Heavy fermions: superconductivity and its relationship to quantum criticality

Frank Steglich Max Planck Institute of Chemical Physics of Solids, Noethnitzer Strasse 40, Dresden01187, GermanyCorrespondence[email protected]

Pages 3259-3280 | Received 09 Jun 2014, Accepted 10 Jul 2014, Published online: 12 Sep 2014

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https://doi.org/10.1080/14786435.2014.956835
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References

A.C. Hewson , The Kondo Problem to Heavy Fermions , Cambridge University, Cambridge, 1939.
Google Scholar
K. Andres , J.E. Graebner and H.R. Ott , Phys. Rev. Lett. 35 (1975) p.1779.10.1103/PhysRevLett.35.1779
Web of Science ®Google Scholar
C.D. Bredl , F. Steglich and K.D. Schotte , Z. Phys. B 29 (1978) p.327.
Google Scholar
S. Sachdev , Quantum Phase Transitions , Cambridge University Press, New York , 1999.
Google Scholar
H. von Löhneysen , T. Pietrus , G. Portisch , H.G. Schlager , A. Schröder , M. Sieck and T. Trappmann , Phys. Rev. Lett. 72 (1994) p.3262.10.1103/PhysRevLett.72.3262
PubMed Web of Science ®Google Scholar
O. Trovarelli , C. Geibel , S. Mederle , C. Langhammer , F.M. Grosche , P. Gegenwart , M. Lang , G. Sparn and F. Steglich , Phys. Rev. Lett. 85 (2000) p.626.10.1103/PhysRevLett.85.626
PubMed Web of Science ®Google Scholar
N.D. Mathur , F.M. Grosche , S.R. Julian , I.R. Walker , D.M. Freye , R.K.W. Haselwimmer and G.G. Lonzarich , Nature 394 (1998) p.39.
Web of Science ®Google Scholar
F. Steglich , J. Aarts , C.D. Bredl , W. Lieke , D. Meschede , W. Franz and H. Schäfer , Phys. Rev. Lett. 43 (1979) p.1892.10.1103/PhysRevLett.43.1892
Web of Science ®Google Scholar
See, also: F. Steglich , J. Phys.: Conf. Ser. 400 (2012) p.022111.
Google Scholar
D.D. Osheroff , R.C. Richardson and D.M. Lee , Phys. Rev. Lett. 28 (1972) p.885; D.D. Osheroff , W.J. Gully , R.C. Richardson and D.M. Lee , Phys. Rev. Lett. 29 (1972) p.920.10.1103/PhysRevLett.28.885
Web of Science ®Google Scholar
B.T. Matthias , H. Suhl and E. Corenzwit , Phys. Rev. Lett. 1 (1958) p.92.10.1103/PhysRevLett.1.92
Google Scholar
A.A. Abrikosov and L.P. Gor’kov , Zh. Exsp. Theor. Fiz. 39 (1961) p.1781; Sov. Phys. JETP 12 (1962) p.1243.
Google Scholar
H. Spille , U. Rauchschwalbe and F. Steglich , Helv. Phys. Acta 56 (1983) p.165.
Google Scholar
U. Rauchschwalbe , W. Lieke , C.D. Bredl , F. Steglich , J. Aarts , K.M. Martini and A.C. Mota , Phys. Rev. Lett. 49 (1982) p.1448.10.1103/PhysRevLett.49.1448
Web of Science ®Google Scholar
K. Miyake , S. Schmitt-Rink and C.M. Varma , Phys. Rev. B 34 (1986) p.6554.10.1103/PhysRevB.34.6554
PubMed Web of Science ®Google Scholar
D.J. Scalapino , E. Loh Jr and J.E. Hirsch , Phys. Rev. B 34 (1986) p.8190.10.1103/PhysRevB.34.8190
PubMed Web of Science ®Google Scholar
H.R. Ott , H. Rudigier , Z. Fisk and J.L. Smith , Phys. Rev. Lett. 50 (1983) p.1595.10.1103/PhysRevLett.50.1595
Web of Science ®Google Scholar
G.R. Stewart , Z. Fisk , J.O. Willis and J.L. Smith , Phys. Rev. Lett. 52 (1984) p.679.10.1103/PhysRevLett.52.679
Web of Science ®Google Scholar
G.P. Meisner , A.L. Giorgi , A.C. Lawson , G.R. Stewart , J.O. Willis , M.S. Wire and J.L. Smith , Phys. Rev. Lett. 53 (1984) p.1829.10.1103/PhysRevLett.53.1829
Web of Science ®Google Scholar
W. Schlabitz , J. Baumann , B. Pollit , U. Rauchschwalbe , H.M. Mayer , U. Ahlheim and C.D. Bredl , Abstr. 4th Int. Conf. Valence Fluctuations (Cologne) unpublished, 1984; Z. Phys. B 62 (1986) p.171.10.1007/BF01323427
Google Scholar
W. Assmus , M. Herrmann , U. Rauchschwalbe , S. Riegel , W. Lieke , H. Spille , S. Horn , G. Weber , F. Steglich and G. Cordier , Phys. Rev. Lett. 52 (1984) p.469.10.1103/PhysRevLett.52.469
Web of Science ®Google Scholar
F. Steglich , P. Gegenwart , C. Geibel , R. Helfrich , P. Hellmann , M. Lang , A. Link , R. Modler , G. Sparn , N. Büttgen and A. Loidl , Physica B 223–224 (1996) p.1.10.1016/0921-4526(96)00026-9
Web of Science ®Google Scholar
F. Steglich , P. Gegenwart , C. Geibel , P. Hinze , M. Lang , C. Langhammer , G. Sparn , T. Tayama , O. Trovarelli , N. Sato , T. Dahm and G. Varelogiannis , Superconductivity and magnetism in heavy fermions, in More is Different Fifty Years of Condensed Matter Physics , N.P. Ong and R.N. Bhatt , eds., Princeton, NJ, Princeton University Press, 2001, p. 191.
Google Scholar
For a recent review on heavy-fermion superconductors, see: C. Pfleiderer , Rev. Mod. Phys. 81 (2009) p.1551.10.1103/RevModPhys.81.1551
Web of Science ®Google Scholar
T. Hattori , Y. Ihara , Y. Nakai , K. Ishida , Y. Tada , S. Fujimoto , N. Kawasaki , E. Osaki , K. Deguchi and N.K. Sato , Phys. Rev. Lett. 108 (2012) p.066403.10.1103/PhysRevLett.108.066403
PubMedGoogle Scholar
N.K. Sato , N. Aso , K. Miyake , R. Shiina , P. Thalmeier , G. Varelogiannis , C. Geibel , F. Steglich , P. Fulde and T. Komatsubara , Nature 410 (2001) p.340.10.1038/35066519
PubMed Web of Science ®Google Scholar
M.B. Maple , C.-P. Ho , V.S. Zapf , N.A. Frederick , E.D. Bauer , W.M. Yuhasz , F.M. Woodward and J.W. Lynn , J. Phys. Soc. Jpn. 71(Suppl) (2002) p.23.
Google Scholar
H.Q. Yuan , F.M. Grosche , M. Deppe , C. Geibel , G. Sparn and F. Steglich , Science 302 (2003) p.2104.10.1126/science.1091648
PubMed Web of Science ®Google Scholar
D. Jaccard , K. Behnia and J. Sierro , Phys. Lett. A 163 (1992) p.475.10.1016/0375-9601(92)90860-O
Web of Science ®Google Scholar
H.Q. Yuan , F.M. Grosche , M. Deppe , G. Sparn , C. Geibel and F. Steglich , Phys. Rev. Lett. 96 (2006) p.047008.10.1103/PhysRevLett.96.047008
PubMedGoogle Scholar
Y. Onishi and K. Miyake , J Phys. Soc. Jpn. 69 (2001) p.3955; A. Holmes , D. Jaccard and K. Miyake , Phys. Rev. B 69 (2004) p.024508.
Google Scholar
H. Tou , Y. Kitaoka , K. Ishida , K. Asayama , N. Kimura , Y. Ōnuki , E. Yamamoto , Y. Haga and K. Maezawa , Phys. Rev. Lett. 80 (1998) p.3129.10.1103/PhysRevLett.80.3129
Web of Science ®Google Scholar
K. Ishida , D. Ozaki , T. Kamatsuka , H. Tou , M. Kyogaku , Y. Kitaoka , N. Tateiwa , N.K. Sato , N. Aso , C. Geibel and F. Steglich , Phys. Rev. Lett. 89 (2001) p.037002.
Web of Science ®Google Scholar
S.S. Saxena , P. Agarwal , K. Ahilan , F.M. Grosche , R.K.W. Haselwimmer , M.J. Steiner , E. Pugh , I.R. Walker , S.R. Julian , P. Monthoux , G.G. Lonzarich , A. Huxley , I. Sheikin , D. Braithwaite and J. Flouquet , Nature 406 (2000) p.587.
PubMed Web of Science ®Google Scholar
F. Levy , I. Sheikin , B. Grenier and A.D. Huxley , Science 309 (2005) p.1343.10.1126/science.1115498
PubMed Web of Science ®Google Scholar
N.T. Huy , A. Gasparini , D.E. de Nijs , Y. Huang , J.C.P. Klaasse , T. Gortenmulder , A. de Visser , A. Hamann , T. Görlach and H. von Löhneysen , Phys. Rev. Lett. 99 (2007) p.067006.10.1103/PhysRevLett.99.067006
PubMed Web of Science ®Google Scholar
E. Bauer , G. Hilscher , H. Michor , Ch Paul , E.W. Scheidt , A. Gribanov , Yu Seropegin , H. Noël , M. Sigrist and P. Rogl , Phys. Rev. Lett. 92 (2004) p.027003.10.1103/PhysRevLett.92.027003
PubMed Web of Science ®Google Scholar
L.P. Gor’kov and R.I. Rashba , Phys. Rev. Lett. 87 (2001) p.037004.10.1103/PhysRevLett.87.037004
PubMed Web of Science ®Google Scholar
D.F. Agterberg , P.A. Frigeri , R.P. Kaur , A. Koga and M. Sigrist , Physica B 378–380 (2006) p.351.10.1016/j.physb.2006.01.125
Web of Science ®Google Scholar
H.Q. Yuan , D.F. Agterberg , N. Hayashi , P. Badica , D. Vandervelde , K. Togano , M. Sigrist and M.B. Salamon , Phys. Rev. Lett. 97 (2006) p.017006.10.1103/PhysRevLett.97.017006
PubMed Web of Science ®Google Scholar
See, e.g. J. Sauls , Adv. Phys. 43 (1994) p.113; M.R. Norman , Science 332 (2011) p.196.10.1080/00018739400101475
Web of Science ®Google Scholar
H.R. Ott , H. Rudigier , Z. Fisk and J.L. Smith , Phys. Rev. B 31 (1985) p.1651.10.1103/PhysRevB.31.1651
PubMed Web of Science ®Google Scholar
M. Kenzelmann , Th. Strassle , C. Niedermayer , M. Sigrist , B. Padmanabhan , M. Zolliker , A.D. Bianchi , R. Movshovich , E.D. Bauer , J.L. Sarrao and J.D. Thompson , Science 321 (2008) p.1652.10.1126/science.1161818
PubMed Web of Science ®Google Scholar
See, e.g. D. Vollhardt and P. Wölfe , The Superfluid Phases of ³He , Taylor & Francis, London, 1990.
Google Scholar
F. Steglich , Magnetic moments of rare earth ions in a metallic environment , in Festkörperprobleme (Adv. Solid State Physics), J. Treusch , ed., Vol. XVII, Vieweg, Braunschweig, 1977, p.319.10.1103/PhysRevLett.63.676
Google Scholar
F. Steglich , C.D. Bredl , M. Loewenhaupt and K.D. Schotte , J. Physique 40 (1979) C5-p.301.
Google Scholar
A.P. Pikul , U. Stockert , A. Steppke , T. Cichorek , S. Hartmann , N. Caroca-Canales , N. Oeschler , M. Brando , C. Geibel and F. Steglich , Phys. Rev. Lett. 108 (2012) p.066405.10.1103/PhysRevLett.108.066405
PubMedGoogle Scholar
O. Stockert , J. Arndt , E. Faulhaber , C. Geibel , H.S. Jeevan , S. Kirchner , M. Loewenhaupt , K. Schmalzl , W. Schmidt , Q. Si and F. Steglich , Nature Phys. 7 (2011) p.119.10.1038/nphys1852
Web of Science ®Google Scholar
U. Köhler , N. Oeschler , F. Steglich , S. Maquilon and Z. Fisk , Phys. Rev. B 77 (2008) p.104412.10.1103/PhysRevB.77.104412
Web of Science ®Google Scholar
S. Ernst , S. Kirchner , C. Krellner , C. Geibel , G. Zwicknagl , F. Steglich and S. Wirth , Nature 474 (2011) p.362.10.1038/nature10148
PubMed Web of Science ®Google Scholar
P. Sun and F. Steglich , Phys. Rev. Lett. 110 (2013) p.216405.
PubMed Web of Science ®Google Scholar
S. Doniach , Physica B+C 91 (1977) p.231.10.1016/0378-4363(77)90190-5
Google Scholar
J.A. Hertz , Phys. Rev. B 14 (1976) p.1165.10.1103/PhysRevB.14.1165
Web of Science ®Google Scholar
T. Moriya , Spin Fluctuations in Itinerant Electron Magnetism , Springer, Berlin, 1985.10.1007/978-3-642-82499-9
Google Scholar
A.J. Millis , Phys. Rev. B 48 (1993) p.7183.10.1103/PhysRevB.48.7183
PubMed Web of Science ®Google Scholar
Q. Si , S. Rabello , K. Ingersent and J.L. Smith , Nature 413 (2001) p.804.10.1038/35101507
PubMed Web of Science ®Google Scholar
P. Coleman , C. Pépin , Q. Si and R. Ramazashvili , J. Phys.: Condens. Matter 13 (2001) p.R723.
Web of Science ®Google Scholar
O. Stockert , E. Faulhaber , G. Zwicknagl , N. Stüßer , H.S. Jeevan , M. Deppe , R. Borth , R. Küchler , M. Loewenhaupt , C. Geibel and F. Steglich , Phys. Rev. Lett. 92 (2004) p.136401.10.1103/PhysRevLett.92.136401
PubMed Web of Science ®Google Scholar
P. Gegenwart , C. Langhammer , C. Geibel , R. Helfrich , M. Lang , G. Sparn , F. Steglich , R. Horn , L. Donnevert , A. Link and W. Assmus , Phys. Rev. Lett. 81 (1998) p.1501.10.1103/PhysRevLett.81.1501
Web of Science ®Google Scholar
J. Arndt , O. Stockert , K. Schmalzl , E. Faulhaber , H.S. Jeevan , C. Geibel , W. Schmidt , M. Loewenhaupt and F. Steglich , Phys. Rev. Lett. 106 (2011) p.246401.10.1103/PhysRevLett.106.246401
PubMed Web of Science ®Google Scholar
O. Stockert , S. Kirchner , F. Steglich and Q. Si , J. Phys. Soc. Jpn. 81 (2012) p.011001.10.1143/JPSJ.81.011001
Google Scholar
E. Faulhaber , O. Stockert , K. Schmalzl , H.S. Jeevan , M. Deppe , C. Geibel , F. Steglich and M. Loewenhaupt , J. Magn. Magn. Mat. 310 (2007) p.295.10.1016/j.jmmm.2006.10.049
Web of Science ®Google Scholar
F. Ohkawa , J. Phys. Soc. Jpn. 56 (1987) p.2267.10.1143/JPSJ.56.2267
Google Scholar
K. Ishida , Y. Kawasaki , K. Tabuchi , K. Kashima , Y. Kitaoka , K. Asayama , C. Geibel and F. Steglich , Phys. Rev. Lett. 82 (1999) p.5353.10.1103/PhysRevLett.82.5353
Web of Science ®Google Scholar
K. Fujiwara , Y. Hata , K. Kobayashi , K. Miyoshi , J. Takeuchi , Y. Shimaoka , H. Kotegawa , T.C. Kobayashi , C. Geibel and F. Steglich , J. Phys. Soc. Jpn. 77 (2008) p.123711.10.1143/JPSJ.77.123711
Google Scholar
H. Vieyra , N. Oeschler , S. Seiro , H.S. Jeevan , C. Geibel , D. Parker and F. Steglich , Phys. Rev. Lett. 106 (2011) p.207001.10.1103/PhysRevLett.106.207001
PubMed Web of Science ®Google Scholar
S. Kittaka , Y. Aoki , Y. Shimura , T. Sakakibara , S. Seiro , C. Geibel , F. Steglich , H. Ikeda and K. Machida , Phys. Rev. Lett. 112 (2014) p.067002.
PubMed Web of Science ®Google Scholar
A. Schröder , G. Aeppli , R. Coldea , M. Adams , O. Stockert , H. von Löhneysen , E. Bucher , R. Ramazashvili and P. Coleman , Nature 407 (2000) p.351.
PubMed Web of Science ®Google Scholar
T. Park , F. Ronning , H.Q. Yuan , M.B. Salamon , R. Movshovich , J.L. Sarrao and J.D. Thompson , Nature 440 (2006) p.65.10.1038/nature04571
PubMed Web of Science ®Google Scholar
H. Shishido , R. Settai , H. Harima and Y. Ōnuki , J. Phys. Soc. Jpn. 74 (2005) p.1103.10.1143/JPSJ.74.1103
Google Scholar
S. Watanabe , A. Tsuruta , K. Miyake and J. Flouquet , J. Phys. Soc. Jpn. 78 (2009) p.104706.10.1143/JPSJ.78.104706
Google Scholar
J. Custers , P. Gegenwart , H. Wilhelm , K. Neumaier , Y. Tokiwa , O. Trovarelli , C. Geibel , F. Steglich , C. Pépin and P. Coleman , Nature 424 (2003) p.524.10.1038/nature01774
PubMed Web of Science ®Google Scholar
C.M. Varma , P.B. Littlewood , S. Schmitt-Rink , E. Abrahams and A.E. Ruckenstein , Phys. Rev. Lett. 63 (1989) p.1996.10.1103/PhysRevLett.63.1996
PubMed Web of Science ®Google Scholar
S. Paschen , T. Lühmann , S. Wirth , P. Gegenwart , O. Trovarelli , C. Geibel , F. Steglich , P. Coleman and Q. Si , Nature 432 (2004) p.881.10.1038/nature03129
PubMed Web of Science ®Google Scholar
S. Friedemann , N. Oeschler , S. Wirth , C. Krellner , C. Geibel , F. Steglich , S. Paschen , S. Kirchner and Q. Si , Proc. Natl. Acad. Sci. USA 107 (2010) p.14547.10.1073/pnas.1009202107
PubMed Web of Science ®Google Scholar
S. Hartmann , N. Oeschler , C. Krellner , C. Geibel , S. Paschen and F. Steglich , Phys. Rev. Lett. 104 (2010) p.096401.10.1103/PhysRevLett.104.096401
PubMed Web of Science ®Google Scholar
P. Gegenwart , T. Westerkamp , C. Krellner , Y. Tokiwa , S. Paschen , C. Geibel , F. Steglich , E. Abrahams and Q. Si , Science 315 (2007) p.969.10.1126/science.1136020
PubMed Web of Science ®Google Scholar
S. Friedemann , S. Wirth , N. Oeschler , C. Krellner , C. Geibel , F. Steglich , S. MaQuilon , Z. Fisk , S. Paschen and G. Zwicknagl , Phys. Rev. B 82 (2010) p.035103.10.1103/PhysRevB.82.035103
Google Scholar
H. Pfau , S. Hartmann , U. Stockert , P. Sun , S. Lausberg , M. Brando , S. Friedemann , C. Krellner , C. Geibel , S. Wirth , S. Kirchner , E. Abrahams , Q. Si and F. Steglich , Nature 484 (2012) p.493.10.1038/nature11072
PubMed Web of Science ®Google Scholar
F. Steglich , H. Pfau , S. Lausberg , S. Hamann , P. Sun , U. Stockert , M. Brando , S. Friedemann , C. Krellner , C. Geibel , S. Wirth , S. Kirchner , E. Abrahams and Q. Si , J. Phys. Soc. Jpn. 83 (2014) p.061001.
Google Scholar
S. Friedemann , T. Westerkamp , M. Brando , N. Oeschler , S. Wirth , P. Gegenwart , C. Krellner , C. Geibel and F. Steglich , Nature Phys. 5 (2009) p.465.10.1038/nphys1299
Web of Science ®Google Scholar
Q. Si and F. Steglich , Science 329 (2010) p.1161.10.1126/science.1191195
PubMed Web of Science ®Google Scholar
C. Klingner , C. Krellner , M. Brando , C. Geibel , F. Steglich , D.V. Vyalikh , K. Kummer , S. Danzenbächer , S.L. Molodtsov , C. Laubschat , T. Kinoshita , Y. Kato and T. Muro , Phys. Rev. B 83 (2011) p.144405.10.1103/PhysRevB.83.144405
Web of Science ®Google Scholar
Y. Tokiwa , P. Gegenwart , C. Geibel and F. Steglich , J. Phys. Soc. Jpn. 78 (2009) p.123708.10.1143/JPSJ.78.123708
Google Scholar
H.Q. Yuan , L. Jiao , Y. Kohama , E.D. Bauer , J.-X. Zhu , J. Singleton , T. Shang , J.L. Zhang , Y. Chen , H.U. Lee , T. Park , M. Jaime , J.D. Thompson , F. Steglich and Q. Si , to be published.
Google Scholar
Q. Si , Physica B 378–380 (2006) p.23.10.1016/j.physb.2006.01.156
Web of Science ®Google Scholar
Q. Si , Phys. Status Solidi B 247 (2010) p.476.10.1002/pssb.v247:3
Google Scholar
See, e.g. N. Oeschler , F. Kromer , T. Tayama , K. Tenya , P. Gegenwart , G. Sparn , F. Steglich , M. Lang and G.R. Stewart , Acta Phys. Pol. 34 (2003) p.255.
Web of Science ®Google Scholar
S. Nakatsuji , K. Kuga , Y. Machida , T. Tayama , T. Sakakibara , Y. Karaki , H. Ishimoto , S. Yonezawa , Y. Maeno , E. Pearson , G.G. Lonzarich , L. Balicas , H. Lee and Z. Fisk , Nature Phys. 4 (2008) p.603.10.1038/nphys1002
Web of Science ®Google Scholar
E. Schuberth , M. Tippmann , L. Steinke , S. Lausberg , A. Steppke , M. Brando , C. Krellner , C. Geibel , R. Yu , Q. Si and F. Steglich , to be published.
Google Scholar
P.A. Casey , J.D. Koralek , N. C. Plumb and D. S. Dessau , Nature Phys. 4 (2008) p.210.10.1038/nphys833
Web of Science ®Google Scholar

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