From a06be3eb7980e75b0cfdd7ab643f9b7ae5c61243 Mon Sep 17 00:00:00 2001 From: "T. van der Sar" <t.vandersar@tudelft.nl> Date: Tue, 2 Apr 2019 07:08:06 +0000 Subject: [PATCH] Update 13_semiconductors.md - typo fix in current expression --- src/13_semiconductors.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/13_semiconductors.md b/src/13_semiconductors.md index 6f8325ed..584989b7 100644 --- a/src/13_semiconductors.md +++ b/src/13_semiconductors.md @@ -61,7 +61,7 @@ Heat capacity $C_v = \tfrac{d}{dT}\int_{-\infty}^\infty E\times g(E) \times dE\t A completely filled band carries no electric current: $$ -j = 2e \int_{-\pi/a}^{\pi/a} v(k) dk = 2e \int_{-\pi/a}^{\pi/a} (dE/dk)\times dk = 2e [E(-\pi/a) - E(\pi/a)] = 0 +j = 2e \frac{L}{2\pi} \int_{-\pi/a}^{\pi/a} v(k) dk = 2e \frac{L}{2\pi \hbar} \int_{-\pi/a}^{\pi/a} (dE/dk)\times dk = 2e [E(-\pi/a) - E(\pi/a)] = 0 $$ ## From electrons to holes -- GitLab