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Title: Odd-frequency Cooper Pair and Majorana Fermion in Nana Wire Proximity Systems
Originating Office: IAS
Speaker: Tanaka, Yukio
Issue Date: 18-Dec-2012
Event Date: 18-Dec-2012
Group/Series/Folder: Record Group 8.15 - Institute for Advanced Study
Series 3 - Audio-visual Materials
Location: 8.15:3 box 1.8
Notes: IAS Symposium on Frontiers in Condensed Matter Physics. Talk no. 12
Title from title slide.
Abstract: Superconductivity is a phenomenon where the macroscopic quantum coherence appears due to the pairing of electrons. The symmetry properties of the pairing, i.e., the parity and spin-singlet/spin-triplet, determine the physical properties of the superconducting state. Recently it has been recognized that there is the important third symmetry of the pair amplitude, i.e., even or odd parity with respect to the frequency. The conventional uniform superconducting states correspond to the even-frequency pairing, but the recent finding is that the odd-frequency pair amplitude arises in the spatially non-uniform situation quite ubiquitously. Especially, this is the case in the Andreev bound state (ABS) appearing at the surface/interface of the sample. It has been revealed that there are many exotic properties relevant to odd-frequency pairing like anomalous proximity effect in spin-triplet superconductor junctions. Here, we discuss a strong relationship between Majorana fer! mions and odd-frequency Cooper pairs which appear at a disordered normal (N) nano wire attached to a topologically nontrivial superconducting (S) one. The transport properties in superconducting nano wire junctions show universal behaviors irrespective of the degree of disorder: the quantized zero-bias differential conductance in NS junction and the fractional current-phase relationship of the Josephson effect in SNS junction. These behaviors are exactly the same as those in the anomalous proximity effect of odd-parity spin-triplet superconductors. The odd-frequency pairs exist wherever the Majorana fermions stay.
Duration: 32 min.
Appears in Series:8.15:3 - Audio-visual Materials
Videos for Public -- Distinguished Lectures