Abstract
We perform calculations of the momentum distribution n(k) in solid 4He by means of path integral Monte Carlo methods. We see that, in perfect crystals, n(k) does not depend on temperature T and that is different from the classical Gaussian shape of the Maxwell-Boltzmann distribution, even though these discrepancies decrease when the density of the system increases. In crystals presenting vacancies, we see that for T≥0.75 K, n(k) presents the same behavior as in the perfect crystal, but, at lower T, it presents a peak when k→0.
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References
E. Kim, M.H.W. Chan, Nature 427, 225 (2004)
E. Kim, M.H.W. Chan, Science 305, 1941 (2004)
A.F. Andreev, I.M. Lifshitz, Sov. Phys. JEPT 29, 1107 (1969)
G.V. Chester, Phys. Rev. A 2, 256 (1970)
A.J. Leggett, Phys. Rev. Lett. 25, 1543 (1970)
Y. Aoki, J.C. Graves, H. Kojima, Phys. Rev. Lett. 99, 015301 (2007)
M. Kondo, S. Takada, Y. Shibayama, K. Shirahama, J. Low. Temp. Phys. 148(5/6), 695 (2007)
A.S. Rittner, J.D. Reppy, Phys. Rev. Lett. 98, 175302 (2007)
D.M. Ceperley, B. Bernu, Phys. Rev. Lett. 93, 155303 (2004)
B.K. Clark, D.M. Ceperley, Phys. Rev. Lett. 96, 105302 (2006)
D.E. Galli, L. Reatto, Phys. Rev. Lett. 96, 165301 (2006)
L. Pollet, M. Boninsegni, A.B. Kuklov, N.V. Prokof’ev, B.V. Svistunov, M. Troyer, Phys. Rev. Lett. 98, 135301 (2007)
M. Boninsegni, N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. Lett. 96, 105301 (2006)
D.M. Ceperley, Rev. Mod. Phys. 67, 279 (1995)
K. Sakkos, J. Casulleras, J. Boronat, J. Chem. Phys. 130, 204109 (2009)
M. Takahashi, M. Imada, J. Phys. Soc. Jpn. 53, 3765 (1984)
M. Boninsegni, N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. E 74, 036701 (2006)
A. Sarsa, K.E. Schmidt, W.R. Magro, J. Chem. Phys. 113, 1366 (2000)
R. Rota, J. Casulleras, F. Mazzanti, J. Boronat, Phys. Rev. E 81, 016707 (2010)
R.A. Aziz, V.P.S. Nain, S. Carley, W.L. Taylor, G.T. McConville, J. Chem. Phys. 70, 4330 (1979)
H.R. Glyde, Excitations in Liquid and Solid Helium (Oxford University Press, Oxford, 1994)
S.O. Diallo, J.V. Pearce, R.T. Azuah, O. Kirichek, J.W. Taylor, H.R. Glyde, Phys. Rev. Lett. 98, 205301 (2007)
D.M. Ceperley, in Momentum Distributions, ed. by R.N. Silver, P.E. Sokol (Plenum, New York, 1989)
C. Cazorla, G.E. Astrakharchik, J. Casulleras, J. Boronat, New J. Phys. 11, 013047 (2009)
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Rota, R., Boronat, J. Path Integral Monte Carlo Calculation of Momentum Distribution in Solid 4He. J Low Temp Phys 162, 146–153 (2011). https://doi.org/10.1007/s10909-010-0249-5
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DOI: https://doi.org/10.1007/s10909-010-0249-5