EXACT RENORMALIZATION GROUP-EQUATIONS FOR THE 2-DIMENSIONAL ISING-MODEL

被引:42
作者
HILHORST, HJ
SCHICK, M
VANLEEUWEN, JMJ
机构
[1] Laboratorium voor Technische Natuurkunde, 2600 GA Delft
[2] Physics Dept. University of Washington, Seattle
关键词
D O I
10.1103/PhysRevB.19.2749
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
By explicit construction we show the existence of an exact renormalization group for triangular Ising models with only nearest-neighbor interactions. The recursion relations take the form of a set of three quasilinear first-order partial differential equations for the interactions. We determine a nontrivial fixed point and study the linearized flow around it. This yields the specific-heat exponent α=0, in agreement with the Onsager and Houtappel solutions, and demonstrates universality. The free energy is expressed as the trajectory integral of an explicitly given function of the interactions. © 1979 The American Physical Society.
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收藏
页码:2749 / 2763
页数:15
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