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Thermodynamic nature of the 0 – π quantum transition in superconductor/ferromagnet/superconductor trilayers
In structures made up of alternating superconducting and ferromagnet layers (S/F/S heterostructures), it is known that the macroscopic quantum wave function of the ground state changes its phase difference across the F layer from 0 to π under certain temperature and geometrical conditions, hence the...
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Published in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-08, Vol.90 (6), p.064510 (1-7, Article 064510 |
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Main Authors: | , , , , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | In structures made up of alternating superconducting and ferromagnet layers (S/F/S heterostructures), it is known that the macroscopic quantum wave function of the ground state changes its phase difference across the F layer from 0 to π under certain temperature and geometrical conditions, hence the name "0-π" for this crossover. We present here a joint experimental and theoretical demonstration that 0-π is a true thermodynamic phase transition. Microwave measurements of the temperature dependence of the London penetration depth in Nb/Pd0.84Ni0.16/Nb trilayers reveal a sudden, unusual decrease of the density of the superconducting condensate (square modulus of the macroscopic quantum wave function) with decreasing temperature, which is predicted by the theory here developed as a transition from the 0 state to the π state. Our result for the jump of the amplitude of the order parameter is a thermodynamic manifestation of such a temperature-driven quantum transition. |
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ISSN: | 1098-0121 1550-235X |
DOI: | 10.1103/PhysRevB.90.064510 |