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
[Mouvements quantiques d'une dislocation]

Présenté par : Jacques Villain

Pierre-Gilles de Gennes ¹

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

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

Résumé
Abstract

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.

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.

Reçu le : 2006-02-09
Accepté le : 2006-06-08
Publié le : 2006-06-01

DOI : 10.1016/j.crhy.2006.06.008

Affiliations des auteurs :

Pierre-Gilles de Gennes ¹

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

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Pierre-Gilles de Gennes. Quantum dynamics of a single dislocation. Comptes Rendus. Physique, Electromagnetic modelling, 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/

Bibliographie
Cité par

[1] E. Kim; M. Chan Nature, 427 (2004), p. 225

[2] E. Kim; M. Chan Science, 305 (2005), p. 1941

[3] A. Andreev; I.M. Lifshitz JETP, 29 (1969), p. 1107

[4] A.J. Leggett Phys. Rev. Lett., 25 (1970), p. 1543

[5] K. Liu; M.E. Fisher J. Low Temp. Phys., 10 (1973), p. 655

[6] P.W. Anderson; W. Brinkman; D. Huse Science, 310 (2005), p. 1164

[7] J. Friedel Dislocations, Pergamon Press, London, 1964

[8] A.F. Andreev; A.Y. Parshin Soviet Phys. JETP, 48 (1978), p. 763

[9] D.O. Edwards; S. Mukherjee; M. Pettersen Phys. Rev. Lett., 64 (1990), p. 902

[10] R. Peierls Proc. Phys. Soc., 52 (1940), p. 34

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Boris Petukhov Quantum mechanical tunnel nucleation of kink-solitons in a random potential, Journal of Statistical Mechanics: Theory and Experiment, Volume 2018 (2018) no. 9, p. 093104 | DOI:10.1088/1742-5468/aaddad
B. V. Petukhov Tunneling Nucleation of Kink Pairs on Dislocations in the Peierls Potential Relief with Random Distortions, Low Temperature Physics, Volume 44 (2018) no. 9, p. 912 | DOI:10.1063/1.5052676
S. T. Chui Quantum physics of kinks of dislocations, Physical Review B, Volume 82 (2010) no. 1 | DOI:10.1103/physrevb.82.014519
Ş. G. Söyler; A. B. Kuklov; L. Pollet; N. V. Prokof’ev; B. V. Svistunov Underlying Mechanism for the Giant Isochoric Compressibility of SolidHe4: Superclimb of Dislocations, Physical Review Letters, Volume 103 (2009) no. 17 | DOI:10.1103/physrevlett.103.175301
KWANG-HUA W. CHU POSSIBLE ZERO-FLUX TRANSPORT INDUCED BY DENSITY WAVES IN A SUPERSOLID TUBE, International Journal of Modern Physics B, Volume 22 (2008) no. 16, p. 2557 | DOI:10.1142/s0217979208039721
Sébastien Balibar; Frédéric Caupin Supersolidity and disorder, Journal of Physics: Condensed Matter, Volume 20 (2008) no. 17, p. 173201 | DOI:10.1088/0953-8984/20/17/173201
A. Syshchenko; J. Day; J. Beamish Defects and supersolidity: effects of annealing and stress on elastic behavior of solid He4, Low Temperature Physics, Volume 34 (2008) no. 4, p. 340 | DOI:10.1063/1.2911652
Giulio Biroli; Claudio Chamon; Francesco Zamponi Theory of the superglass phase, Physical Review B, Volume 78 (2008) no. 22 | DOI:10.1103/physrevb.78.224306
James Day; John Beamish Low-temperature shear modulus changes in solid 4He and connection to supersolidity, Nature, Volume 450 (2007) no. 7171, p. 853 | DOI:10.1038/nature06383
S. Youssef; R. Bonnet The elastic potential energy of a thin foil deformed by an in-plane 60° dislocation, Philosophical Magazine, Volume 87 (2007) no. 31, p. 4935 | DOI:10.1080/14786430701589384
A. C. Clark; J. T. West; M. H. W. Chan Nonclassical Rotational Inertia in Helium Crystals, Physical Review Letters, Volume 99 (2007) no. 13 | DOI:10.1103/physrevlett.99.135302
Satoshi Sasaki; Frédéric Caupin; Sébastien Balibar Wetting Properties of Grain Boundaries in SolidHe4, Physical Review Letters, Volume 99 (2007) no. 20 | DOI:10.1103/physrevlett.99.205302

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