Overview of spectroscopies I (MC) - TDDFT.org
Overview of spectroscopies I (MC) - TDDFT.org
Overview of spectroscopies I (MC) - TDDFT.org
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Low temperature behavior <strong>of</strong> E 0 (T): Debye ModelThe average energy <strong>of</strong> the phonons is:.Since < u 2 > (M ) -1/2 we find for the gap renormalization at T0:0Cep1[ n( / kT) ] Nd( )d2This equation differs from that above by a factor <strong>of</strong> -2 in the integrand. However:C e-p must vanish for T 0 ( 0 phonons are a uniform translation) and C e-pmust be proportional to 2 . Hence in the low T limit behaves like T 435
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