Elementary excitations and avalanches in the Coulomb ... - PhysioNet

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$J. Phys. A: Math. Gen., Vol. 9. No. 9,1976. Printed in Great Britain ...$

One-particle energy:ɛbare 1-DOSg 0 (ε)ɛ i = ∑ j≠in j − Kr ij+ ϕ i1-DOS:g(ɛ) = 1 VN∑[〈δ(ɛ − ɛ i )〉] avi=1µWijrg(ɛ)g 0 (µ) ∝ 1 WPollak, Srinivasan (1970): Coulomb interaction depletes the 1-DOS nearµ
One-particle energy:ɛɛ i = ∑ j≠in j − Kr ij+ ϕ i1-DOS:g(ɛ) = 1 VN∑[〈δ(ɛ − ɛ i )〉] avi=1µ∆Wijrg 0 (µ) ∝ 1 Wg(ɛ)r ijPollak, Srinivasan (1970): Coulomb interaction depletes the 1-DOS nearµEfros-Shklovskii (1975) stability argument: Coulomb gap∆E i→j = ɛ j − ɛ i − 1 > 0 =⇒rr ij > |ɛ j − ɛ i | −1ijg(ɛ)≤ c d |ɛ − µ| d−1for|ɛ − µ| ≪ ∆ ∼ W −1/(d−1)
Page 1 and 2: Elementary excitations andavalanche
Page 3: Classical electron glass model (Efr
Page 7 and 8: Dipole excitations:ω ij = ɛ j −
Page 9: Charge avalanches1. Find a local mi
Page 12 and 13: Infinite-range spin glass3D Coulomb
Page 14 and 15: Avalanches and nonlinear screeningB
Page 16 and 17: Avalanche size distribution for dip
Page 18 and 19: # of unstable long hops created (3D
Page 20: Infinite-range spin glass3D Coulomb
Page 23 and 24: Equilibrium finite temperature 1-DO
Page 25 and 26: Zero temperature 1-DOSL = 100L = 10
Page 27: conclusionsyessaturatedquadratic ga

Elementary excitations and avalanches in the Coulomb ... - PhysioNet

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