Abstract
We investigate the behavior of mixed 3He–4He droplets on alkali surfaces at zero temperature, within the frame of Finite Range Density Functional theory. The properties of one single 3He atom on \(^4 He_{N_4 }\) droplets on different alkali surfaces are addressed, and the energetics and structure of \(^4 He_{N_4 } + ^3 He_{N_3 }\) systems on Cs surfaces, for nanoscopic 4He drops, are analyzed through the solutions of the mean field equations for varying number N 3 of 3He atoms. We discuss the size effects on the single particle spectrum of 3He atoms and on the shapes of both helium distributions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
P.G. de Gennes, Rev.Mod.Phys. 57827 (1985).
E.Cheng, M.W.Cole, J.Dupont-Roc, W.F.Saam, and J.Treiner, Rev.Mod.Phys. 65 557 (1993).
D. Bonn and D.Ross, Rep.Prog.Phys. 641085 (2001).
J. Klier, P.Stefanyi, and A.F.G. WyattPhys.Rev.Lett. 753709 (1995).
E.Rolley and C.GuthmannJ.Low Temp.Phys. 1081 (1997).
D.Ross, P.Taborek, and J.E.Rutledge, J.Low Temp.Phys. 1111 (1998).
J.Klier and A.F.G. Wyatt, J.Low Temp.Phys. 110919 (1998).
L.Szybisz, Phys.Rev. B 67132505 (2003).
L.Pricaupenko and J.Treiner, Phys.Rev.Lett. 722215 (1994).
D. Ross, J.A. Phillips, J.E.Rutledge, and P.Taborek, J.Low Temp.Phys. 10681 (1997).
D.O. Edwards and W.F. Saam, Progress in Low Temperature PhysicsD.F. Brewer (ed.), North Holland, Amsterdam (1978),p.283.
R.B. Hallock, J.Low Temp.Phys. 10131 (1995).
M.Barranco, M.Pi, S.M. Gatica, E.S.Hernánd ez, and J. Navarro, Phys.Rev. B 56 8997 (1997).
M.Pi, R.Mayol, and M. Barranco, Phys.Rev.Lett. 823093 (1999).
N.Pavloff and J.Treiner, J.Low Temp.Phys. 83331 (1991).
J.Treiner, J.Low. Temp.Phys . 921 (1993);L.Pricoupenko and J.TreinerJ.Low Temp. Phys. 101349 (1995).
M.S. Pettersen and W.F. Saam, J.Low.Temp.Phys. 90159 (1993).
D. Ross, J.E. Rutledge, and P.Taborek, Phys.Rev.Lett. 744483 (1995)
K.S. Ketola and R.B. Hallock, Phys.Rev.Lett. 713295 (1993);K.S.Ketola,T.A. Moreau,and R.B.HallockJ.Low.Temp.Phys. 101343 (1995).
M.S. Pettersen and W.F. Saam, Phys.Rev. B 5115369 (1995);W.F.Saam and M.S. PettersenJ.Low Temp.Phys. 101355 (1995).
D.Ross, J.E.Rutledge,and P.TaborekPhys.Rev.Lett. 762350 (1996).
J.Klier and A.F.G.WyattJ.Low.Temp.Phys. 11661 (1999).
F.Ancilotto, A.M.Sartori,and F.ToigoPhys.Rev. B 585085 (1998).
F.Dalfovo, A.Lastri, L.Pricaupenko, S.Stringari,and J.TreinerPhys.Rev. B 521193 (1995).
R.Mayol, M.Barranco, E.S.Hern ández, M.Pi,and M.GuilleumasPhys.Rev.Lett. 90185301 (2003).
R.Mayol, M.Pi, M.Barranco,and F.DalfovoPhys.Rev.Lett. 87145301 (2001).
J.Dupont-Roc, M.Himbert, N.Pavloff and J.TreinerJ.Low Temp.Phys. 8131 (1990).
A.Chizmeshya, M.W.Cole,and E.ZarembaJ.Low Temp.Phys. 110677 (1998).
M.Barranco, M.Guilleumas, E.S.Hern ández, R.Mayol, M.Pi,and L.SzybiszPhys. Rev. B 68024515 (2003).
Notice that only the lowest lying sp states have been obtained;the calculation of the higher energy levels becomes increasingly cumbersome due to the Gram-Schmidt scheme needed to guarantee that sp states with the same orbital angular momentum are ortho-normal.
J.M.LuttingerJ.Math.Phys. 41154 (1962).
F.D.M.HaldanePhys.Rev.Lett. 471840 (1981);J.Chem.Phys. 142585 (1981).
Actually,in the case of K,we have not reached n c in the calculations.This is not cru-cial,since for this alkali,the spectrum is insensitive to the actual value of the coverage for values above ∼0.40 Å-2,see for example Ref.15.
N.Pavloff and J.TreinerJ.Low Temp.Phys. 8315 (1991).
B.E.Clements, E.Krotscheck,and M.SaarelaPhys.Rev. B 555959 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Barranco, M., Guilleumas, M., Mayol, R. et al. Finite Size Effects in Adsorption of Helium Mixtures by Alkali Substrates. Journal of Low Temperature Physics 136, 139–157 (2004). https://doi.org/10.1023/B:JOLT.0000038519.91724.65
Issue Date:
DOI: https://doi.org/10.1023/B:JOLT.0000038519.91724.65