TAILIEUCHUNG - Superconductivity Theory and Applications Part 10

Tham khảo tài liệu 'superconductivity theory and applications part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 214 Superconductivity - Theory and Applications unconventional behavior of CeColns the small angle neutron scattering SANS experiment reported anomalous H-dependence of flux line lattice FLL form factor determined from the Bragg intensity Bianchi et al. 2008 DeBeer-Schmitt et al. 2006 White et al. 2010 . While the form factor shows exponential decay as a function of H in many superconductors it increases until near Hc2 for H II c in CeColns. In some heavy fermion superconductors the paramagnetic effects due to Zeeman shift are important to understand the properties of the vortex states because the superconductivity survives until under high magnetic fields due to the effective mass enhancement. A heavy fermion compound CeColns is a prime candidate of a superconductor with strong Pauli-paramagnetic effect Matsuda Shimahara 2007 . There at higher fields Hc2 changes to the first order phase transition Bianchi et al. 2002 Izawa et al. 2001 Tayama et al. 2002 and new phase considered as Fulde-Ferrell-Larkin-Ovchinnikov FFLO state appears Bianchi Movshovich Capan Pagliuso Sarrao 2003 Radovan et al. 2003 . As for properties of CeColns the contribution of antiferromagnetic fluctuation and quantum critical point QCP is also proposed in addition to the strong paramagnetic effect Bianchi Movshovich Vekhter Pagliuso Sarrao 2003 Paglione et al. 2003 . Therefore it is expected to study whether properties of vortex states in CeColns are theoretically explained only by the paramagnetic effect. Theoretical studies of the H-dependences also help us to estimate strength of the paramagnetic effect in addition to pairing symmetry from experimental data of the H-dependences in various superconductors. In this chapter we concentrate to discuss the paramagnetic effect in the vortex states to see how the paramagnetic effect changes structures and properties of vortex states. The BCS Hamiltonian in magnetic field is given by H - .N ỉd3r rìa r Ka r ýa r a t r d3r1 d3 r2 A r1 r2 r1 r2 A r1 r2

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