassical approximation fails to reproduce the correct number of zero modes. Thus we demonstrate that topology describes the properties of the exact spectrum beyond the quasiclassical approximation. DOI: 10.1103/PhysRevB.86.214511
引用
收藏
页数:8
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