MY-ASSIGNMENTEXPERT™可以为您提供handbook PHYS3118 Solid Physics固体物理课程的代写代考和辅导服务！
这是新南威爾斯大學固体物理课程的代写成功案例。
PHYS3118课程简介
Solid State Physics provides the basis for the most important technological advances of the 20th century. It also provides a wide range of opportunities to “see” the effects of Quantum Physics in action. Specific topics include: Types of solids, crystal structures, reciprocal lattices, lattice vibrations (phonons), x-ray and neutron diffraction for structural analysis, thermal properties of solids, Bloch’s theorem and the nearly free electron model, Band structure, non-conventional crystals (e.g., molecular crystals, quasicrystals), semiconductors, doping, p-n junctions and diodes, light emitting diodes and photovoltaics, excitons and electron-photon interactions, electron-defect and hyperfine interactions, electron-phonon interactions, superconductivity, Josephson effect, SQUIDs, dielectrics, ferroelectrics, magnetism and magnetic materials, spin interactions, phase transitions in solids, magnetic devices, exotic ordered materials (e.g. multiferroics), finite solids and surface effects, Schottky barriers, MOSFETs, fabrication of solid state devices, devices in the nanoscale limit.
Prerequisites
Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from their atomic-scale properties. Thus, solid-state physics forms a theoretical basis of materials science. It also has direct applications, for example in the technology of transistors and semiconductors.
PHYS3118 Solid Physics HELP（EXAM HELP， ONLINE TUTOR）
Find the zero-point energy, that is, $E=\hbar^2 K^2 / 2 m$, at $k=0$, using (1.2.6) in the limit $b \rightarrow 0$ and $U_0 \rightarrow \infty$ and $U_0 b$ finite but small. To do this, use the approximations for $\sin K a \simeq K a$ and $\cos K a \simeq 1-\frac{1}{2}(K a)^2$, assuming $K a$ is very small at $k=0$.
Find the first gap energy at $k a=\pi$ using (1.2.6) in the limit $b \rightarrow 0$ and $U_0 b$ is small. You should write approximations for $\sin K a$ and $\cos K a$ near $K a=\pi$, that is, $K a \simeq \pi+(\Delta K) a$, where $\Delta K$ is small. You should find that you get an equation in terms of $K$ that is factorizable into two terms that can equal zero. The difference between the energies $E=\hbar^2 K^2 / 2 m$ for these two solutions for $K$ is the energy gap.
Do your zero-point energy and gap energy vanish in the limit $U_0 b \rightarrow 0$ ?
Use Mathematica to plot $\operatorname{Re} k$ as a function of $E=\hbar^2 K^2 / 2 m$ using Equation 1.2.6. Assume that you have a set of units such that $\hbar^2 / 2 m=1$, set $a=1$, and choose various values of $U_0 b$ from 0.1 to 3 . This plot is just the KronigPenney reduced zone diagram turned on its side. Plot the first three bands. How do the gaps depend on your value of $U_0 b$ ? Then plot a close-up of the first band and band gap along with the free-electron dispersion, $k=\sqrt{E}$, on the same graph.
Determine the cell function $u_{n k}(x)$ for the lowest band of the Kronig-Penney model in the limit $b \rightarrow 0$, with $a=1,2 m U_0 b / \hbar^2=100$, and $\hbar^2 / 2 m=1$, for $k=\pi / 2 a$. Hint: What is the solution of the wave function in a flat potential?
Determine the cell function $u_{n k}(x)$ for the lowest band of the Kronig-Penney model in the limit $b \rightarrow 0$, with $a=1,2 m U_0 b / \hbar^2=100$, and $\hbar^2 / 2 m=1$, for $k=\pi / 2 a$. Hint: What is the solution of the wave function in a flat potential?
MY-ASSIGNMENTEXPERT™可以为您提供HANDBOOK PHYS3118 SOLID PHYSICS固体物理课程的代写代考和辅导服务！
