Mermin–Wagner fluctuations in 2D amorphous solids

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Proceedings of the National Academy of Sciences of the United States of America (PNAS). 2017, 114(8), pp. 1856-1861. ISSN 0027-8424. eISSN 1091-6490. Available under: doi: 10.1073/pnas.1612964114
Zusammenfassung

In a recent commentary, J. M. Kosterlitz described how D. Thouless and he got motivated to investigate melting and suprafluidity in two dimensions [Kosterlitz JM (2016) J Phys Condens Matter 28:481001]. It was due to the lack of broken translational symmetry in two dimensions-doubting the existence of 2D crystals-and the first computer simulations foretelling 2D crystals (at least in tiny systems). The lack of broken symmetries proposed by D. Mermin and H. Wagner is caused by long wavelength density fluctuations. Those fluctuations do not only have structural impact, but additionally a dynamical one: They cause the Lindemann criterion to fail in 2D in the sense that the mean squared displacement of atoms is not limited. Comparing experimental data from 3D and 2D amorphous solids with 2D crystals, we disentangle Mermin-Wagner fluctuations from glassy structural relaxations. Furthermore, we demonstrate with computer simulations the logarithmic increase of displacements with system size: Periodicity is not a requirement for Mermin-Wagner fluctuations, which conserve the homogeneity of space on long scales.

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530 Physik
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Mermin–Wagner fluctuations, 2D ensembles, glass transition, phase transition, confined geometry
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ISO 690ILLING, Bernd, Sebastian FRITSCHI, Herbert KAISER, Christian L. KLIX, Georg MARET, Peter KEIM, 2017. Mermin–Wagner fluctuations in 2D amorphous solids. In: Proceedings of the National Academy of Sciences of the United States of America (PNAS). 2017, 114(8), pp. 1856-1861. ISSN 0027-8424. eISSN 1091-6490. Available under: doi: 10.1073/pnas.1612964114
BibTex
@article{Illing2017-02-21Mermi-38155,
  year={2017},
  doi={10.1073/pnas.1612964114},
  title={Mermin–Wagner fluctuations in 2D amorphous solids},
  number={8},
  volume={114},
  issn={0027-8424},
  journal={Proceedings of the National Academy of Sciences of the United States of America (PNAS)},
  pages={1856--1861},
  author={Illing, Bernd and Fritschi, Sebastian and Kaiser, Herbert and Klix, Christian L. and Maret, Georg and Keim, Peter}
}
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