Question

A two-dimensional metallic thin film has square shape with dimension L. Assume a cubic lattice with...

A two-dimensional metallic thin film has square shape with dimension L. Assume a cubic lattice with lattice constant a.

a) Derive the density of energy state for this 2D material.

b) Find Fermi energy at low temperature.

Science   Advanced-Physics   
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Answer #1

Consider a particle of mass'm'. Since we know that in this case particle free to move only in one direction say z-direction and confined in two directions say y and x.

Also, we know that a particle of mass 'm' is confined in box (infinite potential well) of length 'a' then allowed energy

a) In 2D the k-space is circle orbit So, number of orbitals per unit area.

b) Fermi Energy

Consider a particle of mass'm'. Since we know that in this case particle free to move only in one direction say z-direction and confined in two directions say y and x.

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