Glassy phase in quenched disordered crystalline membranes

Physical Review. E
O CoquandD Mouhanna

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=4-D 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.

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Citations

Jan 11, 2020·Physical Review Letters·Ivan BalogNicolás Wschebor
May 20, 2020·Physical Review. E·O CoquandD Mouhanna
Jul 22, 2020·Physical Review. E·O CoquandS Teber
Apr 18, 2021·Physical Review. E·O Coquand, D Mouhanna
Jun 18, 2021·Physical Review. E·Jonathan Kernes, Alex J Levine

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