Quantum dynamics of a single dislocation

Pierre-Gilles de Gennes

doi:10.1016/j.crhy.2006.06.008

Physics/Mathematical physics, theoretical physics

Quantum dynamics of a single dislocation

Presented by: Jacques Villain

Pierre-Gilles de Gennes ¹

¹ Institut Curie Recherche, 26, rue d'Ulm, 75005 Paris, France

Comptes Rendus. Physique, Volume 7 (2006) no. 5, pp. 561-566.

Abstract
Résumé

We discuss the zero temperature motions of an edge dislocation in a quantum solid (e.g., He₄). If the dislocation has one kink (equal in length to its Burgers vector b) the kink has a creation energy U and can move along the line with a certain transfer integral t. When t and U are of comparable magnitude, two opposite kinks can form an extended bound state, with a size l. The overall shape of the dislocation in the ground state is then associated with a random walk of persistence length l (along the line) and hop sizes b. We also discuss the motions of kinks under an applied shear stress σ: the glide velocity is proportional to $\exp (\frac{- σ^{*}}{σ})$ , where $σ^{*}$ is a characteristic stress, controlled by tunneling processes.

On analyse le mouvement à température nulle d'une dislocation coin dans un solide quantique (He₄). La dislocation peut avoir un cran (d'énergie U) dans son plan de glissement. Le cran peut avancer ou reculer le long de la dislocation par effet tunnel, avec une certaine intégrale de transfert t. Deux crans de signe opposé peuvent former un état lié. En présence d'une contrainte extérieure σ, la ligne doit avancer avec une vitesse $\sim \exp (- σ^{*} / σ)$ où $σ^{*}$ est une contrainte seuil, contrôlée par l'effet tunnel.

Received: 2006-02-09
Accepted: 2006-06-08
Published online: 2006-06-01

DOI: 10.1016/j.crhy.2006.06.008

Author's affiliations:

Pierre-Gilles de Gennes ¹

¹ Institut Curie Recherche, 26, rue d'Ulm, 75005 Paris, France

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     title = {Quantum dynamics of a single dislocation},
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Pierre-Gilles de Gennes. Quantum dynamics of a single dislocation. Comptes Rendus. Physique, Volume 7 (2006) no. 5, pp. 561-566. doi : 10.1016/j.crhy.2006.06.008. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.06.008/

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