By H.-S. Philip Wong, Deji Akinwande
Explaining the homes and function of functional nanotube units and comparable functions, this can be the 1st introductory textbook at the topic. all of the primary recommendations are brought, in order that readers with out a complicated medical heritage can stick with the entire significant rules and effects. extra issues coated contain nanotube transistors and interconnects, and the elemental physics of graphene. challenge units on the finish of each bankruptcy let readers to check their wisdom of the fabric lined and achieve a better figuring out of the analytical ability units constructed within the textual content. this is often an amazing textbook for senior undergraduate and graduate scholars taking classes in semiconductor equipment physics and nanoelectronics. it's also an ideal self-study consultant for pro machine engineers and researchers.
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Additional resources for Carbon Nanotube and Graphene Device Physics
Penney, Quantum mechanics of electrons in crystal lattices. Proc. R. Soc. (London) A, 130 (1931) 499–513. 5 Electron in a periodic solid 27 U Fig. 4 Cδ –a Cδ 0 x Cδ ≈ –L/2 Cδ ≈ Cδ a L/2 Kronig–Penney periodic potential in a solid of length L. C is the strength of the delta function. Inside the solid, the electron wavefunction must satisfy Schrödinger’s equation with a periodic potential U (x) = U (x + a), and the length of the solid is an integral multiple of the unit cell. Substituting Eq. 14) into Eq.
46 Fig. 6. (c) Construct a set of primitive reciprocal lattice vectors for that lattice. (d) Draw the reciprocal lattice. (e) Sketch the ﬁrst Brillouin zone. 7. Bravais and reciprocal lattices. (a) Construct the reciprocal lattice for the ﬁve 2D Bravais lattices. (b) Construct the Brillouin zone for all ﬁve reciprocal lattices. (c) Which of the Bravais lattices yield hexagonal Brillouin zones? 3 Graphene Dream your dreams and may they come true. 1 Introduction The objective of this chapter is to describe the physical and electronic structure of graphene.
6, beyond the discussion of allowed bands separated by bandgaps. → Brillouin Zone: Eq. 25) does not have a unique solution. For every allowed energy that yields an LHS value within ±1 there will be correspondingly an inﬁnite set of wavevectors k. For example, let us say a speciﬁc energy value leads to an LHS of +1. As a result, the wavevector calculated from cos ka = +1 yields inﬁnite acceptable k-values due to the repeating nature of the trigonometric functions. It is often convenient to obtain a ﬁnite and unique (non-repeating) set of allowed E−k pairs.