Latorre, José IgnacioCervera Lierta, Alba2014-11-182014-11-182014-01https://hdl.handle.net/2445/59747Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2014, Tutor: José Ignacio LatorreWe present the results obtained by using the iTEBD algorithm in the Ising and Heisenberg models as well as in the AKLT model. By modifying the external eld parameter, in the Ising case, and the anisotropy parameter, in the Heisenberg case, we can observe quantum phase transitions in their ground states. In the AKLT model we study its generalization to nd its phase transition. To study these transitions, we analyse the entanglement of the system near the critical point in order to nd scaling laws.4 p.application/pdfengcc-by-nc-nd (c) Cervera Lierta, 2014http://creativecommons.org/licenses/by-nc-nd/3.0/es/Mecànica estadísticaAlgorismesTreballs de fi de grauStatistical mechanicsAlgorithmsBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess