Quantum and classical elasticity of graphene

Seminar
QUEST Center event
No
Speaker
Igor Burmistrov, Landau Institute for Theoretical Physics
Date
29/04/2019 - 13:30Add to Calendar 2019-04-29 13:30:00 2019-04-29 13:30:00 Quantum and classical elasticity of graphene In this talk, I present an review of recent results [1,2,3] for the elastic properties of 2D crystalline membranes, including graphene. I discuss how an interplay between quantum and classical anharmonicity-controlled fluctuations leads to unusual elastic properties of the crystalline membrane. In particular, I discuss how anomalous Hooke’s law leads to the negative and almost constant thermal expansion coefficient in a wide temperature range and how the third law of the thermodynamics is restored at extremely low temperatures. Also, I discuss why the anomalous Hooke’s law is responsible for negative absolute and differential Poisson ratios of the crystalline membrane. I present the overall dependence of the Poisson ratio on the stress and the membrane size. I explain a possible reason of discrepancy in the results for the Poisson ratio between the self-consistent screening theory of membrane and numerical simulations. [1] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, M.I. Katsnelson, A.D. Mirlin, Phys. Rev. B 94, 195430 (2016). [2] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, M.I. Katsnelson, J.H. Los, A.D. Mirlin, Phys. Rev. B 97, 125402 (2018). [3] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, A.D. Mirlin, Annals of Physics 396, 119 (2018). Physics 301 המחלקה לפיזיקה physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Physics 301
Abstract

In this talk, I present an review of recent results [1,2,3] for the elastic properties of 2D crystalline membranes, including graphene. I discuss how an interplay between quantum and classical anharmonicity-controlled fluctuations leads to unusual elastic properties of the crystalline membrane. In particular, I discuss how anomalous Hooke’s law leads to the negative and almost constant thermal expansion coefficient in a wide temperature range and how the third law of the thermodynamics is restored at extremely low temperatures. Also, I discuss why the anomalous Hooke’s law is responsible for negative absolute and differential Poisson ratios of the crystalline membrane. I present the overall dependence of the Poisson ratio on the stress and the membrane size. I explain a possible reason of discrepancy in the results for the Poisson ratio between the self-consistent screening theory of membrane and numerical simulations.


[1] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, M.I. Katsnelson, A.D. Mirlin, Phys. Rev. B 94, 195430 (2016).
[2] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, M.I. Katsnelson, J.H. Los, A.D. Mirlin, Phys. Rev. B 97, 125402 (2018).

[3] I.S. Burmistrov, I.V. Gornyi, V.Yu. Kachorovskii, A.D. Mirlin, Annals of Physics 396, 119 (2018).

תאריך עדכון אחרון : 01/04/2019