AI Article Synopsis
- - We investigate the behavior of low angle grain boundaries (LAGBs) in a two-dimensional crystal at thermal equilibrium, focusing on how they respond to temperature changes.
- - As temperature increases, symmetric LAGBs experience a thermal depinning transition, which causes fluctuations that escalate logarithmically based on the distance between dislocations.
- - Our study identifies sequential melting transitions characterized by the loss of algebraic Bragg peaks, and we verify our findings through a connection to random matrix theory.
Article Abstract
We explore order in low angle grain boundaries (LAGBs) embedded in a two-dimensional crystal at thermal equilibrium. Symmetric LAGBs subject to a Peierls potential undergo, with increasing temperatures, a thermal depinning transition; above which, the LAGB exhibits transverse fluctuations that grow logarithmically with interdislocation distance. Longitudinal fluctuations lead to a series of melting transitions marked by the sequential disappearance of diverging algebraic Bragg peaks with universal critical exponents. Aspects of our theory are checked by a mapping onto random matrix theory.
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| http://dx.doi.org/10.1103/PhysRevLett.125.215503 | DOI Listing |
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