b c ASCADE APPARATUS (a) constructed by Onnes in 1892 uld produce 14 liters of liquid air per hour. Liquid air was esntial for operating the hydrogen

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Hg Heike Kamerlingh Onnes COURTESY OF THE KAMERLINGH ONNES LABORATORY, LEIDEN UNIVERSITY, THE NETHERLANDS Heike Kamerlingh Onnes s Discovery of Superconductivity Scientific American March 1997 99 Copyright 1997 Scientific American, Inc.

b c ASCADE APPARATUS (a) constructed by Onnes in 1892 uld produce 14 liters of liquid air per hour. Liquid air was esntial for operating the hydrogen liquefier (b) he perfected in 06. The hydrogen gas travels through the system to a liquid r bath and ultimately to an expansion valve, which permits hydrogen gas to expand and liquefy. The liquid hydrogen is collected, while gas returns to the compressor. Onnes developed the first helium liquefier (c) in 1908. He posed with his mentor, Johannes Diderik van der Waals, in front of the device in 1911 (d) and, a decade later, with his chief assistant, Gerrit Flim (e).

d e COURTESY OF THE KAMERLINGH ONNES LABORATORY, LEIDEN UNIVERSITY (a e)

a b c LORD KELVIN (1902) COURTESY OF MUSEUM BOERHAAVE, LEIDEN d RESISTANCE (OHMS) 0.002 0.001 0 RESISTANCE MATTHIESSEN (1864) DEWAR (1904) 0 TEMPERATURE THALLIUM MERCURY TIN CADMIUM LEAD 2 4 6 8 TEMPERATURE (KELVINS) COURTESY OF THE KAMERLINGH ONNES LABORATORY, LEIDEN UNIVERSITY (b d) CAILLETET COMPRESSOR (a), invented by Louis P. Cailletet, who liquefied oxygen and nitrogen, was extremely useful to Onnes throughout his research. Because no gas is lost during compression or expansion, the device was suitable for working with pure and costly gases. A W-shaped capillary tube (b) carried the mercury wire used in the tests for mercury s resistance at low temperatures. Before Onnes began his investigations, the predicted behavior of metals (c) was quite different from what he actually found. He discovered that sharp drops in resistance (d) accompany decreasing temperatures for mercury and a number of other metals.

Cu, Ag, Au => 40 μk Compounds year Tc (K) Hg 1911 4.2 Hg ( ) 1912 4.2 Pb 1913 7.2 NbC 1930 10.3 NbN 1941 16 NbC0.3N0.7 1953 17.8 Nb3Sn 1954 18 Nb3Al0.8Ge0.2 1969 19.2 Nb3Ge 1973 23 MgB2 2001 39 La2-xBaxCuO4 1986 30 La2-xSrxCuO4 1987.1 40 YBa2Cu3O7-x 1987.3 93 BiSrCaCu2Ox 1988.2 105 Tl2Ba2Ca2Cu3Ox 1988.3 120 HgBa2Ca2Cu3Ox 1993 133 Compounds year Tc (K) (TMTSF)2PF6 (P 10 kbar) 1980 1.3 (TMTSF)2ClO4 1981 1.4 (TMTSF)2FSO3 (P =5-6 kbar) 1983 2.1!-(BEDT-TTF)2AuI2 1985 5!-(BEDT-TTF)2I3 (P =1.3 kbar) 1985 8 "-(BEDT-TTF)2Cu(NCS)2 1988 10.3 K3C60 1991 18 Cs2RbC60 1991 33 LaFePO 2006 4 LaFeAs(O1-xFx ) 2008.2 26 NdFeAs(O1-xFx ) 2008.5 51 SmFeAs(O1-xFx ) 2008.6 55 Gd1-xThxFeAsO 2008.9 56 O http://sakaki.issp.u-tokyo.ac.jp/user/kittaka/contents/others/tc-history.html

4.2 K 1908 Hg 1911 http://sakaki.issp.u-tokyo.ac.jp/user/kittaka/contents/others/tc-history.html (Made by S. Kitagawa and S. Kittaka, Nov. 2008) - Records of the superconducting transition temperature Tc - keyword

(G) H C (T) H C (0) = 1! " $ # T T C % ' & 2 H C : Gauss

(G) H C : Tesla

B = H + 4!M, B = 0 ( ) 4!M = H! = 1/4!, (cgs)

F F x F ( ) T, H T, H x F x x

T > TC T < TC

T > TC H " 0 TC T < TC H " 0 T < TC H = 0 T < TC H " 0 1 cm/hr

W W =!" MidH = 0 H H H " 4# idh = H 2 0 8# F(T,H) = FS(T,H) FN(T,H) MN MS FN(T,0) # FN(T,HC) HC FS(T, HC) = FN(T, HC) F S (0, H C )! F N (0, H C ) = H C 2 8"

=>

C es! T C " aexp(#b T C T ) C en = T, a#10, b#1.5 Boltzmann # 1.5 k B T C

Eg!(T)!(0)! # % 1 " T $ T C & ( ' 1/2 Δ(0) # 3 4 k B T C Δ(0) # 3.528 k B T C (BCS ) # 1.5 k B T C 3.5 k B T C