1987
DOI: 10.1103/physrevlett.58.1765
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Ab initiomolecular dynamics on the Ge(100) surface

Abstract: An ab initio total-energy approach to molecular dynamics and simulated quenching is applied for the first time and used to study the structure of the Ge(100) surface. The geometry of the lowest-energy c(4x2)-symmetry dimer model is predicted. A soft energy surface for displacement of dimers in the [110] direction is discovered which could lead to a new type of symmetry breaking.

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Cited by 156 publications
(52 citation statements)
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“…Calculations and experimental results have demonstrated that tilting the dimer bonds in various patterns reduces the total surface energy. For Ge, calculations reveal that the c͑4 ϫ 2͒ reconstruction, in which the dimer bond tilts alternate along and perpendicular to the dimer rows, and the p͑2 ϫ 2͒ reconstruction, in which dimer bond tilts alternate only perpendicular to the dimer rows, lie extremely close in energy, [19][20][21] and thus both reconstructions are expected to be observed at finite temperature.…”
Section: Introductionmentioning
confidence: 99%
“…Calculations and experimental results have demonstrated that tilting the dimer bonds in various patterns reduces the total surface energy. For Ge, calculations reveal that the c͑4 ϫ 2͒ reconstruction, in which the dimer bond tilts alternate along and perpendicular to the dimer rows, and the p͑2 ϫ 2͒ reconstruction, in which dimer bond tilts alternate only perpendicular to the dimer rows, lie extremely close in energy, [19][20][21] and thus both reconstructions are expected to be observed at finite temperature.…”
Section: Introductionmentioning
confidence: 99%
“…98 The calculated dimer lengths range from 2.38 to 2.51Å and buckling angles are in the range of 19-20 • , which is also in good agreement with the experimentally reported values. 107,[127][128][129] Finally, despite the vanishing band gap for bulk Ge, the existing gap states for the Ge(001) surface reconstructions are qualitatively present in calculated density of states (DOS). 130 …”
Section: A Electronic Structure Calculations: Density Functional Theorymentioning
confidence: 99%
“…Nevertheless, a commonly accepted picture of the reconstructed Ge͑001͒ surface consists of an asymmetric dimer ordering in a (2x1) structure at room temperature (RT), while the surface reconstructs according to a c͑4 ϫ 2͒ arrangement at low temperature. In addition, Needels et al 17,18 found the c͑4 ϫ 2͒ and p͑2 ϫ 2͒ reconstructions are almost degenerate and their energy is approximately 0.07 eV per dimer lower than that of the b͑2 ϫ 1͒ structure. They also suggested the existence of a phase transition at 380± 100 K, between the ordered c͑4 ϫ 2͒ or p͑2 ϫ 2͒ state and the disordered b͑2 ϫ 1͒ state.…”
Section: A Ge"001… 2ã 1 Surfacementioning
confidence: 99%
“…The symmetric versus asymmetric nature of the dimer bond has been an important issue for both theoretical and experimental investigations. Many theoretical [16][17][18] and experimental 19 works have favored the asymmetric dimers. Besides, in addition to the buckled b͑2 ϫ 1͒, higher order reconstructions of Ge͑001͒ surface, such as c͑4 ϫ 2͒ or p͑2 ϫ 2͒ have been observed.…”
Section: A Ge"001… 2ã 1 Surfacementioning
confidence: 99%