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TFG-Tomas-Prats-Pere.pdf (645.82 KB)

Document type

Bachelor thesis

Publication date

2025-06

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cc-by-nc-nd (c) Tomas, 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/223307

Chern number in the Kitaev honeycomb lattice model

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Abstract

We 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 number

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Sofyan Iblisdir

Subject

Matèria condensada, Fases topològiques, Treballs de fi de grau

Subject (English)

Condensed matter, Topological phases, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

TOMAS PRATS, Pere. Chern number in the Kitaev honeycomb lattice model. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/223307

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