Midterm 2 Solutions: Difference between revisions

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Line 7: Line 7:
  <math>Z_{FM} =4</math>
  <math>Z_{FM} =4</math>
  <math>Z_{AFM} =4</math>
  <math>Z_{AFM} =4</math>
b)   
   
   
Problem 2.
Problem 2.
Line 13: Line 15:
[[Image:MOSFET pic.png]]
[[Image:MOSFET pic.png]]


b) Since Coulomb interactions are long range by <math>e^2/r</math> high densities cause the formation of solids such as crystals.
b) Since Coulomb interactions are long range by <math>e^2/r</math> high densities cause the formation of solids such as crystals.
 
f) where <math>T \rightarrow \infty</math>

Revision as of 21:51, 6 April 2011

Problem 1.

a) Lattice.png

Image of square lattice with ferromagnetic  coupling nearest neighbor spins. 
Anti-ferromagnetic  coupling only second nearest neighbors. 

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z_{AFM} =4}

b)

Problem 2.

a) MOSFET pic.png

b) Since Coulomb interactions are long range by high densities cause the formation of solids such as crystals.

f) where