Disordered Kitaev chains with long-range pairing

doi:10.1088/1361-648X/aa5a39

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	Disordered Kitaev chains with long-range pairing
	Cai, Xiaoming
刊名	JOURNAL OF PHYSICS-CONDENSED MATTER
	2017-03-22
卷号	29 期号:11
关键词	1d P-wave Superconductor Long-range Pairing Anderson Localization Topological Phase Transition
DOI	10.1088/1361-648X/aa5a39
文献子类	Article
英文摘要	We study the competition of disorder and superconductivity for a generalized Kitaev model in incommensurate potentials. The generalized Kitaev model describes one dimensional spinless fermions with long-range p-wave superconducting pairing, which decays with distance l as a power law similar to 1/l(alpha). We focus on the transition from the topological superconducting phase to the topologically trivial Anderson localized phase, and effects of the exponent a on this phase transition. In the topological superconducting phase, for a system under open boundary condition the amplitude of zero-mode Majorana fermion has a hybrid exponential-algebraic decay as the distance increases from the edge. In the Anderson localized phase, some single particle states remain critical for very strong disorders and the number of critical states increases as alpha decreases. In addition, except for critical disorders, the correlation function always has an exponential decay at the short range and an algebraic decay at the long range. Phase transition points are also numerically determined and the topological phase transition happens earlier at a smaller disorder strength for a system with smaller alpha.
WOS关键词	MAJORANA FERMIONS ; WAVE-FUNCTIONS ; SYSTEMS ; SUPERCONDUCTOR ; LOCALIZATION
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000395755700001
资助机构	NSF of China(11374331 ; NSF of China(11374331 ; 11304364 ; 11304364 ; 11534014) ; 11534014) ; NSF of China(11374331 ; NSF of China(11374331 ; 11304364 ; 11304364 ; 11534014) ; 11534014)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/10876]
专题	武汉物理与数学研究所_理论与交叉研究部
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Cai, Xiaoming. Disordered Kitaev chains with long-range pairing[J]. JOURNAL OF PHYSICS-CONDENSED MATTER,2017,29(11).
APA	Cai, Xiaoming.(2017).Disordered Kitaev chains with long-range pairing.JOURNAL OF PHYSICS-CONDENSED MATTER,29(11).
MLA	Cai, Xiaoming."Disordered Kitaev chains with long-range pairing".JOURNAL OF PHYSICS-CONDENSED MATTER 29.11(2017).