I was doing some calculations earlier and tried the ratio between a metal's fermi temperature ##T_F## and debye temperature ##\theta_D##:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{T_F}{\theta_D} = (6 \pi^2)^{\frac{1}{3}} \left( \frac{\lambda}{a} \right)[/tex]

where ##\lambda = \frac{\hbar}{2 m_e c}## and lattice spacing is ##a##.

I tried approximating fermi momentum ##p_F \approx m_e c## and we get ##\lambda \approx \frac{1}{2k_F}##. Does this mean anything?

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# What does this length represent?

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