2003
DOI: 10.1103/physrevb.67.104205
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Dynamic structure factor of liquid and amorphous Ge fromab initiosimulations

Abstract: We calculate the dynamic structure factor S(k, ω) of liquid Ge (ℓ-Ge) at temperature T = 1250 K, and of amorphous Ge (a-Ge) at T = 300 K, using ab initio molecular dynamics. The electronic energy is computed using density-functional theory, primarily in the generalized gradient approximation, together with a plane wave representation of the wave functions and ultra-soft pseudopotentials. We use a 64-atom cell with periodic boundary conditions, and calculate averages over runs of up to about 16 ps. The calculat… Show more

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Cited by 38 publications
(41 citation statements)
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“…50 However, at low q values ͑q ഛ 0.5 q p ͒ the F͑q , t͒'s already exhibit an important diffusive component which imposes a slow decay; indeed a similar trend has already observed in other group IV B liquid metals such as liquid Si, Ge, and Pb. 8,9,11 This is at variance with the results for the simple liquid metals ͑i.e., alkalis, alkali earths, Al͒ near melting, [46][47][48][49][50] where for a comparable q-range the diffusive component is already very weak and the corresponding F͑q , t͒'s shows marked oscillations around zero.…”
Section: Collective Dynamicscontrasting
confidence: 52%
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“…50 However, at low q values ͑q ഛ 0.5 q p ͒ the F͑q , t͒'s already exhibit an important diffusive component which imposes a slow decay; indeed a similar trend has already observed in other group IV B liquid metals such as liquid Si, Ge, and Pb. 8,9,11 This is at variance with the results for the simple liquid metals ͑i.e., alkalis, alkali earths, Al͒ near melting, [46][47][48][49][50] where for a comparable q-range the diffusive component is already very weak and the corresponding F͑q , t͒'s shows marked oscillations around zero.…”
Section: Collective Dynamicscontrasting
confidence: 52%
“…6 The ab initio study of their dynamic structure factor has, however, become possible only more recently, through the advent of more computer power and/or simplifying methods, as the orbital-free AIMD. 7 Studies have been performed for liquid Si, 8 Ge, 9,10 and Pb. 11 Liquid Sn has attracted an important amount of experimental and theoretical work.…”
Section: Introductionmentioning
confidence: 99%
“…The dynamic structure factor can also be expressed in terms of frequency = /2 or energy E = h /2 ͑h being Planck's constant͒. Following Chai et al, 24 …”
Section: Simulation Detailsmentioning
confidence: 99%
“…24. Once this is done, we can get additional information on the vibrational properties of the sample 6,10,24 using the relation between the longitudinal current correlation function J l ͑Q , ͒, which is related to the dynamic structure factor by…”
Section: Simulation Detailsmentioning
confidence: 99%
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