Whistleblowing
- It is ironic that the creators of the BCS theory (1972 Nobel Prize) first blew the whistle about their theory: The BCS theory is not gauge invariant!
Note that the Gauge Invariance is not negotiable! Something is seriously wrong!
A possible resolution: Yong-Jihn Kim, More details.
In 2003, Ginzburg and Abrikosov shared the Nobel Prize. However, Gor’kov was not included, even though he was supposed to have provided the crucial microscopic justification of the Ginzburg-Landau theory. At the time Prof. Brinkman at Princeton complained about this decision [Phys. Today, December 2003]:
A possible resolution: Yong-Jihn Kim, More details.
- GLAG (Ginzburg-Landau-Abrikosov-Gor'kov) theory or GLA (Ginzburg-Landau-Abrikosov) theory (2003 Nobel Prize)?
In 2003, Ginzburg and Abrikosov shared the Nobel Prize. However, Gor’kov was not included, even though he was supposed to have provided the crucial microscopic justification of the Ginzburg-Landau theory. At the time Prof. Brinkman at Princeton complained about this decision [Phys. Today, December 2003]:
Why?
1. Gor'kov's microscopic justification of the GL theory is shown to be invalid.
(So Gor'kov's formalism is not a proper generalization of the BCS theory.)
Yong-Jihn Kim, Mod. Phys. Lett.B 10, 555 (1996).
Y-J Kim and A W Overhauser, Phys. Rev. B 47, 8025 (1993).
Comment by Abrikosov and Gor'kov, Phys. Rev. B 49, 12337 (1994).
Reply by Kim and Overhauser, Phys. Rev. B 49, 12339 (1994).
2. Abrikosov's vortex solution is not even a solution of the Gor'kov's formalism.
Yong-Jihn Kim, Absence of the vortex solution in Gor'kov's formalism,
cond-mat/9912464.
More details.
1. Gor'kov's microscopic justification of the GL theory is shown to be invalid.
(So Gor'kov's formalism is not a proper generalization of the BCS theory.)
Yong-Jihn Kim, Mod. Phys. Lett.B 10, 555 (1996).
Y-J Kim and A W Overhauser, Phys. Rev. B 47, 8025 (1993).
Comment by Abrikosov and Gor'kov, Phys. Rev. B 49, 12337 (1994).
Reply by Kim and Overhauser, Phys. Rev. B 49, 12339 (1994).
2. Abrikosov's vortex solution is not even a solution of the Gor'kov's formalism.
Yong-Jihn Kim, Absence of the vortex solution in Gor'kov's formalism,
cond-mat/9912464.
More details.
- There are also some fundamental problems in our undestanding of the Josephon effect (1973 Nobel Prize).
in the field of ac (Josephson) effects there are more questions than answers.
2. From M. Tinkam, Introduction to Superconductivity (McGraw-Hill, 1975), p. 195
2. From M. Tinkam, Introduction to Superconductivity (McGraw-Hill, 1975), p. 195
Experiments show the negative sign, whereas the theory yields the positive sign!
3. Rediscovery of the Threshold resistance in SIS Josephson junctions
=> Only the small gap of MgB2 SIS junctions shows the supercurrent, while the
big gap doesn't.
=> High Tc cuprates SIS junctions do not show the Josephson effect.
=> The observed DC supercurrent of low Tc superconductors, such as Nb, Pb, and Sn, falls of much faster than 1/Rn for tunneling resistance Rn above a few ohms.
3. Rediscovery of the Threshold resistance in SIS Josephson junctions
=> Only the small gap of MgB2 SIS junctions shows the supercurrent, while the
big gap doesn't.
=> High Tc cuprates SIS junctions do not show the Josephson effect.
=> The observed DC supercurrent of low Tc superconductors, such as Nb, Pb, and Sn, falls of much faster than 1/Rn for tunneling resistance Rn above a few ohms.
From H. Schmidt et al. Phys. Rev. Lett. 88, 127002 (2002) , MgB2 break junction
