Zero-point vacancy concentration in a model quantum solid: A reversible-work approach

Journal of Statistical Physics

Volumn 134, Issue 4, 2009, Pages 769-780

  Pessoa, Renato ^a   De Koning, Maurice ^a   Vitiello, Silvio Antonio ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Anharmonic effects; Quantum solids; Reversible work method; Vacancy concentration

Indexed keywords

EID: 62949204652     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-009-9702-8     Document Type: Article

References (35)

1. Anderson, P.W.: Physics of a superfluid solid. arXiv:cond-mat/0504731v1 (2005)
2. P.W. Anderson W.F. Brinkman D.A. Huse 2005 Thermodynamics of an incommensurate quantum crystal Science 310 1164
3. A.F. Andreev I.M. Lifshitz 1969 Quantum theory of defects in crystals Sov. Phys. JETP 29 1107
4. Ashcroft, N.W., Mermin, N.D.: Solid State Physics. Brooks/Cole (1976)
5. 4He Phys. Rev. Lett. 96 105301
6. 4He Phys. Rev. Lett. 97 080401
7. M. Boninsegni A.B. Kuklov L. Pollet N.V. Prokof'ev B.V. Svistunov M. Troyer 2007 Luttinger liquid in the core of a screw dislocation in helium-4 Phys. Rev. Lett. 99 035301
8. 4He J. Low Temp. Phys. 93 15
9. Campbell, C.E.: The structure of quantum fluids. In: Croxton, C.A. (ed.) Progress in Liquid Physics. Wiley, New York (1977)
10. G.V. Chester 1970 Speculations on Bose-Einstein condensation and quantum crystals Phys. Rev. A 2 256
11. 4He Phys. Rev. Lett. 96 105302
12. 4He and connection to supersolidity Nature 450 853
13. S.R. de Debiaggi M. de Koning A.M. Monti 2006 Theoretical study of the thermodynamic and kinetic properties of self-interstitials in aluminum and nickel Phys. Rev. B 73 104103
14. S.M. Foiles 1994 Evaluation of harmonic methods for calculating the free energy of defects in solids Phys. Rev. B 49 14930
15. Frenkel, D., Smit, B.: Understanding Molecular Simulations: From Algorithms to Applications. Academic Press, San Diego (2002)
16. 4He at 0 K J. Stat. Phys. 78 117
17. E. Kim M.H.W. Chan 2004 Observation of superflow in solid helium Science 305 1941
18. E. Kim M.H.W. Chan 2004 Probable observation of a supersolid helium phase Nature 427 225
19. E. Kim M.H.W. Chan 2006 Supersolid helium at high pressure Phys. Rev. Lett. 97 115302
20. M. de Koning 2005 Optimizing the driving function for nonequilibrium free-energy calculations in the linear regime: a variational approach J. Chem. Phys. 122 104106
21. M. de Koning W. Cai A. Antonelli S. Yip 2000 Efficient free energy calculations by simulation of nonequilibrium processes Comput. Sci. Eng. 2 88
22. M. de Koning S.R. de Debiaggi A.M. Monti 2004 Atomistic calculation of vacancy-formation free energies by reversible vacancy creation Phys. Rev. B 70 054105
23. 4He J. Low Temp. Phys. 148 695 699
24. 4He Phys. Rev. B 50 13577
25. Maradudin, A.A., Montroll, E.W., Weiss, G.H., Ipatova, I.P.: Theory of Lattice Dynamics in the Harmonic Approximation, 2nd edn. Academic, New York (1971)
26. 4He Phys. Rev. 138 A442 A451
27. O. Penrose L. Onsager 1956 Bose-Einstein condensation and liquid helium Phys. Rev. 104 576 584
28. 4He J. Low Temp. Phys. 148 677 681
29. 4He Phys. Rev. Lett. 98 135301
30. S. Prestipino F. Saija P.V. Giaquinta 2005 Phase diagram of softly repulsive systems: the Gaussian and inverse-power-law potentials J. Chem. Phys. 123 144110
31. 4He Phys. Rev. Lett. 98 175302
32. 4He. In: Meeting of the American Physical Society (2007). URL http://meetings.aps.org/link/BAPS.2007.MAR.P31.12
33. J. Toner 2008 Quenched dislocation enhanced supersolid ordering Phys. Rev. Lett. 100 035302
34. 4He Phys. Rev. Lett. 60 1970 1973
35. 4He using a modern He-He potential Phys. Rev. B 60 12342