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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Tomeu Fiol Nuñez

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We study fractional charge in the one-dimensional and the two-dimensional cases.
Firstly, we analyse the concept of kink and then we see how fermions in a kink background can carry fractional charge. Secondly, we study the so-called vortices and, as before, we study the coupling with fermions and different models to obtain the fractional charge. At the end of each section we discuss experimental evidence of this phenomenon: polyacetylene chain and graphene