Momentum-shell recursion relations, anisotropic spins, and liquid crystals in2+εdimensions
作者： David R. Nelson , Robert A. Pelcovits
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摘要: We describe in detail how to construct momentum-shell recursion relations for classical fixed-length spins $d=2+\ensuremath{\epsilon}$ dimensions. The theory is then applied anisotropic spin systems and a model of nematic liquid crystals. also develop trajectory-integral formalism, which used produce the free energy, magnetization, susceptibilities isotropic first order $\ensuremath{\epsilon}=d\ensuremath{-}2$.
sci-hub.se 参考文章(29)
Michael E. Fisher, David R. Nelson, Spin Flop, Supersolids, and Bicritical and Tetracritical Points Physical Review Letters. ,vol. 32, pp. 1350- 1353 ,(1974) , 10.1103/PHYSREVLETT.32.1350
David R. Nelson, J. M. Kosterlitz, Michael E. Fisher, Renormalization-Group Analysis of Bicritical and Tetracritical Points Physical Review Letters. ,vol. 33, pp. 813- 817 ,(1974) , 10.1103/PHYSREVLETT.33.813
Eberhard Riedel, Franz Wegner, Scaling approach to anisotropic magnetic systems statics European Physical Journal. ,vol. 225, pp. 195- 215 ,(1969) , 10.1007/BF01392215
Michael E. Fisher, P. Pfeuty, Critical Behavior of the Anisotropicn-Vector Model Physical Review B. ,vol. 6, pp. 1889- 1891 ,(1972) , 10.1103/PHYSREVB.6.1889
Franz J. Wegner, Critical Exponents in Isotropic Spin Systems Physical Review B. ,vol. 6, pp. 1891- 1893 ,(1972) , 10.1103/PHYSREVB.6.1891
J M Kosterlitz, D J Thouless, Ordering, metastability and phase transitions in two-dimensional systems Journal of Physics C: Solid State Physics. ,vol. 6, pp. 1181- 1203 ,(1973) , 10.1088/0022-3719/6/7/010
J M Kosterlitz, The critical properties of the two-dimensional xy model Journal of Physics C: Solid State Physics. ,vol. 7, pp. 1046- 1060 ,(1974) , 10.1088/0022-3719/7/6/005
Jorge V. José, Leo P. Kadanoff, Scott Kirkpatrick, David R. Nelson, Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model Physical Review B. ,vol. 16, pp. 1217- 1241 ,(1977) , 10.1103/PHYSREVB.16.1217
K. Binder, D. P. Landau, Critical properties of the two-dimensional anisotropic Heisenberg model Physical Review B. ,vol. 13, pp. 1140- 1155 ,(1976) , 10.1103/PHYSREVB.13.1140
Joseph Rudnick, Diagrammatic renormalization-group method Physical Review B. ,vol. 11, pp. 363- 376 ,(1975) , 10.1103/PHYSREVB.11.363