Understanding tight binding model

  • Thread starter mkbh_10
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  • #1
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Explain to me the Fig 10.6 given on page 184 in Ashcroft and Mermin.
How is line along gamma k not doubly degenerate and line along gamma L doubly degenerate ?
 

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  • #2
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Ashcroft is a bit long on text and short on pictures. What the diagram means is that it is actually showing the Energy values for a d orbital which should give 5 lines. Notice that in the first 2 diagrams there are only 3 and 4 each because of degeneracy. In other words, the solutions overlap
 

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