Low-frequency excess vibrational modes in two-dimensional glasses

التفاصيل البيبلوغرافية
العنوان: Low-frequency excess vibrational modes in two-dimensional glasses
المؤلفون: Wang, Lijin, Szamel, Grzegorz, Flenner, Elijah
سنة النشر: 2021
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Soft Condensed Matter
الوصف: Glasses possess more low-frequency vibrational modes than predicted by Debye theory. These excess modes are crucial for the understanding the low temperature thermal and mechanical properties of glasses, which differ from those of crystalline solids. Recent simulational studies suggest that the density of the excess modes scales with their frequency $\omega$ as $\omega^4$ in two and higher dimensions. Here, we present extensive numerical studies of two-dimensional model glass formers over a large range of glass stabilities. We find that the density of the excess modes follows $D_\text{exc}(\omega)\sim \omega^2 $ up to around the boson peak, regardless of the glass stability. The stability dependence of the overall scale of $D_\text{exc}(\omega)$ correlates with the stability dependence of low-frequency sound attenuation. However, we also find that in small systems, where the first sound mode is pushed to higher frequencies, at frequencies below the first sound mode there are excess modes with a system size independent density of states that scales as $\omega^3$.
Comment: 6 pages and Supplemental Material
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.127.248001
URL الوصول: http://arxiv.org/abs/2107.01505
رقم الأكسشن: edsarx.2107.01505
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevLett.127.248001