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Original Paper
Quantum fluctuation and tunneling of a superconducting nano-grain
Article first published online: 25 JUL 2006
DOI: 10.1002/pssc.200567009
Copyright © 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Additional Information
How to Cite
Afzali, R. (2006), Quantum fluctuation and tunneling of a superconducting nano-grain. Phys. Status Solidi C, 3: 3130–3134. doi: 10.1002/pssc.200567009
Publication History
- Issue published online: 11 SEP 2006
- Article first published online: 25 JUL 2006
- Manuscript Accepted: 15 MAR 2006
- Manuscript Revised: 13 FEB 2006
- Manuscript Received: 5 SEP 2005
- Abstract
- References
- Cited By
Keywords:
- 74.40.+k;
- 74.50.+r;
- 74.78.Na
Abstract
Quantum fluctuation and tunneling of a superconducting nano-grain placed in magnetic field are analytically considered in frequency space. Tunneling fluctuation of a superconducting grain to superposition of superconducting and paramagnetic states are investigated. By using Fourier transformation, instanton equations are solved. Then, by supposing smallness of deviation of order parameter with respect to BCS energy gap, matrix Green function of system and self-consistent equation of order parameter in frequency space, at first approximation, for both d -wave and s -wave case, is obtained. Based on analytic form of order parameter of system at Fermi sphere, quantum phase transition of a s-wave superconducting grain is shown. For d-wave case, investigating of tunneling process at first approximation is subtle and needs further attention. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)