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Glassy phase in quenched disordered crystalline membranes

O. Coquand, K. Essafi, J.-P. Kownacki, and D. Mouhanna
Phys. Rev. E 97, 030102(R) – Published 8 March 2018

Abstract

We investigate the flat phase of D-dimensional crystalline membranes embedded in a d-dimensional space and submitted to both metric and curvature quenched disorders using a nonperturbative renormalization group approach. We identify a second-order phase transition controlled by a finite-temperature, finite-disorder fixed point unreachable within the leading order of ε=4D and 1/d expansions. This critical point divides the flow diagram into two basins of attraction: that associated with the finite-temperature fixed point controlling the long-distance behavior of disorder-free membranes and that associated with the zero-temperature, finite-disorder fixed point. Our work thus strongly suggests the existence of a whole low-temperature glassy phase for quenched disordered crystalline membranes and, possibly, for graphene and graphene-like compounds.

  • Figure
  • Received 31 August 2017

DOI:https://doi.org/10.1103/PhysRevE.97.030102

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft MatterCondensed Matter, Materials & Applied Physics

Authors & Affiliations

O. Coquand1,*, K. Essafi2,†, J.-P. Kownacki3,‡, and D. Mouhanna1,§

  • 1Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, F-75005 Paris, France
  • 2Okinawa Institute of Science and Technology Graduate University, Onna-son, Okinawa 904-0495, Japan
  • 3LPTM, CNRS UMR 8089-Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France

  • *coquand@lptmc.jussieu.fr
  • karim.essafi@oist.jp
  • kownacki@u-cergy.fr
  • §mouhanna@lptmc.jussieu.fr

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Issue

Vol. 97, Iss. 3 — March 2018

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