Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions
Sakurai, Keimei; Mercaldo, Maria Teresa5; Kobayashi, Shingo6,7; Yamakage, Ai8; Ikegaya, Satoshi1; Habe, Tetsuro; Kotetes, Panagiotis2; Cuoco, Mario4,5; Asano, Yasuhiro
刊名PHYSICAL REVIEW B
2020
卷号101期号:17页码:174506
关键词TOPOLOGICAL DIRAC SEMIMETAL NON-ABELIAN STATISTICS TRIPLET SUPERCONDUCTIVITY DISCOVERY BREAKING
ISSN号2469-9950
DOI10.1103/PhysRevB.101.174506
英文摘要We investigate the Andreev-bound-state (ABS) spectra of three-terminal Josephson junctions which consist of 1D topological superconductors (TSCs) harboring multiple zero-energy edge Majorana bound states (MBSs) protected by chiral symmetry. Our theoretical analysis relies on the exact numerical diagonalization of the Bogoliubov-de Gennes (BdG) Hamiltonian describing the three interfaced TSCs, complemented by an effective low-energy description solely based on the coupling of the interfacial MBSs arising before the leads get contacted. Considering the 2D synthetic space spanned by the two independent superconducting phase differences, we demonstrate that the ABS spectra may contain either point or line nodes and identify Z(2) topological invariants to classify them. We show that the resulting type of nodes depends on the number of preexisting interfacial MBSs, with nodal lines necessarily appearing when two TSCs harbor an unequal number of MBSs. Specifically, the precise number of interfacial MBSs determines the periodicity of the spectrum under 2 pi slidings of the phase differences and, as a result, also controls the shape of the nodal lines in synthetic space. When chiral symmetry is preserved, the lines are open and coincide with high-symmetry lines of synthetic space, while when it is violated, the lines can also transform into loops and chains. The nodal spectra are robust by virtue of the inherent particle-hole symmetry of the BdG Hamiltonian, and give rise to distinctive experimental signatures that we identify.
学科主题Materials Science ; Physics
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/27037]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
2.Max Planck Festkorperforsch, Heisenbergstr 1, D-70569 Stuttgart, Germany
3.CNR, SPIN, I-84084 Salerno, Italy
4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
5.Hokkaido Univ, Dept Appl Phys, Sapporo, Hokkaido 0608628, Japan
6.Univ Salerno, Dipartimento Fis ER Caianiello, I-84084 Fisciano, SA, Italy
7.Nagoya Univ, Dept Appl Phys, Nagoya, Aichi 4648603, Japan
8.Nagoya Univ, Inst Adv Res, Nagoya, Aichi 4648601, Japan
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Sakurai, Keimei,Mercaldo, Maria Teresa,Kobayashi, Shingo,et al. Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions[J]. PHYSICAL REVIEW B,2020,101(17):174506.
APA Sakurai, Keimei.,Mercaldo, Maria Teresa.,Kobayashi, Shingo.,Yamakage, Ai.,Ikegaya, Satoshi.,...&Asano, Yasuhiro.(2020).Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions.PHYSICAL REVIEW B,101(17),174506.
MLA Sakurai, Keimei,et al."Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions".PHYSICAL REVIEW B 101.17(2020):174506.
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