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BCS Superconductivity Development and Controversy


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Old Feb18-13, 07:50 AM
Re: Introduction to Solid State Physics by Charles Kittel
      Last edited by DaleSpam; Feb18-13 at 06:22 PM..            #1
M@2 M@2 is online now

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Quote by Greg Bernhardt View Post
Exellent book. Especially 1953 year edition.

Quote by Kittel
Recently there have been a number of attempts to give a quantum-
mechanical explanation of superconductivity. We mention work by
Heisenberg,28 Tisza,29 Slater,30 Born and Cheng,1 Frohlich,32 and
Bardeen.32 At the present time all these theories are highly contro-
versial, and the difficulties do not lend themselves to analysis in an
introductory textbook.
It has no subsequent ideas of Cooper pairing, preventing us of from understanding of HTS.

Quote by Kittel
In every theory the apparent contradiction between the Bloch theorem and the observed persistence of currents in a superconducting ring is explained by the presumed metastable nature of the current distribution.
Anticipating words!!!
Bloch theorem must be corrected!!!
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Old Feb18-13, 04:11 PM
BCS Superconductivity Development and Controversy
      Last edited by DaleSpam; Feb18-13 at 06:22 PM..            #2
marcusl marcusl is offline

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Did you know that the BCS theory of superconductivity wasn't fully developed until 1957? It is covered in later editions such as the 3rd (1967), but lightly since this book is an Introduction to solid state physics. For full coverage, see Kittel's Quantum Theory of Solids, or these excellent books: Harrison, Solid State Theory, or Tinkham, Introduction to Superconductivity.
Also, note that the mechanisms of high temperature superconductivity (HTS) are still being worked out.
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Old Feb18-13, 05:46 PM
Re: Introduction to Solid State Physics by Charles Kittel
      Last edited by M@2; Feb18-13 at 07:18 PM..            #3
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Quote by marcusl View Post
Did you know that the BCS theory of superconductivity wasn't fully developed until 1957? It is covered in later editions such as the 3rd (1967), but lightly since this book is an Introduction to solid state physics. For full coverage, see Kittel's Quantum Theory of Solids, or these excellent books: Harrison, Solid State Theory, or Tinkham, Introduction to Superconductivity.
Also, note that the mechanisms of high temperature superconductivity (HTS) are still being worked out.
I many do know.
Date of 1957.
Discussion between Bernd Matthias and P.W. Anderson about validity of BCS, published in Science 144, 373 (1964). See "A career in theoretical physics" by Philip W. Anderson.
Quote by ""Matthias
These include the prediction that the Knight shift in superconductors vanishes, that higher transition temperatures exist, and that the isotope effect, with a value of M(-1/2) is general; in addition, the theory has also incorrectly predicted the electronic heat conductivity.
Unfortunately, one question remained almost totally ignored in most theories and experiments; namely, What are the critical conditions for the occurrence of superconductivity itself? Derivations of a criterion were first attempted by Frohlich and Bardeen, and later by Bardeen, Cooper, and Schrieffer. The latter group actually gave an equation for the transition temperature itself; this equation, however, contained an interaction constant that cannot be calculated at present Apart from this difficulty, the critical condition* for superconductivity could not be predicted by this equation either. Fог example, асcording to the equation, yttrium and lanthanum should have (the same transition temperature, that of yttrium being possibly a liltle higher, since both have the same N(0) and almost the same V and Debye temperature. However, yttrium is not superconducting down to 0.07'K and alfa lanthanum is superconducting at about 5K. This difference is discussed later. Moreover, this formula, cited by Anderson, is not only crude, as he says, but also incorrect for the transition elements, since the dependence of Tc on N (0) is in most cases the exact opposite of that stated in the formula. For example, the T, of yttrium, rhodium, and platinum decreases with an increase in N{0). Since the formula was proposed it seems to have been discarded completely because it does not present the criteria for the occurrence of superconductivity which, on the other hand, are easily given by a simple empirical rule (9).
P. Aynajian, T. Keller, L. Boeri, S.M. Shapiro, K. Habicht, B. Keimer,
Energy gaps and Kohn anomalies in elemental superconductors,
Science, vol. 319, pp. 1509-1512, 2008.
http://www.sciencemag.org/content/31.../1509.abstract

BCS theory of superconductivity: it is time to question its validity ...
http://iopscience.iop.org/1402-4896/80/3/035702/ by JE Hirsch - 2009

Jan 26, 2009 BCS theory of superconductivity: the world's largest Madoff scheme? JE Hirsch. http://arxiv.org/abs/0901.4099

http://en.wikipedia.org/wiki/User:Bv...t_oscillations

And i had the luck to read paper by Minich recently, prepared for Nature.http://love.minich.ru
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Old Y, 08:19 AM
Re: Introduction to Solid State Physics by Charles Kittel
                 #4
DrDu DrDu is offline

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Quote by M@2 View Post
Discussion between Bernd Matthias and P.W. Anderson about validity of BCS, published in Science 144, 373 (1964). See "A career in theoretical physics" by Philip W. Anderson.
Come on, you won't base your argument on some discussion from 1964 of an empirical formula.

The superconducting parameters for e.g. Yttrium, which was mentioned as problematic by Anderson, can be calculated nowadays with reasonable accuracy from first principles using Eliashberg theory, see, e.g.:

http://www.google.de/url?sa=t&rct=j&...QmA0naFK5qEp-g
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Unread T, 01:22 AM
Re: Introduction to Solid State Physics by Charles Kittel
                 #5
M@2 M@2 is online now

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M@2
Quote by DrDu View Post
Come on, you won't base your argument on some discussion from 1964 of an empirical formula.

The superconducting parameters for e.g. Yttrium, which was mentioned as problematic by Anderson, can be calculated nowadays with reasonable accuracy from first principles using Eliashberg theory, see, e.g.:

http://www.google.de/url?sa=t&rct=j&...QmA0naFK5qEp-g
The basic argument lies in the very clear advantages of Minich theory:

-It modifies band theory. Bloch theorem is violated in case of superconductors. Pseudogap for doped crystals becomes insulator/metal transition for some wavevector's directions (antinodal in cuprates). There is clear explanation for interface superconductivity of Bozovich http://www.nature.com/nature/journal...ture07293.html
Minich found more general instability in solids and liquids than Peierls instability of doubling lattice period. All gaps origin not from cooper pairing, but from Modified Band Theory.
Chapnik-Kikoin rule is a clear consequence of this Modified Band Theory. http://iopscience.iop.org/1402-4896/80/3/035702

-Minich's theory is applicable to quantum liquids: superfluid he-3 and he-4.

-Minich's theory is applicable to quantum supesolid he-4

-Minich's theory is applicable to quantum hall effect.

-Minich's theory is applicable to quantum neutron stars (neutron star quake ).
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