Abstract
We find that a finite concentration of vacancies induces Bose Einstein condensation (BEC) of the atoms in solid 4He at density close to the T=0 K melting where vacancies are delocalized. No BEC is present in the perfect crystal and in the defected solid at higher densities. These results are based on variational Monte Carlo method with shadow wave function which allows for relaxation and delocalization of vacancies. Extension of the theory at finite temperature leads to several possibilities. Depending on presence or not of ground state vacancies and on parameters like energy of formation and effective mass of a vacancy one can have a normal transition with BEC at low temperature or an inverted transition with BEC at high T. 4He on graphite appears to be a favorable candidate for a state with BEC and spatial order.
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REFERENCES
O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
A.F. Andreev and I.M. Lifshitz, Soviet Phys. JETP 29, 1107 (1969).
G.V. Chester, Phys. Rev. A 2, 256 (1970).
A. J. Leggett, Phys. Rev. Lett. 25, 1543 (1970).
P.G. van de Haar, C.M. Woerkens, M.W. Meisel and G. Frossati, J. Low Temp. Phys. 86, 349 (1992); M.W. Meisel, Physica B 178, 121 (1992).
C.A. Burns and J.M. Goodkind, Physica B 194–196, 949 (1994).
F. Pederiva, G.V. Chester, S. Fantoni and L. Reatto, Phys. Rev. B 56, 5909 (1997).
F. Pederiva, A. Ferrante, S. Fantoni and L. Reatto, Phys. Rev. Lett. 72, 2589 (1994).
S. Moroni, D.E. Galli, S. Fantoni and L. Reatto, Phys. Rev. B 58, 909 (1998).
S.A. Vitiello, K. Runge and M.H. Kalos, Phys. Rev. Lett. 60, 1970 (1988).
R.A. Aziz, V.P.S. Nain, J.S. Carley, W.L. Taylor and G.T. McConville, J. Chem. Phys. 70, 4330 (1979).
D.E. Galli and L. Reatto, Physica B 284–8, 236 (2000).
D.E. Galli and L. Reatto, to be published.
D.E. Galli, G.L. Masserini and L. Reatto, Phys. Rev. B 60, 3476 (1999).
L. Reatto and G.V. Chester, Phys. Rev. 155, 88 (1967).
B.A. Fraas, P.R. Granfors and R.O. Simmons, Phys. Rev. B 39, 124 (1989).
G. Lengua and J.M. Goodkind, J. Low Temp. Phys. 79, 251 (1990).
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Galli, D.E., Reatto, L. Vacancies in Solid 4He and Bose Einstein Condensation. Journal of Low Temperature Physics 124, 197–207 (2001). https://doi.org/10.1023/A:1017582019606
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DOI: https://doi.org/10.1023/A:1017582019606