00 8 Comment on “ Conjectures on exact solution of three - dimensional ( 3 D ) simple orthorhombic Ising lattices ” ∗ Jacques
نویسنده
چکیده
It is shown that a recent article by Z.-D. Zhang is in error and violates well-known theorems. After receiving an electronic reprint of Zhang's recent paper [1] some time ago, I have had an email exchange with the author pointing out a number of errors in the paper, which unfortunately invalidate all its main results. As now also follow-up papers [2, 3] have appeared using Zhang's erroneous results, I felt finally compelled to write down some of my criticism. The editor of the journal has supplied me with copies of a competing comment
منابع مشابه
Comment on “ Conjectures on exact solution of three - dimensional ( 3 D ) simple orthorhombic Ising lattices ” ∗ Jacques
It is shown that a recent article by Z.-D. Zhang is in error and violates well-known theorems. After receiving an electronic reprint of Zhang's recent paper [1], I have had an email exchange with the author pointing out a number of errors in the paper, which unfortunately invalidate all its main results. As now also a follow-up preprint [2] has appeared using Zhang's erroneous results, I feel c...
متن کامل6 M ay 2 00 5 Exact solution of the spin - 1 / 2 Ising model on the Shastry - Sutherland ( orthogonal - dimer ) lattice ⋆
A star-triangle mapping transformation is used to establish an exact correspondence between the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice and respectively, the spin-1/2 Ising model on a bathroom tile (4-8) lattice. Exact results for the critical temperature and spontaneous magnetization are obtained and compared with corresponding results on the regular Ising lat...
متن کاملStatistical and Computational Physics
(1) Exact universal amplitude ratios for two-dimensional Ising model and a quantum spin chain. (2) Critical behaviour of semi-infinite quenched dilute Ising-like systems in three dimensions: Ordinary transition. (3) Universal scaling functions for bond percolation on planar random and square lattices with multiple percolating clusters. (4) Polydispersity effect and universality of finite-size s...
متن کاملLow Temperature Expansion for the 3-d Ising Model
We compute the weak coupling expansion for the energy of the three dimensional Ising model through 48 excited bonds. We also compute the magnetization through 40 excited bonds. This was achieved via a recursive enumeration of states of fixed energy on a set of finite lattices. We use a linear combination of lattices with a generalization of helical boundary conditions to eliminate finite volume...
متن کاملComment on a recent conjectured solution of the three-dimensional Ising model
Comment on a recent conjectured solution of the three-dimensional Ising model F. Y. Wu a; B. M. McCoy b; M. E. Fisher c; L. Chayes d a Department of Physics, Northeastern University, Boston, USA b C.N. Yang Institute for Theoretical Physics, State University of New York, New York, USA c Institute for Physical Science and Technology, University of Maryland, MD, USA d Department of Mathematics, U...
متن کامل