Real-space renormalization group for the transverse-field Ising model in two and three dimensions
arXiv:1012.4557 · doi:10.1103/PhysRevE.83.051103
Abstract
The two- and three-dimensional transverse-field Ising models with ferromagnetic exchange interactions are analyzed by means of the real-space renormalization group method. The basic strategy is a generalization of a method developed for the one-dimensional case, which exploits the exact invariance of the model under renormalization and is known to give the exact values of the critical point and critical exponent . The resulting values of the critical exponent in two and three dimensions are in good agreement with those for the classical Ising model in three and four dimensions. This is the first example in which a real-space renormalization group on (2+1)- and (3+1)-dimensional Bravais lattices yields accurate estimates of the critical exponents.
14 pages, 5 figures, 4 tables
References in corpus (4)
Cited by in corpus (10)
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