Sommerfeld expansion is an important method in solid-state physics for discussing the properties of free electron gases.Two-dimensional electron gases,a special case of metallic free electron gases,have recently attracted widespread attention from researchers.Fermi level of two-dimensional electron gases was calculated using both rigorous numerical solutions and Sommerfeld expansion approximations,and a comparison between the two methods was made.The analysis found that if the temperature of the gas is low,the error caused by the Sommerfeld expansion approximation is small,thus elucidating the effectiveness and usage conditions of the Sommerfeld expansion method.This work will be helpful for students to deepen their understanding of relevant knowledge in solid-state physics.
关键词
索末菲展开/二维电子气体/费米能级
Key words
Sommerfeld expansion/two-dimensional electron gas/Fermi level
维普
万方数据