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REVISITING THE QUANTUM HALL EFFECT IN THE HALDANE MODEL
Tight binding
Kernel polynomial method
Chern insulators
Efeito hall
Modelo de haldane
Isolante topológico
Método de ligação forte
Abstract
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
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Document type
DissertaçãoSubject(s)
Haldane modelTight binding
Kernel polynomial method
Chern insulators
Efeito hall
Modelo de haldane
Isolante topológico
Método de ligação forte
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