Anomalous topological pumps and fractional Josephson effects

被引：58

作者：

Zhang, Fan ^{[1
]}

Kane, C. L. ^{[1
]}

机构：

[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA

来源：

PHYSICAL REVIEW B | 2014年 / 90卷 / 02期

关键词：

INSULATORS; SUPERCONDUCTORS;

D O I：

10.1103/PhysRevB.90.020501

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We discover novel topological pumps in the Josephson effects for superconductors with time-reversal symmetry. The phase difference, which is odd under the chiral symmetry defined by the product of time-reversal and particle-hole symmetries, acts as an anomalous adiabatic parameter. In contrast to topological pumps with conventional parameters, these pumps are characterized by Z x Z or Z(2) x Z(2) strong invariants. We determine the general classifications in class AIII, and those in class DIII with a single anomalous parameter. For the Z(2) x Z(2) topological pumps in class DIII, the first Z(2) invariant describes the coincidence of fermion parity and spin pumps whereas the second Z(2) invariant reflects the non-Abelian statistics of Majorana Kramers pairs, leading to three distinct fractional Josephson effects.

引用

页数：4

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