Abstract
The spectrum of rotons in two-dimensional liquid helium II is estimated within the Bijl-Feynman theory. Due to stronger short-range order and more effective back flow, the roton gap Δ is found to be about half as big as the bulk roton energy.
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F. D. M. Pobell, H. W. Chan, L. R. Corruccini, R. P. Henkel, S. W. Schwenterly, and J. D. Reppy,Phys. Rev. Lett. 28, 542 (1972); M. Chester and L. C. Yang,Phys. Rev. Lett. 31, 1377 (1973).
J. H. Scholtz, E. O. McLean, and I. Rudnick,Phys. Rev. Lett. 32, 147 (1974); T. E. Washburn, J. E. Rutledge, and J. M. Mochel,Phys. Rev. Lett. 34, 183 (1975).
T. C. Padmore,Phys. Rev. Lett. 28, 1512 (1972); G. Haug,J. Low Temp. Phys. 12, 479 (1973); T. C. Padmore and J. D. Reppy,Phys. Rev. Lett. 33, 1410 (1974).
C. G. Kuper,Physica 24, 1009 (1958).
L. S. Rent and I. Z. Fisher,Zh. Eksp. Teor. Fiz. 60, 1814 (1971); A. F. Andreev and D. A. Kompaneets,Zh. Eksp. Teor. Fiz. 61, 2459 (1971); D. O. Edwards, J. R. Eckhardt, and F. M. Gasparini,Phys. Rev. A 9, 2070 (1964).
Marvin Chester and L. Eytel,Phys. Rev. B 13, 1069 (1976).
T. C. Padmore,Phys. Rev. Lett. 32, 826 (1974).
D. C. Hickernell, E. O. McLean, and O. E. Vilches,Phys. Rev. Lett. 28, 789 (1972); M. Bretz, J. G. Dash, D. C. Hickernell, E. O. McLean, and O. E. Vilches,Phys. Rev. A 8, 1589 (1973).
D. J. Bishop, J. M. Parpia, and J. D. Reppy, inProc. 14th Int. Conf. Low Temp. Phys., M. Krusius and M. Vuorio, eds. (North-Holland, Amsterdam, 1975), Vol. 1, p. 380.
G. J. Coellner, J. G. Daunt, and E. Lerner,J. Low Temp. Phys. 21, 347 (1975); A. D. Navaco,J. Low Temp. Phys. 21, 359 (1975).
R. P. Feynman,Phys. Rev. 91, 1291, 1301 (1953);94, 262 (1954).
A. Bijl,Physica 7, 869 (1940).
J. Frenkel,Kinetic Theory of Liquids (Dover, New York, 1955), Chapter III, § 4.
E. K. Achter and L. Meyer,Phys. Rev. 188, 291 (1969).
M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions (Dover, New York).
R. P. Feynman, InProgress in Low Temp. Phys. I, C. J. Gorter, ed. (North-Holland Publishing, Amsterdam, 1955), p. 17.
W. Brenig,Z. Phys. 144, 488 (1956).
L. D. Landau and E. M. Lifshitz,Fluid Mechanics (Pergamon Press, Oxford, 1959), Chapter I, §§ 10, 11.
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Supported by grants of the Deutsche Forschungsgemeinschaft and, in part, by the U.S. National Science Foundation through Grants DMR73-02363 and DMR72-02977 A03.
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Götze, W., Lücke, M. A comment on rotons in two-dimensional liquid helium II. J Low Temp Phys 25, 671–676 (1976). https://doi.org/10.1007/BF00657290
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DOI: https://doi.org/10.1007/BF00657290