6b.1. Consider a square sheet with length L, thickness D, and resistivity p and its surface resistance are given by Rsurf pL A Suppose that the minimum collision time D pL Р (LD) D and p= Tmin where vp = Fermi velocity VF Show that for a monoatomic sheet with single atom thickness has a maximum surface resistance of: ħ e² m* ne²T Rsurf Hint: Use n≈ for sheet with single atom thickness and use the momentum using the De-Broglie relation m*v = ħk such that the de-Broglie wavelength is approximately the sheet thickness D. · ~ 4.11 ΚΩ ħ m²vp == / D

6b.1. Consider a square sheet with length L, thickness D, and resistivity p and its surface resistance are given by Rsurf pL A Suppose that the minimum collision time D pL Р (LD) D and p= Tmin where vp = Fermi velocity VF Show that for a monoatomic sheet with single atom thickness has a maximum surface resistance of: ħ e² m* ne²T Rsurf Hint: Use n≈ for sheet with single atom thickness and use the momentum using the De-Broglie relation m*v = ħk such that the de-Broglie wavelength is approximately the sheet thickness D. · ~ 4.11 ΚΩ ħ m²vp == / D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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