Renormalization-Group Analysis of Bicritical and Tetracritical Points

作者: David R. Nelson , J. M. Kosterlitz , Michael E. Fisher

DOI: 10.1103/PHYSREVLETT.33.813

关键词:

摘要: Recently developed renormalization-group techniques are summarized and exploited to yield a analysis of bicritical tetracritical points (which arise in antiferromagnets boson systems). For $n\ensuremath{\lesssim}3$ an isotropic or Heisenberg fixed point dominates gives behavior; but for $n\ensuremath{\gtrsim}4$ new "biconical" with irrational $\ensuremath{\epsilon}$-expansion coefficients appears. This describes may be relevant displacive phase transitions.

参考文章(11)
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
Robert B. Griffiths, Thermodynamics Near the Two-Fluid Critical Mixing Point in He 3 - He 4 Physical Review Letters. ,vol. 24, pp. 715- 717 ,(1970) , 10.1103/PHYSREVLETT.24.715
Robert B. Griffiths, Proposal for Notation at Tricritical Points Physical Review B. ,vol. 7, pp. 545- 551 ,(1973) , 10.1103/PHYSREVB.7.545
Kenneth G. Wilson, Michael E. Fisher, Critical Exponents in 3.99 Dimensions Physical Review Letters. ,vol. 28, pp. 240- 243 ,(1972) , 10.1103/PHYSREVLETT.28.240
Kenneth G. Wilson, Feynman graph expansion for critical exponents Physical Review Letters. ,vol. 28, pp. 548- 551 ,(1972) , 10.1103/PHYSREVLETT.28.548
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
P. Pfeuty, David Jasnow, Michael E. Fisher, Crossover scaling functions for exchange anisotropy Physical Review B. ,vol. 10, pp. 2088- 2112 ,(1974) , 10.1103/PHYSREVB.10.2088
I J Ketley, D J Wallace, A modified epsilon expansion for a Hamiltonian with cubic point-group symmetry Journal of Physics A: Mathematical, Nuclear and General. ,vol. 6, pp. 1667- 1678 ,(1973) , 10.1088/0305-4470/6/11/006
Amnon Aharony, Critical Behavior of Anisotropic Cubic Systems Physical Review B. ,vol. 8, pp. 4270- 4273 ,(1973) , 10.1103/PHYSREVB.8.4270