Revisiting the quantum hall effect in the haldane model

• Ano de defesa: 2017
• Autor(a) principal: Armas, Luis Manuel Canonico
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Palavras-chave em Português: Haldane model; Tight binding; Kernel polynomial method; Chern insulators; Efeito hall; Modelo de haldane; Isolante topológico; Método de ligação forte
• Link de acesso: https://app.uff.br/riuff/handle/1/6284

The Haldane model in a honeycomb lattice is one of the simplest examples of systems that present a quantized Hall conductivity in the absence of an external magnetic field - also known as quantum anomalous Hall effect. By means of analytical and numerical calculations, we show that this model presents different energy spectrum and Hall conductivity in the presence of positive and negative external magnetic fields of same intensity. This difference was ignored by previous calculations and indicates that the low-energy approximation is not always sufficient to capture important features of the electronic properties described by tight-binding Hamiltonians