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We show that Zhang Degang's claimed solution of the three-dimensional Ising model [arXiv:2110.11233] has fatal irreparable errors.

综合物理 · 物理学 2023-02-28 Jacques H. H. Perk

This paper is a Response to Professor J.H.H. Perk's recent Comment (arXiv:1209.0731v1). We point out that the singularities of the reduced free energy {\beta}f, the free energy per site f and the free energy F of the 3D Ising model differ…

统计力学 · 物理学 2013-01-11 Zhidong Zhang , Norman H. March

The first paper is an invited comment on arXiv:1110.5527 presented at Hypercomplex Seminar 2012 and on sixteen earlier published papers by Zhidong Zhang and Norman H. March. All these works derive from an erroneous solution of the…

统计力学 · 物理学 2014-08-06 Jacques H. H. Perk

Two recent articles by Norman H. March that contain misleading statements concerning 3D Ising models, partly based on earlier erroneous work of Z.D. Zhang, are addressed.

统计力学 · 物理学 2016-03-23 Michael E. Fisher , Jacques H. H. Perk

The review paper by Zhang Zhi-Dong contains many errors and is based on several earlier works that are equally wrong.

统计力学 · 物理学 2013-08-12 Jacques H. H. Perk

A comment on a recent Letter by Baker and Kawashima (Phys. Rev. Lett. {\bf 75}, 994 (1995)).

凝聚态物理 · 物理学 2016-08-31 Jae-Kwon Kim

It is shown that a recent article by Z.-D. Zhang [arXiv:0705.1045] is in error and violates well-known theorems.

统计力学 · 物理学 2011-09-14 Jacques H. H. Perk

In a recent paper published in the Philosophical Magazine [Z.-D. Zhang, Phil. Mag. 87, 5309-5419 (2007), arXiv:0705.1045], the author advances a conjectured solution for various properties of the three-dimensional Ising model. Here we…

统计力学 · 物理学 2009-01-15 Fa Yueh Wu , Barry M. McCoy , Michael E. Fisher , Lincoln Chayes

In a recent preprint [ArXiv 1802.02319], Meneses et al. challenge our proof that scale invariance implies conformal invariance for the three-dimensional Ising model [B. Delamotte, M. Tissier and N. Wschebor, Phys. Rev. E 93 (2016),…

高能物理 - 理论 · 物理学 2018-02-22 Bertrand Delamotte , Matthieu Tissier , Nicolás Wschebor

We comment on Z. D. Zhang's Response [arXiv:0812.2330] to our recent Comment [arXiv:0811.3876] addressing the conjectured solution of the three-dimensional Ising model reported in [arXiv:0705.1045].

统计力学 · 物理学 2009-11-13 F. Y. Wu , B. M. McCoy , M. E. Fisher , L. Chayes

This comment is devoted to the paper "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry approach" (CNSNS, vol. 67 (2019), 253-263) in which several results are not new because were derived much earlier.…

偏微分方程分析 · 数学 2021-06-29 Roman Cherniha

In this case study, we illustrate the great potential of experimental mathematics and symbolic computation, by rederiving, ab initio, Onsager's celebrated solution of the twodimensional Ising model in zero magnetic field. Onsager's…

组合数学 · 数学 2018-05-24 Manuel Kauers , Doron Zeilberger

Recently K. Banaszek, I. A. Walmsley, K. Wodkiewicz (quant-ph/0012097) commented on our Proposal for the Measurement of Bell-Type Correlations from Continuous Variables [T. C. Ralph, W. J. Munro, R. E. S. Polkinghorne, Phys. Rev. Lett. 85,…

量子物理 · 物理学 2007-05-23 T. C. Ralph , W. J. Munro

I reply to the comment by Dr S. Nishigaki (hep-th/0007042) to my papers Phys. Rev. D61 (2000) 056005 and Phys. Rev. D62 (2000) 016005.

高能物理 - 理论 · 物理学 2009-10-31 Ulrika Magnea

We comment on the Reply of G. Su and M. Suzuki [cond-mat/9808011] to our Comment [cond-mat/9807402] about the papers of G. Su [Phys. Rev. B 54, 8291 (1996)] and G. Su and M. Suzuki [Phys. Rev. B 57, 13367 (1998)]. The algebraic mistake…

强关联电子 · 物理学 2007-05-23 A. Avella , F. Mancini , D. Villani

We compute the action-angle coordinates for an Ising type model whose L-operator has been previously studied in the literature by Bazhanov and Sergeev. In comparison to computations with such operators that have been examined previously by…

统计力学 · 物理学 2026-01-05 Pete Rigas

Motivated by recent interest in 2+1 dimensional quantum dimer models, we revisit Fisher's mapping of two dimensional Ising models to hardcore dimer models. First, we note that the symmetry breaking transition of the ferromagetic Ising model…

统计力学 · 物理学 2007-05-23 R. Moessner , S. L. Sondhi

I point out the incorrect statement of the recent manuscript by K.Penc and B.S.Shastry.

强关联电子 · 物理学 2007-05-23 A. A. Zvyagin

Lars Onsager and Bruria Kaufman calculated the partition function of the Ising model exactly in 1944 and 1949. Since then there have been many developments in the exact solution of similar, but usually more complicated, models. Here I shall…

统计力学 · 物理学 2015-05-20 R. J. Baxter

In this work we study the following three space problem for operator spaces: if X is an operator space with base space isomorphic to a Hilbert space and X contains a completely isomorphic copy of the operator Hilbert space OH with…

算子代数 · 数学 2017-04-26 Willian Hans Goes Corrêa
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