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We introduce vortex configurations with fractional topological charges where one unicolor or colorful intersection of two perpendicular vortex pairs contributes to the topological charge of the configurations. Using both, the overlap and…

High Energy Physics - Lattice · Physics 2019-01-09 Seyed Mohsen Hosseini Nejad

comment on cond-mat/97063007 and cond-mat/9707289

Mesoscale and Nanoscale Physics · Physics 2008-02-03 V. J. Goldman

Three comments on a recent paper entitled ``Macroscopic surface charges from microscopic simulations'' [J. Chem. Phys. 153, 164709 (2020)]

Chemical Physics · Physics 2021-06-24 Zhonghan Hu

We make some comments about the results we obtained in Phys. Rev. Lett. 86,3392(2001), and in Phys. Rev. Lett.87, 177206 (2001), and show that the conclusion of a recent paper [cond-mat/0409495] leveling some criticism on our results is, in…

Strongly Correlated Electrons · Physics 2009-09-29 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

We derive the weak value deflection given in a paper by Dixon et al. (Phys. Rev. Lett. 102, 173601 (2009)) both quantum mechanically and classically. This paper is meant to cover some of the mathematical details omitted in that paper owing…

We comment the recent published article entitled "Temperature dependent fluctuations in the two-dimensional XY model", appeared in J. Phys. A: Math.Gen. 38 (2005) 5603.

Statistical Mechanics · Physics 2007-05-23 G. Palma

This is a Comment on Phys.Rev.Lett. 100, 017001 (2008).

Superconductivity · Physics 2013-05-29 Ryusuke Ikeda

In this comment we point out some wrong statements in the paper by Inc and Cavlak, Phys. Scr. 78 (2008) 045008

Mathematical Physics · Physics 2015-05-13 Francisco M. Fernández

In this paper we deal with high-order corrections for the Fractional Derivative approach to anomalous diffusion, in super-diffusive regime, which become relevand whenever one attempts to describe the behavior of particles close to normal…

Statistical Mechanics · Physics 2007-06-15 M. Marseguerra , A. Zoia

In this paper, some points to the convergence analysis performed in the paper [A new computing approach for power signal modeling using fractional adaptive algorithms, ISA Transactions 68 (2017) 189-202] are presented. It is highlighted…

Optimization and Control · Mathematics 2020-03-24 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

In this note we provide answers to criticisms made the appendix D of the article [Phys. Rev. C100, 034615 (2019)] against to the theory developed recently and known a "Stochastic Mean-Field" (SMF) approach and its applications. Briefly, we…

Nuclear Theory · Physics 2019-10-01 Sakir Ayik , Denis Lacroix

We point out a misleading treatment in a recent paper published in this Journal [J. Math. Phys. (2016) 57, 082105] concerning solutions for the two-dimensional Dirac-Weyl equation with a q-deformed pseudoscalar magnetic barrier. The authors…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Angel E. Obispo , Gisele B. Freitas , Luis B. Castro

We continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.

Geometric Topology · Mathematics 2024-11-01 Laurence Boxer

This Comment points out a number of errors in the recent paper by Zarechnaya, Dubrovinskaia, Dubrovinsky, et al. (Phys. Rev. Lett. 102, 185501 (2009)). Results and conclusions presented by Zarechnaya et al. (2009) are either incorrect or…

Materials Science · Physics 2010-12-30 A. R. Oganov , V. L. Solozhenko , O. O. Kurakevych , C. Gatti , Y. Ma , J. Chen , Z. Liu , R. J. Hemley

Comment on the Letter by M. Franz and Z. Tesanovic, Phys. Rev. Lett. v.87, p.257003 (2001).

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Khveshchenko

We describe the occurrence and physical role of zero-energy modes in the Dirac equation with a topologically non-trivial background.

Strongly Correlated Electrons · Physics 2015-05-27 R. Jackiw

We summarize recent results obtained thanks to the phenomenology of Dihadron Fragmentation Functions. The results include the update on the fitting techniques for both the Dihadron Fragmentation Functions themselves and the transversity…

High Energy Physics - Phenomenology · Physics 2015-07-06 A. Courtoy

Electron fractionalization is intimately related to topology. In one-dimensional systems, fractionally charged states exist at domain walls between degenerate vacua. In two-dimensional systems, fractionalization exists in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

In this paper, we revisit the diffusive representations of fractional integrals established in \cite{diethelm2023diffusive} to explore novel variants of such representations which provide highly efficient numerical algorithms for the…

Numerical Analysis · Mathematics 2025-07-08 Renu Chaudhary , Kai Diethelm

We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.

Geometric Topology · Mathematics 2020-01-31 Laurence Boxer
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