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

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

Classical electron glass model(Efros, 1976)H = e22κ- Localized charges- Long-range Coulomb interaction- Random site energies∑(n i − K) 1 (n j − K)+ ∑ r ijii≠jN∑n i ∈ {0, 1} , n i = KN , N = L di=1[ϕ i ] av =0n i ϕ i[ϕ 2 i ] av = We 2 /lThis talk:LGaussiane 2ϕ iκl =1l =1K = 1 2lPeriodic geometrywith Ewald sum- lightly doped crystalline semiconductors- amorphous semiconductors- granular/discontinuous metals
Classical electron glass model (Efros, 1976)H = e22κ- Localized charges- Long-range Coulomb interaction- Random site energies∑(n i − K) 1 (n j − K)+ ∑ r ijii≠jN∑n i ∈ {0, 1} , n i = KN , N = L di=1[ϕ i ] av =0n i ϕ i[ϕ 2 i ] av = We 2 /lThis talk:LGaussiane 2ϕ iκl =1l =1K = 1 2lOutline:Periodic geometrywith Ewald sum1. Scale-free charge avalanches2. Shape of the Coulomb gap in three dimensions
Page 1: Elementary excitations andavalanche
Page 5 and 6: One-particle energy:ɛɛ i = ∑ j
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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