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_(ij) <0 coupling nearest neighbor spins. Anti-ferromagnetic K_(ij) >0 coupling only second nearest neighbors.  
  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.  
Z_FM =4
Z_{FM} =4
Z_AFM =4
 
Z_{AFM} =4
   
   
[[Image:MOSFET pic.png]]
[[Image:MOSFET pic.png]]

Revision as of 21:10, 6 April 2011

Problem 1.

a) 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. 

Z_{FM} =4

Z_{AFM} =4

MOSFET pic.png