Observation of the Non-linear Meissner Effect

J. A. Wilcox, M. J. Grant, L. Malone, C. Putzke, D. Kaczorowski, T. Wolf, F. Hardy, C. Meingast, J. G. Analytis, J. -H. Chu, I. R. Fisher, A. Carrington*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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A long-standing theoretical prediction is that in clean, nodal unconventional superconductors the magnetic penetration depth $\lambda$, at zero temperature, varies linearly with magnetic field. This non-linear Meissner effect is an equally important manifestation of the nodal state as the well studied linear-in-$T$ dependence of $\lambda$, but has never been convincingly experimentally observed. Here we present measurements of the nodal superconductors CeCoIn$_5$ and LaFePO which clearly show this non-linear Meissner effect. We further show how the effect of a small dc magnetic field on $\lambda(T)$ can be used to distinguish gap nodes from non-nodal deep gap minima. Our measurements of KFe$_2$As$_2$ suggest that this material has such a non-nodal state.
Original languageEnglish
Article number1201
Number of pages6
JournalNature Communications
Issue number1
Early online date7 Mar 2022
Publication statusE-pub ahead of print - 7 Mar 2022

Bibliographical note

Funding Information:
This work was supported by EPSRC grants EP/R011141/1 (J.A.W. and A.C.), EP/L015544/1 (M.J.G., J.A.W. and A.C.) and EP/H025855/1 (C.P., L.M. and A.C.). Crystal growth and characterisation of LaFePO at Stanford University was supported by the Department of Energy, Office of Basic Energy Sciences under Contract No. DE-AC02-76SF00515 (J.G.A., J.H.C. and I.R.F.). Crystal growth and characterisation of CeCoIn was supported by the National Science Centre (Poland) under research grant No. 2015/19/B/ST3/03158 (D.K.). 5

Publisher Copyright:
© 2022, The Author(s).


  • cond-mat.supr-con
  • Electronic properties and materials
  • Superconducting properties and materials


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