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Supervisor's Foreword; Abstract; PublicationsRelevant for this Work de Haas-van Alphen Study of the Fermi-Surface of Superconducting LiFeP and LiFeAsC. Putzke, A.I. Coldea, I. Guillamon, D. Vignolles, A. McCollam, D. LeBeouf, M.D. Watson, I.I. Mazin, S. Kasahara, T. Terashima, T. Shibauchi, Y. Matsuda, A. CarringtonPhysical Review Letter 108, 047002 (2012)Quasiparticle Mass Enhancement Close to the Quantum Critical Point in BaFe2(As1−xPx)2P. Walmsley, C. Putzke, L. Malone, I. Guillamn, D. Vignolles, C. Proust, S. Badoux, A.I. C; Relevant for this Work; Other Publications; Acknowledgements
1 Introduction; 1.1 Low Temperature Physics; 1.2 Iron Based Superconductors; 1.2.1 Crystal Structure and Band Structure; 1.2.2 Phase Diagram; 1.2.3 Magnetic and Orthorhombic Ground State; 1.2.4 Superconductivity and Gap Structure; 1.2.5 Outline of Thesis; References; 2 Theory; 2.1 From Free to Nearly Free Electrons; 2.1.1 Nearly Free Electron; 2.2 Fermi-Liquid Theory; 2.3 Density Functional Theory; 2.4 Bandstructure Calculations; 2.4.1 LAPW; 2.4.2 WIEN2k; 2.4.3 Dynamic Mean Field Theory; 2.5 Quantum Oscillation; 2.5.1 Semi-classical Electron in a Magnetic Field
2.5.2 Quantum Mechanical Description2.5.3 De Haas-Van Alphen Effect; 2.5.4 Damping Factors; 2.6 Drude Model
Electronic Transport; 2.7 Superconductivity; 2.7.1 London Penetration Depth; 2.7.2 Ginzburg-Landau Theory; 2.7.3 BCS Theory; 2.8 Phase Transition; 2.8.1 Quantum Phase Transition; References; 3 Experimental Setup; 3.1 Low Temperature; 3.1.1 4He-System; 3.1.2 3He-System; 3.2 Magnetic Field
Gauss to MegaGauss; 3.2.1 Superconducting Magnet; 3.2.2 Hybrid Magnet; 3.2.3 Pulsed Field Magnet; 3.2.4 Resistive Magnet; 3.3 Hydrostatic Pressure; 3.3.1 Pressure Cell for Zero Field
3.3.2 Pressure Cell for Pulsed Field3.3.3 Determination of Pressure; 3.4 Crystal Growth; 3.4.1 LiFeAs and LiFeP; 3.4.2 BaFe2(As1-xPx)2; 3.5 Measurement of Hc1; 3.5.1 Setup and Characterization; 3.5.2 Signal from Superconductor; 3.5.3 Measurement Procedure; 3.5.4 Demagnetizing Factor; 3.6 Arduino Based Phase-Sensitive Detector; 3.6.1 24bit Analog to Digital Converter; 3.7 Transport Measurement in Pulsed Magnetic Field; 3.8 Torque Measurements; 3.8.1 Torque Interaction; 3.9 Germanium-Gold-Thermometer; 3.10 Rotator for High Magnetic Field; 3.10.1 Silver-Gold Hall Sensor
3.11 Energy-Dispersive X-Ray SpectroscopyReferences; 4 BaFe2(As1-xPx)2
A Quantum Critical Superconductor; 4.1 Introduction; 4.1.1 Crystal Structure; 4.1.2 Bandstructure of BaFe2(As1-xPx)2; 4.1.3 Quantum Critical Point; 4.2 Quasi-particle Mass Enhancement; 4.2.1 On the Edge of Superconductivity; 4.2.2 Electron Pockets Inside the Superconducting Dome; 4.2.3 Evolution of Fermi Surface Topology; 4.2.4 Discussion; 4.3 Anomalous Behaviour of the Critical Fields; 4.3.1 Upper Critical Field Hc2; 4.3.2 Lower Critical Field Hc1; 4.3.3 Conclusion; References
5 LiFeAs and LiFeP
Stoichiometric Superconductors
1 Introduction; 1.1 Low Temperature Physics; 1.2 Iron Based Superconductors; 1.2.1 Crystal Structure and Band Structure; 1.2.2 Phase Diagram; 1.2.3 Magnetic and Orthorhombic Ground State; 1.2.4 Superconductivity and Gap Structure; 1.2.5 Outline of Thesis; References; 2 Theory; 2.1 From Free to Nearly Free Electrons; 2.1.1 Nearly Free Electron; 2.2 Fermi-Liquid Theory; 2.3 Density Functional Theory; 2.4 Bandstructure Calculations; 2.4.1 LAPW; 2.4.2 WIEN2k; 2.4.3 Dynamic Mean Field Theory; 2.5 Quantum Oscillation; 2.5.1 Semi-classical Electron in a Magnetic Field
2.5.2 Quantum Mechanical Description2.5.3 De Haas-Van Alphen Effect; 2.5.4 Damping Factors; 2.6 Drude Model
Electronic Transport; 2.7 Superconductivity; 2.7.1 London Penetration Depth; 2.7.2 Ginzburg-Landau Theory; 2.7.3 BCS Theory; 2.8 Phase Transition; 2.8.1 Quantum Phase Transition; References; 3 Experimental Setup; 3.1 Low Temperature; 3.1.1 4He-System; 3.1.2 3He-System; 3.2 Magnetic Field
Gauss to MegaGauss; 3.2.1 Superconducting Magnet; 3.2.2 Hybrid Magnet; 3.2.3 Pulsed Field Magnet; 3.2.4 Resistive Magnet; 3.3 Hydrostatic Pressure; 3.3.1 Pressure Cell for Zero Field
3.3.2 Pressure Cell for Pulsed Field3.3.3 Determination of Pressure; 3.4 Crystal Growth; 3.4.1 LiFeAs and LiFeP; 3.4.2 BaFe2(As1-xPx)2; 3.5 Measurement of Hc1; 3.5.1 Setup and Characterization; 3.5.2 Signal from Superconductor; 3.5.3 Measurement Procedure; 3.5.4 Demagnetizing Factor; 3.6 Arduino Based Phase-Sensitive Detector; 3.6.1 24bit Analog to Digital Converter; 3.7 Transport Measurement in Pulsed Magnetic Field; 3.8 Torque Measurements; 3.8.1 Torque Interaction; 3.9 Germanium-Gold-Thermometer; 3.10 Rotator for High Magnetic Field; 3.10.1 Silver-Gold Hall Sensor
3.11 Energy-Dispersive X-Ray SpectroscopyReferences; 4 BaFe2(As1-xPx)2
A Quantum Critical Superconductor; 4.1 Introduction; 4.1.1 Crystal Structure; 4.1.2 Bandstructure of BaFe2(As1-xPx)2; 4.1.3 Quantum Critical Point; 4.2 Quasi-particle Mass Enhancement; 4.2.1 On the Edge of Superconductivity; 4.2.2 Electron Pockets Inside the Superconducting Dome; 4.2.3 Evolution of Fermi Surface Topology; 4.2.4 Discussion; 4.3 Anomalous Behaviour of the Critical Fields; 4.3.1 Upper Critical Field Hc2; 4.3.2 Lower Critical Field Hc1; 4.3.3 Conclusion; References
5 LiFeAs and LiFeP
Stoichiometric Superconductors