scholarly journals From Andreev bound states to Majorana fermions in topological wires on superconducting substrates: A story of mutation

2013 ◽  
Vol 88 (16) ◽  
Author(s):  
D. Chevallier ◽  
P. Simon ◽  
C. Bena
Keyword(s):  
Bound States ◽  
Majorana Fermions ◽  
Andreev Bound States

scholarly journals Multifaceted properties of Andreev bound states: interplay of symmetry and topology

2018 ◽  
Vol 376 (2125) ◽  
pp. 20150355 ◽  
Author(s):  
T. Mizushima ◽  
K. Machida
Keyword(s):  
Bound States ◽  
Current Status ◽  
Special Focus ◽  
Majorana Fermions ◽  
Andreev Bound States ◽  
Nano Fabrication ◽  
And Topology ◽  
Topological Quantum ◽  
Soliton State ◽  
Quantum Phenomena

Andreev bound states (ABSs) ubiquitously emerge as a consequence of non-trivial topological structures of the order parameter of superfluids and superconductors and significantly contribute to thermodynamics and low-energy quantum transport phenomena. We here share the current status of our knowledge on their multifaceted properties such as Majorana fermions and odd-frequency pairing. A unified concept behind ABSs originates from a soliton state in the one-dimensional Dirac equation with mass domain wall and interplay of ABSs with symmetry and topology enrich their physical characteristics. We make an overview of ABSs with a special focus on superfluid 3 He. The quantum liquid confined to restricted geometries serves as a rich repository of noteworthy quantum phenomena, such as the mass acquisition of Majorana fermions driven by spontaneous symmetry breaking, topological quantum criticality, Weyl superfluidity and the anomalous magnetic response. The marriage of the superfluid 3 He and nano-fabrication techniques will take one to a new horizon of topological quantum phenomena associated with ABSs. This article is part of the theme issue ‘Andreev bound states’.

scholarly journals Andreev bound states in ferromagnet-superconductor nanostructures

2003 ◽  
Vol 387 (1-2) ◽  
pp. 7-12 ◽  
Author(s):  
M. Krawiec ◽  
B.L. Györffy ◽  
J.F. Annett
Keyword(s):  
Bound States ◽  
Andreev Bound States
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