Superconductivity in a topological weyl semimetal
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2024
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Abstract
In this work, we determine the possible superconducting states produced in a type-I Weyl semimetal under a generic interaction, according to the topological nature of the Cooper pair. Once identified, we study the competition and coexistence between those states. At finite temperature, we find a set of conditions, in terms of the quantum numbers and the angular distribution of the pairing gaps, that needs to be fulfilled in order to produce coexistence of the phases. We also characterize the specific heat, finding the typical lambda transition at each phase transition, in concordance with the literature. At zero temperature, we find generic self-consistent equations for the pairing gaps, written exclusively in terms of the value of its quantum numbers and its angular distribution. Using the examples that our model predicted, we show that in general the phases with different topology coexist in a certain zone of the phase space, in the vicinity of the curve along which the effective couplings for each channels are equal. Finally, in what refers to the topological repulsion mechanism proposed in previous work on the topic, we conclude that a feature needed in order to produce such phenomena is the asymmetry in the position of the Weyl points, codified in the different values of chemical potential at each node.
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Tesis (Masters’s degree in Physics)--Pontificia Universidad Católica de Chile, 2024