Solid-state Physics: Fermi surface and necks in an FCC structure

LuccaP4
Messages
24
Reaction score
9
Homework Statement
Given an FCC metal with lattice constant a and gap energy Eg in the L point of the Brillouin zone, get the maximum radius of the neck N(111) such that 2nd band remains empty.
Relevant Equations
NFE model, etc.
Does anyone have some bibliography about necks in FCC structure Fermi surface? I have to solve this problem and I have no idea how to start. Thanks.
 
Physics news on Phys.org
Here are some helpful bibliographic resources on necks in the Fermi surface of FCC structures: 1. “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz, Physical Review B 38 (1988), pp. 993-1002.2. “Fermi Surface Topology of BCC and FCC Metals” by M. Weinert and A. Zunger, Physical Review Letters 65 (1990), pp. 1811-1814.3. “The Topology of Fermi Surfaces of Alloys—An Overview” by M. Weinert and A. Zunger, International Journal of Modern Physics B 5 (1991), pp. 1945-1963.4. “The Fermi Surface of a Face-Centered Cubic Metal” by M. Weinert, Physical Review B 47 (1993), pp. 1352-1365.5. “Fermi Surface Topology of FCC Metals” by P. Blaha, K. Schwarz, M. Weinert and A. Zunger, Physical Review B 50 (1994), pp. 7765-7776.6. “The Fermi Surface of a Body-Centered Cubic Metal” by M. Weinert, Physical Review B 52 (1995), pp. 9390-9401.
 

Thread 'Please tell me where I am going wrong in this integral'

##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
View full post »

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Number of quantum accessible states of a particle given T, N?'

It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and ##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise. How to compute the number of accessible quantum states of one particle? This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system. Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have...
View full post »

Similar threads

Importance of Fermi Surface in Cooper Pair Formation
Replies
1
Views
2K
I Creep mechanism (thermal and irradiation induced/enhanced) and embrittlement in fcc and bcc
Replies
5
Views
2K
I About global inertial frame in GR - revisited
2
Replies
57
Views
4K
A What is the Wigner–Seitz cell of diamond?
Replies
4
Views
2K
I Chemical potential and Fermi level
Replies
1
Views
2K
I What is the Meaning of the Fermi Energy?
Replies
1
Views
2K
What Causes Semiconductors to Lack Fermi Surfaces?
Replies
7
Views
4K
I Fe Lattice: Band Structure & Fermi Surface Location
Replies
1
Views
2K
A How to Express the Schwarzschild Metric in Fermi Normal Coordinates?
Replies
13
Views
2K
FCC Compliance for small business
Replies
18
Views
2K

Hot Threads

Recent Insights

Back
Top