第17讲金属自由&cc

第17讲金属自由&cc

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Unformatted text preview: 110 1900 (P. Drude) (Wiedemann − Franz) (1) (2) dt τ dt τ (3) t p ( t ) / m p dt p ( t+dt ) τ dt τ dt − 1 / ( ) t f ( ) ( ) 2 dt o dt t + f ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 1 t dt dt t t dt o dt t dt t t dt o dt τ τ   + = − + + − + +   p p f = p p f (17.1) ( ) ( ) ( ) ( ) ( ) ( ) 2 dt o dt t t dt t dt t + + − = − + f p p p τ (17.2) dt dt → ( ) ( ) ( ) t t dt t d f p p + − = τ (17.3) j = σ E (17.4) σ n υ j υ dt υ dt n υ dtA A − e dt A − ne υ dtA j = − ne υ (17.5) E ( ) = dt t d p ( ) ( ) t t f p = τ υ = − e E τ / m τ E j m ne τ 2 = (17.6) 111 m ne τ σ 2 = (17.7) 1879 (E. H. Hall) B ( z ) j x ( y ) ( ) x x j E H = ρ (17.8) E x j x B E x E y j x 14.1 Hall B j E R x y H = (17.9) ( ) ( )       × + − − = B E p p p m e t dt t d τ (17.10) x x c y y y c x p eE p p eE p ω τ ω τ  = − − −     = − + −   (17.11) m eB c = ω (17.12) − ne τ / m    + − = + = y x c y x y c x j j E j j E τ ω σ τ ω σ (17.13) σ j y = 0 E y x x c y Bj ne j E       − =         − = 1 σ τ ω (17.14) ne R H 1 − = (17.15) x y 112 ( ) ( ) t kx i y e E E ω ω − = (17.16) ( ) ( ) ( ) ω τ ω ω y y y eE p dt dp − − = (17.17) ( ) ( ) t kx i y e p p ω ω − = (17.18) ( ) ( ) ( ) ω τ ω ω ω y y y eE p p i − − = − (17.19) ( ) ( ) ( ) ( ) ( ) ( ) ω ω σ ωτ ω τ ω ω y y y y E i E m ne m p ne j = − = − = 1 / 2 (17.20) ( ) ( ) ' ' ' 1 1 / 2 σ σ ωτ σ ωτ τ ω σ i i i m ne + = − = − = (17.21) 2 2 1 ' τ ω σ σ + = , 2 2 1 ' ' τ ω ωτ σ σ + = (17.22) ' σ in-phase '' σ 2 π out-of-phase T q ∇ − = κ j (17.23) l C υ κ 3 1 = (17.24) — T e k ne T k nk ne m v c B B B v 2 2 2 2 3 2 3 3 1 2 2 3 1 2 3       = = = × σ κ (17.25) 8 2 10 11 . 1 2 3 − × =...
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This note was uploaded on 05/05/2010 for the course PHYSICS 111 taught by Professor Zhengxiang during the Spring '08 term at Peking Uni..

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第17讲金属自由&cc

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