Abstract
Since the discovery of superconductivity1, there has been a drive to understand the mechanisms by which it occurs. The BCS (Bardeen–Cooper–Schrieffer) model successfully treats the electrons in conventional superconductors as pairs coupled by phonons (vibrational modes of oscillation) moving through the material2, but there is as yet no accepted model for high-transition-temperature, organic or ‘heavy fermion’ superconductivity. Experiments that reveal unusual properties of those superconductors could therefore point the way to a deeper understanding of the underlying physics. In particular, the response of a material to a magnetic field can be revealing, because this usually reduces or quenches superconductivity. Here we report measurements of the heat capacity and magnetization that show that, for particular orientations of an external magnetic field, superconductivity in the heavy-fermion material CeCoIn5 is enhanced through the magnetic moments (spins) of individual electrons. This enhancement occurs by fundamentally altering how the superconducting state forms, resulting in regions of superconductivity alternating with walls of spin-polarized unpaired electrons; this configuration lowers the free energy and allows superconductivity to remain stable. The large magnetic susceptibility of this material leads to an unusually strong coupling of the field to the electron spins, which dominates over the coupling to the electron orbits.
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References
Onnes, H. K. The resistance of pure mercury at helium temperatures. Comm. Phys. Lab. Univ. Leiden. No. B 120, 3 (1911)
Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Theory of superconductivity. Phys. Rev. 108, 1175–1204 (1957)
Werthamer, N. R., Helfand, E. & Hohenberg, P. C. Temperature and purity dependence of the superconducting critical field, Hc2. III. Electron spin and spin-orbit effects. Phys. Rev. 147, 295–302 (1966)
Clogston, A. M. Upper limit for critical field in hard superconductors. Phys. Rev. Lett. 9, 266–267 (1962)
Maki, K. Effect of Pauli paramagnetism on magnetic properties of high-field superconductors. Phys. Rev. 148, 362–369 (1966)
Fulde, P. & Ferrell, R. A. Superconductivity in a strong spin-exchange field. Phys. Rev. 135, A550–A563 (1964)
Larkin, A. I. & Ovchinnikov, Y. N. Inhomogeneous state of superconductors. Sov. Phys. JETP 20, 762–769 (1965)
Norman, M. R. Existence of the FFLO state in superconducting UPd2Al3 . Phys. Rev. Lett. 71, 3391 (1993)
Agterberg, D. F. & Yang, K. The effect of impurities on Fulde-Ferrell-Larkin-Ovchinnikov superconductors. J. Phys. Condens. Matter 13, 9259–9270 (2001)
Buzdin, A. I. & Brison, J. P. New solutions for the superconducting order parameter in a high magnetic field. Phys. Lett. A 218, 359–366 (1996)
Buzdin, A. I. & Brison, J. P. Non-uniform state in 2D superconductors. Europhys. Lett. 35, 707–712 (1996)
Shimahara, H. & Rainer, D. Crossover from vortex states to the Fulde-Ferrell-Larkin-Ovchinnikov state in two-dimensional s- and d-wave superconductors. J. Phys. Soc. Jpn 66, 3591–3599 (1997)
Houzet, M. & Buzdin, A. Structure of the vortex lattice in the Fulde-Ferrell-Larkin-Ovchinnikov state. Phys. Rev. B 63, 184521 (2001)
Petrovic, C. et al. Heavy-fermion superconductivity in CeCoIn5 at 2.3 K. J. Phys. Condens. Matter 13, L337–L342 (2001)
Ikeda, S. et al. Unconventional superconductivity in CeCoIn5 studied by the specific heat and magnetization measurements. J. Phys. Soc. Jpn 70, 2248–2251 (2001)
Movshovich, R. et al. Unconventional superconductivity in CeIrIn5 and CeCoIn5: Specific heat and thermal conductivity studies. Phys. Rev. Lett. 86, 5152–5155 (2001)
Hegger, H. et al. Pressure-induced superconductivity in quasi-2D CeRhIn5 . Phys. Rev. Lett. 84, 4986–4989 (2000)
Sachdev, S. Quantum criticality: Competing ground states in low dimensions. Science 288, 475–480 (2000)
Nicklas, M. et al. Response of the heavy-fermion superconductor CeCoIn5 to pressure: Roles of dimensionality and proximity to a quantum-critical point. J. Phys. Condens. Matter 13, L905–L912 (2001)
Monthoux, P. & Lonzarich, G. G. Magnetically mediated superconductivity in quasi-two and three dimensions. Phys. Rev. B 63, 054529 (2001)
Tayama, T. et al. Unconventional heavy-fermion superconductor CeCoIn5: dc magnetization study at temperatures down to 50 mK. Phys. Rev. B 65, 180504 (2002)
Bianchi, A. et al. First-order superconducting phase transition in CeCoIn5 . Phys. Rev. Lett. 89, 137002 (2002)
Matsuo, S., Higashitani, S., Nagato, Y. & Nagai, K. Phase diagram of the Fulde-Ferrell-Larkin-Ovchinnikov state in a three-dimensional superconductor. J. Phys. Soc. Jpn 67, 280–289 (1998)
Murphy, T. P. et al. Anomalous superconductivity and field-induced magnetism in CeCoIn5 . Phys. Rev. B 65, 100514 (2002)
Paglione, J. et al. Field-induced Fermi liquid state in CeCoIn5 . Phys. Rev. Lett. (submitted); preprint at 〈http://xxx.lanl.gov/cond-mat/0212502〉 (2002)
Burkhardt, H. & Rainer, D. Fulde-Ferrell-Larkin-Ovchinnikov state in layered superconductors. Ann. Phys. 3, 181–194 (1994)
Hannahs, S. T. & Fortune, N. A. Heat capacity cell for angular measurements in high magnetic fields. Physica B 329–333, 1586–1587 (2003)
Fortune, N. A. et al. High magnetic field corrections to resistance thermometers for low temperature calorimetry. Rev. Sci. Instrum. 71, 3825–3830 (2000)
Zieve, R. J. et al. Vortex avalanches at one thousandth the superconducting transition temperature. Phys. Rev. B 53, 11849–11854 (1996)
Mola, M. M., Hill, S., Qualls, J. S. & Brooks, J. S. Magneto-thermal instabilities in an organic superconductor. Int. J. Mod. Phys. B 15, 3353–3356 (2001)
Acknowledgements
We thank J. L. Sarrao for providing the samples, C. C. Agosta for discussions, V. Williams, D. McIntosh, J. Farrell and J. Kosakowski for technical assistance, and N. Malkovich for the Parmax(R) 1200 used in our heat capacity cell. This work was supported by the National Science Foundation, the State of Florida, and NHMFL Visiting Scientist and In-House Research Programs.
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Radovan, H., Fortune, N., Murphy, T. et al. Magnetic enhancement of superconductivity from electron spin domains. Nature 425, 51–55 (2003). https://doi.org/10.1038/nature01842
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DOI: https://doi.org/10.1038/nature01842
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