Iblisdir, SofyanTomas Prats, Pere2025-09-192025-09-192025-06https://hdl.handle.net/2445/223307Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Sofyan IblisdirWe study a topological invariant in the 2D Kitaev honeycomb model: the Chern number. This model consists of a spin 1 2 hexagonal lattice that can be divided into two triangular sublattices. By applying an external perturbation we can induce a non-trivial phase for some coupling configurations that yields a non-zero Chern number. First we set a theoretical basis in order to understand the results. Then we study how different parameters affect the Chern number. More exactly; finite-size effects, an external perturbation, different coupling configurations and strengths.We will see how each of these variations change the Chern number6 p.application/pdfengcc-by-nc-nd (c) Tomas, 2025http://creativecommons.org/licenses/by-nc-nd/3.0/es/Matèria condensadaFases topològiquesTreballs de fi de grauCondensed matterTopological phasesBachelor's thesesChern number in the Kitaev honeycomb lattice modelinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess