Hi, I'm an undergrad materials engineering student. I am thinking of studying all the way to a PhD as I'm interested on working in research. Right now I work with Semiconductors and I like the field a lot. However, considering what I'm studying, I want to know if it's a good Idea to look for a...
Homework Statement
I need some help on how to solve this problem.
I am attaching the problem:
[![enter image description here][1]][1]
[![enter image description here][2]][2]
For item (a) in the problem, I think I need to use eq. (13.21)
in the following pic:
[![enter image description...
Homework Statement
My question is more about understanding the task itself, not about calculation.
I am supposed to use the poisson equation, to derive the potential inside a semiconductor for a barrier with potential height ##\phi_B## and a donator doping with ##N1 > N2##. Then I should use...
Hey, I am currently busy with studying solid state physics and looking at diffraction theory. Following link explains Frauenhofer diffraction pretty good: http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/mulslid.html#c3
Let's assume a N=6 multiple slits. Its diffraction pattern depends on slit...
Hello everyone. Currently, I am an undergraduate sophomore planning to study physics and in the process of transferring from community college to University. I am seeking advice on deciding between pursuing a mechanical engineering degree (BS) or a PhD in physics. My journey so far has taken...
I know that Bragg reflection in solid states at the edge of e.g. the first Brillouin Zone causes standing waves at these edges, which creates a gap between the energy bands.
In this picture below you can see the probability density of a symmetric (+) and anti-symmetric (-) standing wave. The...
Phonons on their own lead to the common heat equation. One sees that for example in insulators or non doped semiconductors.
However in metals (or conductors), the electrons are the ones that are mostly responsible for the heat transfer, which extremely surprisingly to me, is also of the form of...
I am trying to use the k.p method to study quantum well band structure. One example Hamiltonian look like this [J. Appl. Phys., 116, 033709(2014)]
where
##{{\hat k}_ \pm } = {{\hat k}_x} \pm i{{\hat k}_y}##
and the matrix elements are function of ##{{\hat k}_i}##
and if quantum well is grown...
Homework Statement
Homework EquationsThe Attempt at a Solution
(a) Total energy is
$$E=\frac{-e^2}{4\pi\epsilon_{0}R}-\frac{B}{R^{5/6}}$$
Taking derivative of E with respect to R and equating it to zero when R=R0 yields,
i.e,
$$\frac{dE}{dR}{\bigg|}_{R=R_0}=0$$
when R=R0
yields...
I'm studying plasmons from "Haken-Quantum Field Theory of Solids", and i need some help in the calculation of the equation of motion of eletrons' density
\begin{equation}
\hat{\rho}_{\overrightarrow{q}} = \frac{1}{\sqrt{V}} \sum_{\overrightarrow{k}}...
I'm reading Mermin's Solid State Physics, chapter 12: The semiclasssical model of electron dynamics. I know the current density from the ##n## band is
$$ \mathbf{j}=(-e)\int_{\text{occupied}}f(\epsilon_{\text{n}}(\mathbf{k}))\frac{d\mathbf{k}}{4\pi^3}\mathbf{v}_{\text{n}}(\mathbf{k}). $$
In...
In Grosso's Solid State Physics, chapter 1, page 2, The author said that:
Therefore, I plug (4) into (1), and I expect that I can get the following relationship, which proves that ##H\left|W_{k}(x)\right\rangle## belongs to the subspace ##\mathbf{S}_{k}## of plane waves of wavenumbers...
(Oh my god, why can't my post show normally? Some sentences just disappear, but I can still see them while editing. It's very weird. Can someone help me? I've reported.)I know only partially filled bands result in current density, and I think there must be not only 2 partially filled bands, but...
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