By H.-S. Philip Wong, Deji Akinwande
Explaining the houses and function of useful nanotube units and comparable purposes, this can be the 1st introductory textbook at the topic. the entire basic techniques are brought, in order that readers with no a sophisticated clinical heritage can persist with the entire significant rules and effects. extra issues lined comprise nanotube transistors and interconnects, and the fundamental physics of graphene. challenge units on the finish of each bankruptcy enable readers to check their wisdom of the cloth coated and achieve a better realizing of the analytical ability units built within the textual content. this is often an incredible 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 gadget engineers and researchers.
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Additional resources for Carbon Nanotube and Graphene Device Physics
2 2 The reciprocal lattice primitive vectors can be computed from Eq. 33): b1 = 2π 2π √ , 3a a , b2 = 2π 2π √ ,− a 3a . 13b. The Wigner–Seitz cell and the ﬁrst Brillouin zone are hexagons, displaying the hexagonal symmetry of the lattices. It is clearly visible from the ﬁgure that the reciprocal lattice and ﬁrst Brillouin zone are rotated 90◦ with respect to the direct lattice. 18 Besides electron excitations, there exist collective excitations such as lattice vibrations called phonons, electron density vibrations called plasmons, and spin vibrations called magnons.
We previously discussed the ﬁrst Brillouin zone in the context of the Kronig–Penney model. An equivalent but more basic deﬁnition is available based on the attributes of the reciprocal lattice: the Wigner– Seitz primitive cell of the reciprocal lattice is the ﬁrst Brillouin zone. The standard convention is that the ﬁrst Brillouin zone is the terminology exclusively used in the context of the reciprocal lattice, while the Wigner–Seitz terminology is used in the context of the direct lattice. Higher Brillouin zones also exist; however, those zones duplicate the information already present in the ﬁrst Brillouin zone.
25) there will be an inﬁnite number of allowed energies for that given k-value. However, there are a ﬁnite number of electrons in any solid, and we will discover throughout this book (see Chapters 3 and 4 for example) that our focus will be on the properties of the highest energy electrons which are largely responsible for the device physics. How the highest energies of relevance are determined will be elucidated with the idea of the Fermi energy discussed in Chapter 3. → Nearly-free Electron: In the limit that P → 0, then k → λ (see Eq.