Recent content by tejas777

Silicon has a diamond lattice structure, not cubic. The bandstructure of Silicon is anisotropic. Therefore, the effective mass is a tensor can be found from the bandstructure as seen in Eq. (3) in: http://141.213.232.243/bitstream/2027.42/69866/2/APPLAB-67-20-2966-1.pdf The above reference...

Look at section 6.2 (on page 19/23) in: http://nanohub.org/resources/7436/download/Notes_on_low_field_transport_in_graphene.pdf Now, the link contains a specific example. You can probably use this type of approach to derive a more general expression, one involving the ##s## and ##s'##. I may...

You will find Section II.C of this review and the references therein pretty helpful: http://rmp.aps.org/abstract/RMP/v84/i3/p1067_1

These new electrons (or holes) can come from many sources: electrostatic tuning, charged impurity atoms, adsorbates etc. This condition of excess carriers, which corresponds, as you mentioned, to the Fermi level being away from the Dirac point, is known called doping. The term is somewhat...

The last one is incorrect (but, I think you made a typo). It should be ##(1,1)\leftrightarrow(2,1)## Yes, this is right. ##(2,2)\leftrightarrow(2,1)...

No, in the big polygon there are 14 nn spins. I think you missed one. Note that the spin at (1,4) has 3 links. Are you sure you didn't count only 2 links for that one?

The number of (+)-(-) links across the wall

|\Gamma| is the perimeter of the polygon. In the example in Figure 6.9, |\Gamma| for the two small polygons is 4, and that for the large polygon is 14. This is measured in units of the lattice constant; or maybe it is more appropriate to say the lattice constant of the "dual" lattice (in this...

That was just a hypothetical example to demonstrate Equation (6.54). When you want to compute an ensemble average, you take a weighted average of all possible configurations. Now, these weights (or probabilities) are a function of temperature. Another way of stating my assumption is that I...

A polygon is nothing but a closed loop. The line forming this loop is what they call the “wall.” In Figure 6.9 there are three polygons, one encircling a single negative site, one encircling a single positive site, and one big one encircling the collection of negative sites. Now, consider the...

Ignore the part in the parenthesis; that's not true.

I did not understand the second line of that question. Could you please revise it? Also, could you cite the paper you were referring? This is a very crude approach: you can try and determine the mean free path due to the grain boundary scattering i.e \lambda_{grain}. Then you can find the...

The reason I mentioned “Fermi liquid” was because when you are writing down the many particle wavefunction as a product of the wavefunctions of the single particle states you are, in fact, writing down the product of the wavefunctions of the “quasiparticles.” Pauli’s exclusion obviously also...

The Fermi wavelength is nothing but the de Broglie wavelength of electrons near the Fermi energy. Most of the properties of solids, involving electronic transport, are described by the dynamics of the electrons near the Fermi energy. While describing the transport of these particular electrons...

I can imagine how that could be possible. Can you please provide a list of active physicists that fall in this category? I am curious to learn more about such cases.