From 1698b5946b1ce87fd0f164b620989d55f63edbf8 Mon Sep 17 00:00:00 2001 From: Anton Akhmerov <anton.akhmerov@gmail.com> Date: Sun, 30 Jun 2019 12:23:36 +0000 Subject: [PATCH] reword the algorithm to make it clearer --- src/13_semiconductors.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/src/13_semiconductors.md b/src/13_semiconductors.md index 37bac515..c17563c7 100644 --- a/src/13_semiconductors.md +++ b/src/13_semiconductors.md @@ -168,10 +168,11 @@ $$ g(E_h) = (2m_h)^{3/2}\sqrt{E_h}/2\pi^2\hbar^3$$ **The key algorithm of describing the state of a semiconductor:** -1. Write down the density of states, assuming a certain position of the Fermi level -2. Calculate the total amount of electrons and holes, equate the difference to the total amount of electrons $-$ holes available. -3. Use physics intuition to simplify the equations (this is important!) -4. Find $E_F$ and concentrations of electrons and holes +1. Compute the density of states of all types of particles. +2. Calculate the total amount of electrons and holes, assuming a certain value of $E_F$ +3. Write down the charge balance condition: the difference between electrons and holes should equal to the total charge of the semiconductor. +4. Apply approximations to simplify the equations (this is important!). +5. Find $E_F$ and concentrations of electrons and holes Applying the algorithm: -- GitLab