Angle-dependent Hall resistivity and longitudinal resistivity of type-II superconductor

• Published in: Solid state communications Vol. 394; p. 115697
• Main Authors: Nguyen, Luu Huu, Vi, Tran Ky, Cuong, Nguyen Chinh, Tinh, Bui Duc
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 15.12.2024
• Subjects: Angle dependence of hall resistivity and longitudinal resistivity; Time-dependent Ginzburg–Landau theory in 3D model; Type-II superconductor; Angle dependence of hall resistivity and longitudinal resistivity; Time-dependent Ginzburg–Landau theory in 3D model; Type-II superconductor
• ISSN: 0038-1098
• DOI: 10.1016/j.ssc.2024.115697

We use time-dependent Ginzburg–Landau theory in a three-dimensional model, including thermal noise, to analyze angle-dependent Hall resistivity and longitudinal resistivity of type-II superconductor. The Hall resistivity and longitudinal resistivity are calculated as functions of temperature, magnetic field and the angle θ between the magnetic field and the ab-plane in the vortex-liquid regime. Our theoretical calculations within a self-consistent fluctuation approximation for MgB2 and HgBa2CaCu2O6 materials are in good agreements with the experimental findings for both below and above the critical temperature Tc. We observe that when the field angle decreases, the transition temperature increases and the magnitude of longitudinal resistivity decreases, which is qualitatively comparable to decrease of the perpendicular field component. However, when the magnetic field direction approaches the layer surface, it shows a clear different effect from that of a perpendicular field with the same normal component. •The TDGL model is used to study angle-dependent resistivity of type-II superconductor.•The theoretical calculation is compared with the experimental data of MgB2 and HgBa2CaCu2O6.•When the field angle decreases, the Tc increases and the magnitude of longitudinal resistivity decreases.•When the magnetic field direction approaches the layer surface, it shows a clear different effect.