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# SANS investigations of the flux line lattice in unconventional superconductors

White, Jonathan Stuart (2009)
Ph.D. thesis, University of Birmingham.

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## Abstract

Small-angle neutron scattering has been used to study the flux line lattice (FLL) in the $$d$$-wave superconductors YBa$$_2$$Cu$$_3$$O$$_7$$ and CeCoIn$$_5$$. Our studies on the High-$$T_c$$ superconductor YBa$$_2$$Cu$$_3$$O$$_7$$ were carried out using a twin-free sample, and we present the first observations of the intrinsic FLL structure in this material, with a magnetic field applied parallel to the crystal c-axis (H || c). We observe a sequence of field-driven FLL structure transitions, the detailed physics of which can be broadly described in terms of field-induced non-locality, the potency of which is perhaps increased by the anisotropy of the order-parameter. The heavy-fermion superconductor CeCoIn$$_5$$ exhibits an exotic ground state that combines unconventional superconductivity with strong paramagnetism. With H || c, these properties contribute towards both a rich FLL structure phase diagram, and new behaviour of the FLL form factor. Most notably, we observe the form factor to increase with field, in strong contrast to the monotonic decrease expected from predictions made using more conventional theories. These results can be qualitatively described by calculations made within the framework of the quasiclassical Eilenberger theory, which indicate the increase in the form factor as due to field-induced Pauli paramagnetic effects which manifest most strongly within the flux line cores.

Type of Work: Ph.D. thesis. Forgan, E. M. Colleges (2008 onwards) > College of Engineering & Physical Sciences School of Physics and Astronomy Flux line lattice, superconductivity, high-Tc, heavy-fermion QC Physics University of Birmingham 319
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