Incommensurate Solid Monolayer of 3He Adsorbed on Grafoil: Generalized Heisenberg Model with Exchange Frequencies Evaluated by Path Integral Techniques
作者： B. Bernu , D. Ceperley , C. Lhuillier , L. Pierre
DOI: 10.1007/978-1-4615-3466-2_32
关键词: Hexagonal lattice 、 Phonon 、 Helium atom 、 Phase diagram 、 Condensed matter physics 、 Monolayer 、 Debye model 、 Heisenberg model 、 Chemistry 、 Hamiltonian (quantum mechanics)
摘要: Recent experiments on 3He adsorbed grafoil have shown a very rich phase diagram: commensurate and incommensurate solid phases, coexistence of first layers with liquid second or third layers. We focus here the study one layer, for densities between 0.08 0.1 atom/A,2 at temperatures less than 1K. The forms triangular lattice its Debye temperature is 20K 30K. Below 1K, phonons vanish physics governed only by multiple spin exchanges: full hamiltonian can be mapped to generalized Heisenberg model.
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sci-hub.st 参考文章(12)
D. M. Ceperley, G. Jacucci, Calculation of exchange frequencies in bcc 3He with the path-integral Monte Carlo method. Physical Review Letters. ,vol. 58, pp. 1648- 1651 ,(1987) , 10.1103/PHYSREVLETT.58.1648
Dennis S. Greywall, Paul A. Busch, Nuclear-spin heat capacity of submonolayer solid 3He films. Physical Review Letters. ,vol. 65, pp. 2788- 2791 ,(1990) , 10.1103/PHYSREVLETT.65.2788
J. G. Dash, Alan Beerbower, Films on Solid Surfaces Journal of Lubrication Technology. ,vol. 98, pp. 479- 480 ,(1976) , 10.1115/1.3452898
S. V. Hering, S. W. Van Sciver, O. E. Vilches, Apparent new phase of monolayer 3 He and 4 He films adsorbed on Grafoil as determined from heat capacity measurements Journal of Low Temperature Physics. ,vol. 25, pp. 793- 805 ,(1976) , 10.1007/BF00657299
R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor, G. T. McConville, An accurate intermolecular potential for helium Journal of Chemical Physics. ,vol. 70, pp. 4330- 4342 ,(1979) , 10.1063/1.438007
H. Godfrin, R. R. Ruel, D. D. Osheroff, Experimental observation of a two-dimensional Heisenberg nuclear ferromagnet Physical Review Letters. ,vol. 60, pp. 305- 308 ,(1988) , 10.1103/PHYSREVLETT.60.305
Dennis S. Greywall, Heat capacity of multilayers of 3He adsorbed on graphite at low millikelvin temperatures. Physical Review B. ,vol. 41, pp. 1842- 1862 ,(1990) , 10.1103/PHYSREVB.41.1842
D J Thouless, Exchange in solid 3He and the Heisenberg Hamiltonian Proceedings of the Physical Society. ,vol. 86, pp. 893- 904 ,(1965) , 10.1088/0370-1328/86/5/301
M. Roger, Frustration due to competing cyclic ring exchanges in two-dimensional solid 3He. Physical Review Letters. ,vol. 64, pp. 297- 300 ,(1990) , 10.1103/PHYSREVLETT.64.297
Charles H Bennett, Efficient estimation of free energy differences from Monte Carlo data Journal of Computational Physics. ,vol. 22, pp. 245- 268 ,(1976) , 10.1016/0021-9991(76)90078-4