Midterm 2 Solutions: Difference between revisions

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a)
a)
[[Image:lattice.png]]
[[Image:lattice.png]]
  Image of square lattice with ferromagnetic J_{i,j} <0 coupling nearest neighbor spins. Anti-ferromagnetic K_{i,j} >0 coupling only second nearest neighbors.  
  Image of square lattice with ferromagnetic <math>J_{i,j} <0</math> coupling nearest neighbor spins.  
Z_{FM} =4
Anti-ferromagnetic <math>K_{i,j} <0</math> coupling only second nearest neighbors.  
 
<math>Z_{FM} =4</math>
Z_{AFM} =4
<math>Z_{AFM} =4</math>
   
   
[[Image:MOSFET pic.png]]
[[Image:MOSFET pic.png]]

Revision as of 21:16, 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. 



MOSFET pic.png