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Superconducting Qubits
Geometric Phase and Superconducting Flux Quantization
arXiv
Authors: Walter A. Simmons, Sandip S. Pakvasa
Year
2007
Paper ID
50639
Status
Preprint
Abstract Read
~2 min
Abstract Words
108
Citations
N/A
Abstract
In a ring of s-wave superconducting material the magnetic flux is quantized in units of Φ0 = frac{h}{2e}. It is well known from the theory of Josephson junctions that if the ring is interrupted with a piece of d-wave material, then the flux is quantized in one-half of those units due to a additional phase shift of π. We reinterpret this phenomenon in terms of geometric phase. We consider an idealized hetero-junction superconductor with pure s-wave and pure d-wave electron pairs. We find, for this idealized configuration, that the phase shift of π follows from the discontinuity in the geometric phase and is thus a fundamental consequence of quantum mechanics.
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- This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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- In a ring of s-wave superconducting material the magnetic flux is quantized in units of Φ0 = frach2e.
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