 Physics Help Forum Energy of band of d-dimensional semiconductor when voltage V is applied across
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 Atomic and Solid State Physics Atomic and Solid State Physics Help Forum Apr 29th 2019, 11:21 AM #1 Junior Member   Join Date: Apr 2019 Posts: 1 Energy of band of d-dimensional semiconductor when voltage V is applied across Let's say we have a one-dimensional semiconductor and I apply voltage V across it, I want to calculate the energy of a parabolic band, when a source and drain voltage is applied across it. I expect it to be $U = \Sigma_k \frac{\hbar^2 k^2}{2 m^*}f(k)$ where f(k) is the fermi function. When no voltage is applied $U_0 = \Sigma_k \frac{\hbar^2 k^2}{2 m^*}f_0(k)$ (I am just confused what the fermi-level should be in the case when voltage is applied and I want to do a full integral including temperature dependence) My question basically is, what is the expression for $f(k)$ and $f_0(k)$. Would it be different in the ballistic and diffusive regime? And how do I extend this for d-dimensional semiconductor?   Apr 30th 2019, 12:22 PM #2 Senior Member   Join Date: Apr 2015 Location: Somerset, England Posts: 1,035 The Konig Penney equation is the appropriate wave model have a play here https://lampx.tugraz.at/~hadley/ss1/...onigPenney.php topsquark likes this.  Tags applied, band, ddimensional, energy, energy band, quantum transport, semiconductor, voltage Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post KLaso Electricity and Magnetism 1 Feb 11th 2015 09:14 AM arze Electricity and Magnetism 16 Sep 6th 2010 07:12 AM jonbrutal Kinematics and Dynamics 0 Mar 12th 2010 11:03 AM Xenophilius Atomic and Solid State Physics 2 Jan 8th 2010 11:01 PM Fairydust07 Electricity and Magnetism 0 Apr 22nd 2009 07:20 AM