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Eighty Years of Superfluidity

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Eighty Years of Superfluidity NEWS & VIEWS RESEARCH Marc Macias-Fauria is at the School of Program: A Review of the Largest Ecological Restoration and Rural Development Program in the Geography and the Environment, University of World (Springer, 2015). Oxford, Oxford OX1 3QY, UK. 3. Hua, F. et al. Nature Commun. 7, 12717 (2016). e-mail: [email protected] 4. Tong, X. et al. Nature Sustain. 1, 44–50 (2018). 5. Harkness, J. China Q. 156, 911–934 (1998). 1. Baccini, A. et al. Science 358, 230–234 (2017). 2. Delang, C. O. & Yuan, Z. China’s Grain for Green This article was published online on 22 January 2018. In Retrospect 50 Years Ago There was an increase in the number of patients discharged from British Eighty years of hospitals in 1964, and a decrease in the average length of stay in hospital compared with 1962 and 1963. superfluidity Men and boys stayed in hospital an average length of 18.3 days in 1964; In 1938, two studies demonstrated that liquid helium-4 flows without friction women and girls … averaged just or viscosity at temperatures close to absolute zero. The finding led to major under two days less (16.7 days) … advances in our understanding of low-temperature physics. These are some of the findings in … the Report on Hospital In-Patient Enquiry for the year 1964 … The WILLIAM P. HALPERIN atoms undergo Bose–Einstein condensation report contains detailed tables and become a superfluid. Similarly, in the prepared from the 1964 ten per cent n the early twentieth century, scientists BCS theory of superconductivity, electrons sample of discharges and deaths discovered the non-intuitive phenomena that have a suitably attractive interaction recorded … The tables are a mine of of superconductivity and superfluidity, in can combine into charged composite bosons information … Injuries, poisonings Iwhich electrons and atoms, respectively, flow called Cooper pairs, which condense to form and the like are all analysed in without resistance over great distances. Super- a superconductor. great detail according to whether fluidity was beautifully demonstrated 80 years In the wake of the Second World War, they were caused by road traffic ago in two papers published in Nature by substantial quantities of the light isotope of accidents, accidents in the home, or Allen and Misener1 and Kapitza2. The authors helium, helium-3, became available through “other” mishaps. observed the flow of liquid helium-4 through production of the heavy isotope of hydrogen From Nature 27 January 1968 extremely narrow channels and showed that (hydrogen-3 or tritium) for use in the hydro- the substance becomes a superfluid at very low gen bomb. Because helium-3 contains an odd temperatures. The studies presaged the firm number of fermions (two protons, one neutron understanding of the relationship between and two electrons), it is not a composite boson. 100 Years Ago superfluidity and superconductivity that now It might therefore be considered that Bose– exists, and which provides the foundation for Einstein condensation could not take place It was stated officially … that investigating unconventional superconductors and that helium-3 could never be a superfluid. the Admiralty had tested many and superfluid phases. However, the success of the BCS theory sug- methods of disguising mercantile Allen and Misener observed the flow of gested another possibility: composite bosons shipping. One of these methods liquid helium-4 through long, thin tubes, and comprising Cooper pairs of helium-3 atoms is to paint the ship with various found that the fluid’s viscosity became immeas- might condense into a superfluid, much like quaint combinations of different urably low at temperatures below 2.17 kelvin. the electrons of a BCS superconductor. colours. But this does not appear to Kapitza obtained similar results by measur- The properties of this hypothetical super- have proved much of a success … ing the flow through a small gap between two fluid were studied theoretically5–7 in the 1960s. Mr. Abbott H. Thayer … was one glass disks (Fig. 1). With foresight, Kapitza Research on the subject then exploded follow- of the first to recognise that a high noted a possible connection to superconduc- ing the unexpected discovery8 in 1972 of this degree of invisibility is conferred on tivity, for which a complete theory was eventu- superfluid at temperatures below 0.003 K. certain birds by the simple adaptation ally realized3 in 1957 by Bardeen, Cooper and At first, the observations were interpreted as of being dark above and whitish Schrieffer (BCS). Shortly after the two Nature spontaneous nuclear magnetic ordering in below. He took two wooden decoy papers were published, an explanation for the solid helium-3, but shortly afterwards, they ducks, and placed them against a superfluidity of liquid helium-4 was offered: were correctly identified as the transition to sandbank. One was coloured like Bose–Einstein condensation4, the process a superfluid9. Nuclear magnetic ordering in the sand … the other was coloured whereby many particles known as bosons solid helium-3 was discovered10 two years later on its upper parts darker than the ‘condense’ into a single quantum state. at a temperature of 0.001 K. surrounding sand, and graded below In the quantum world, particles of the same Cooper pairs have two types of angular to pure white. At a short distance type are indistinguishable, and there are only momentum, characterized by the orbital the first was still clearly visible, but two classes of particle: fermions and bosons. quantum number (L) and the spin quantum the second was quite lost against its However, an even number of interacting fer- number (S). Conventional BCS superconduc- background … Some modification mions can make a composite boson — for tors have L = 0 and S = 0, whereas superfluid of this experiment has been tried on example, an atom of helium-4 is a compos- helium-3 has L = 1 and S = 1. Nevertheless, ships … but this device has not proved ite boson that comprises six fermions (two the superfluid’s properties can be understood so successful as had been hoped. protons, two neutrons and two electrons). using a modified version of the BCS the- From Nature 24 January 1918 At sufficiently low temperatures, helium-4 ory11. The discovery of superfluid helium-3 ©2018 Mac millan Publishers Li mited, part of Spri nger Nature. All ri ghts reserved. ©2018 Mac millan Publishers Li mited, part of Spri nger Nature. All r25i ght sJANUARYreserved. 2018 | VOL 553 | NATURE | 413 RESEARCH NEWS & VIEWS years after the discovery of superfluidity in Thread liquid helium-4, the search is on for other scientifically interesting superfluids and Glass tube superconducting materials. ■ Liquid helium-4 William P. Halperin is in the Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA. e-mail: [email protected] 1. Allen, J. F. & Misener, A. D. Nature 141, 75 (1938). Helium bath 2. Kapitza, P. Nature 141, 74 (1938). 3. Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Phys. Rev. 108, 1175–1204 (1957). 4. London, F. Nature 141, 643–644 (1938). 5. Anderson, P. W. & Morel, P. Phys. Rev. 123, 1911–1934 (1961). Glass disk 6. Balian, R. & Werthamer, N. R. Phys. Rev. 131, 1553–1564 (1963). 7. Vdovin, Y. A. in Application of Methods of Quantum Field Theory to Problems of Many Particles (ed. Alekseyeva, A. I.) (GOS ATOM ISDAT, 1963). 8. Osheroff, D. D., Richardson, R. C. & Lee, D. M. Phys. Rev. Lett. 28, 885–888 (1972). Figure 1 | Experimental evidence for superfluidity. In 1938, Allen and Misener1 and Kapitza2 9. Osheroff, D. D., Gully, W. J., Richardson, R. C. & showed that liquid helium-4 becomes a superfluid — a fluid with zero viscosity — at very low Lee, D. M. Phys. Rev. Lett. 29, 920–923 (1972). temperatures. Whereas Allen and Misener measured the flow of liquid helium-4 through long, thin 10. Halperin, W. P., Archie, C. N., Rasmussen, F. B., Buhrman, R. A. & Richardson, R. C. Phys. Rev. Lett. tubes, Kapitza observed the flow (red arrows) from a glass tube to a helium bath, through a narrow gap 32, 927–930 (1974). between two glass disks. The separation between the disks was adjusted using a thread such that the 11. Vollhardt, D. & Wölfle, P. The Superfluid Phases of level of the column of liquid in the glass tube was above the level of the helium bath. At temperatures Helium 3 (Taylor & Francis, 1990). above 2.17 kelvin, Kapitza found that the difference in height between these levels was maintained for 12. Maki, K. J. Low Temp. Phys. 16, 465–477 (1974). several minutes. Conversely, at lower temperatures, the difference disappeared in seconds. Kapitza 13. Serene, J. W. III Theory of Collisionless Sound in Superfluid Helium 3. PhD thesis, Cornell Univ. (1974). concluded that the viscosity of liquid helium-4 must be immeasurably low below 2.17 K. (Figure 14. Volovik, G. E. & Zubkov, M. A. J. Low Temp. Phys. adapted from ref. 2.) 175, 486–497 (2014). 15. Moores, G. F. & Sauls, J. A. J. Low Temp. Phys. 91, 13–37 (1993). therefore marked the birth of unconventional discovered that has more than one superfluid 16. Lee, Y., Haard, T. M., Halperin, W. P. & Sauls, J. A. Nature 400, 431–433 (1999). superconductivity — and, more precisely, of phase, like helium-3. UPt3 has L = 3 and S = 1, 17. Norman, M. R. in Novel Superfluids Vol. 2 18 superfluids that break certain fundamental as predicted , and one of its phases breaks (eds Bennemann, K.-H. & Ketterson, J. B.) Ch. 13 symmetries of the normal (non-superfluid) time-reversal symmetry in a similar way19 to (Oxford Univ. Press, 2014). 18. Sauls, J. A. Adv. Phys. 43, 113–141 (1994). state. The non-zero values of L and S in super- the A phase of helium-3.
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