Evolution of edge states in topological superfluids during the quantum phase transition

被引:6
作者
Silaev, M. A. [1 ]
Volovik, G. E. [2 ,3 ]
机构
[1] Russian Acad Sci, Inst Phys Microstruct, Nizhnii Novgorod 603950, Russia
[2] Aalto Univ, Sch Sci & Technol, Low Temp Lab, FI-00076 Aalto, Finland
[3] Russian Acad Sci, LD Landau Theoret Phys Inst, Moscow 119334, Russia
基金
俄罗斯基础研究基金会; 芬兰科学院;
关键词
FERMION ZERO MODES; HE-3-B; INSULATORS;
D O I
10.1134/S0021364012010110
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The quantum phase transition between topological and nontopological insulators or between fully gapped superfluids/superconductors can occur without closing the gap. We consider the evolution of the Majorana edge states on the surface of topological superconductor during transition to the topologically trivial superconductor on example of non-interacting Hamiltonian describing spin-triplet superfluid He-3-B. In conventional situation when the gap is nullified at the transition, the spectrum of Majorana fermions shrinks and vanishes after the transition to the trivial state. If the topological transition occurs without the gap closing, the Majorana fermion spectrum disappears by escaping to ultraviolet, where the Green's function approaches zero. This demonstrates the close connection between the topological transition without closing the gap and zeroes in the Green's function. Similar connection takes place in interacting systems where zeroes may occur due to interaction.
引用
收藏
页码:25 / 28
页数:4
相关论文
共 46 条
[31]  
SCHNYDER AP, ARXIV09052029
[32]  
SCHNYDER AP, ARXIV10111438
[33]   Topological Superfluid 3He-B: Fermion Zero Modes on Interfaces and in the Vortex Core [J].
Silaev, M. A. ;
Volovik, G. E. .
JOURNAL OF LOW TEMPERATURE PHYSICS, 2010, 161 (5-6) :460-473
[34]  
SILAEV MA, ARXIV10054672
[35]   Topological defects and gapless modes in insulators and superconductors [J].
Teo, Jeffrey C. Y. ;
Kane, C. L. .
PHYSICAL REVIEW B, 2010, 82 (11)
[36]   Majorana surface states of superfluid 3He A and B phases in a slab [J].
Tsutsumi, Y. ;
Ichioka, M. ;
Machida, K. .
PHYSICAL REVIEW B, 2011, 83 (09)
[37]  
Volovik GE, 2007, LECT NOTES PHYS, V718, P31, DOI [10.1007/3-540-70859-6̲4, 10.1007/3-540-70859-6_4]
[38]   Topological Invariant for Superfluid 3He-B and Quantum Phase Transitions [J].
Volovik, G. E. .
JETP LETTERS, 2009, 90 (08) :587-591
[39]   Fermion zero modes at the boundary of superfluid 3He-B [J].
Volovik, G. E. .
JETP LETTERS, 2009, 90 (05) :398-401
[40]  
Volovik G. E., ARXIV09093084