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Consider the square unit cell of identical atoms shown below. The equilibrium separation of atoms is a. In the tight-binding model of this system find the Hamiltonian of an electron ) assuming the hopping parameter in x and y directions is t. ID assuming the hopping parameter in x (y) direction is t. (ty). Find the general expression, and then calculate it for t = t = 2ty .

Consider the square unit cell of identical atoms shown below. The equilibrium separation of atoms is a. In the tight-binding model of this system find the Hamiltonian of an electron ) assuming the hopping parameter in x and y directions is t. ID assuming the hopping parameter in x (y) direction is t. (ty). Find the general expression, and then calculate it for t = t = 2ty .

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Consider the square unit cell of identical atoms shown below. The equilibrium separation of atoms is a. In the tight-binding model of this system find the Hamiltonian of an electron ) assuming the hopping parameter in x and y directions is t. ID assuming the hopping parameter in x (y) direction is t (ty). Find the general expression, and then calculate it for t =t = 2ty .
Transcribed Image Text:Consider the square unit cell of identical atoms shown below. The equilibrium separation of atoms is a. In the tight-binding model of this system find the Hamiltonian of an electron ) assuming the hopping parameter in x and y directions is t. ID assuming the hopping parameter in x (y) direction is t (ty). Find the general expression, and then calculate it for t =t = 2ty .
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