Phys560Notes-8 - Density of States: g Definition : g d =...

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Unformatted text preview: Density of States: g Definition : g d = number of states between and d (per unit volume) For a single band k , 3 3 3 , 1 2 1 1 8 4 d d d s g d d k dS dk V k dS = area element on constant energy surface k dk = change in k , along k k (perpendicular to dS ), corresponding to d g d dk d dk dk v dk k k k k k k k k g v = group velocity With 1 dk d k k , 3 1 4 k dS g k k For multiple bands: 3 1 4 n n n n k n dS g g k k Another formula for single band: 3 3 , 1 1 4 BZ s g d k V k k k dk dS Pf: 1 2 2 1 , 1 1 1 ks s d V V k k k Q...
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This note was uploaded on 03/21/2012 for the course PHYS 560 taught by Professor Flynn during the Spring '08 term at University of Illinois, Urbana Champaign.

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Phys560Notes-8 - Density of States: g Definition : g d =...

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