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Formulations to determine the electric field and the electrostatic potentials in a thermoelectric couple through solving the Poisson’s equation are introduced in this work. Analytical approximations of the auxiliary energies introduced in the author’s earlier work in the relaxation time approximation of the Boltzmann transport equation are developed based on the coupled equations of heat and electric current. These auxiliary energies are used in the Poisson’s equation at each temperature node along the thermoelectric leg to obtain a set of algebraic equations with the electric field and the electrostatic potentials as unknowns. The algebraic equations are then solved using the derived algorithm and the boundary conditions determined by the continuity and the carrier concentration equations. [ABSTRACT FROM AUTHOR]

Unconventional superconductivity, where electron pairing does not involve electron-phonon interactions, is often attributed to magnetic correlations in a material. Well known examples include high-Tc cuprates and uranium-based heavy fermion superconductors. Less explored are unconventional superconductors with strong spin-orbit coupling, where interactions between spin-polarised electrons and external magnetic field can result in multiple superconducting phases and field-induced transitions between them, a rare phenomenon in the superconducting state. Here we report a magnetic-field driven phase transition in β-PdBi2, a layered non-magnetic superconductor. Our tunnelling spectroscopy on thin PdBi2 monocrystals incorporated in planar superconductor-insulator-normal metal junctions reveals a marked discontinuity in the superconducting properties with increasing in-plane field, which is consistent with a transition from conventional (s-wave) to nodal pairing. Our theoretical analysis suggests that this phase transition may arise from spin polarisation and spin-momentum locking caused by locally broken inversion symmetry, with p-wave pairing becoming energetically favourable in high fields. Our findings also reconcile earlier predictions of unconventional multigap superconductivity in β-PdBi2 with previous experiments where only a single s-wave gap could be detected. β-PdBi2 superconducting properties have been known about since the 1950s, with various works since then indicating the possibility of multiple superconducting gaps and unconventional superconductivity. However, so far only a single gap s-wave superconductivity was detected. Here, using tunnelling spectroscopy under an applied magnetic field, Powell et al observe a transition from s-wave to nodal pairing. [ABSTRACT FROM AUTHOR]