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

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

Numerical determination of the 1-DOSThermalfluctuations|ɛ − µ| TɛFinite temperature equilibrium simulation:Equilibration time ∼ e Lψ /TCurrent limit: in 3DL ≤ 12Finite sizeeffects|ɛ − µ| L −1µ∆ ∼ W − 1 2Zero temperature energy relaxation:- much larger size: L ≤ 300 in 3D- systematic error (local minima are nottrue ground states)g(ɛ)g 0 (µ) ∝ 1 W
Equilibrium finite temperature 1-DOSM. Goethe, M. Palassini (PRL 2009)W= 2L= 10ScalingL ≤ 10g(ɛ,T)=|ɛ| δ˜g(ɛ/T )δ =2.0 ± 0.1 forɛ ≥ 0.2 ∆g L (!,T)10 -210 -3!10 -1 -5 -4 -3 -2 -1 0 1 2 3 4 5T= 0.1260.0350.010g L (!,T) / ! 210 110 2 10 0 10 1 10 2T= 0.00260.00490.00770.01050.01380.0170.0250.0350.0473/"Raikh10 0W = 4L = 10! / TEarlier results:Li, Phillips (1994): δ =2.38 (3D)Möbius, Richter, Drittler (1992):Sarvestani, Schreiber, Vojta (1995):Overlin, Wong, Yu (2004):δ =2.6 ± 0.2 (3D); 1.2 ± 0.1 (2D)2.1 ≤ δ ≤ 2.6 (3D)δ =2.7 (3D); 1.75 (2D)No exponentialgap!
Page 1 and 2: Elementary excitations andavalanche
Page 3 and 4: Classical electron glass model (Efr
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 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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