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Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

We comment on recent e-print by L. Mardoyan et al. [cond-mat/0609768]

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. A. Tolkachev , L. M. Tomilchik

We comment on a recent letter by Amini et al. (EPL 87, 37002 (2009)) concerning the existence of a mobility edge in disordered graphene.

Strongly Correlated Electrons · Physics 2015-05-18 J. Schleede , G. Schubert , H. Fehske

This Paper summarize the present status and near term perspectives for Diffractive Physics at Tevatron. We describe the new detectors that are being installed around the CDF and D0 interaction regions, and discuss he physics topics…

High Energy Physics - Experiment · Physics 2014-11-17 Gilvan A. Alves

We demonstrate that topological Dirac semimetals, which possess two Dirac nodes, separated in momentum space along a rotation axis and protected by rotational symmetry, exhibit an additional quantum anomaly, distinct from the chiral…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Anton A. Burkov , Yong Baek Kim

We provide a reply to a comment by I. Goychuk arXiv:1708.04155, version v2 from 27 Aug 2017 (not under active consideration with Phys. Rev. Lett.), on our Letter E. Aghion, D. A. Kessler and E. Barkai, Phys. Rev. Lett., 118, 260601 (2017).

Statistical Mechanics · Physics 2017-10-17 Erez Aghion , David A. Kessler , Eli Barkai

To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

In this article we give corrections and addendum to the article ``Flops and Poisson deformations of symplectic varieties, Publ. Res. Inst. Math. Sci. {\bf 44} (2008) 259 - 314''.

Algebraic Geometry · Mathematics 2026-01-13 Yoshinori Namikawa

We thank G.P. Mikitik and Yu.V. Sharlai for contributing this note and the cordial exchange about it. First and foremost, we note that the aim of our paper is to report a methodology to diagnose topological (semi)metals using magnetic…

Statistical Topology emerged since topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of…

Mathematical Physics · Physics 2023-03-22 Thomas Guhr

Fractional learning algorithms are trending in signal processing and adaptive filtering recently. However, it is unclear whether the proclaimed superiority over conventional algorithms is well-grounded or is a myth as their performance has…

Machine Learning · Computer Science 2022-11-23 Abdul Wahab , Shujaat Khan , Imran Naseem , Jong Chul Ye

We reply to the comment cond-mat/0008098 by Yang, Sun, and Chang on our paper "Theory of Diluted Magnetic Semiconductor Ferromagnetism", Phys. Rev. Lett. 84, 5628 (2000).

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jürgen König , Hsiu-Hau Lin , Allan H. MacDonald

We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely…

General Topology · Mathematics 2018-12-13 Laurence Boxer

We show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tight-biding systems described, in the continuum approximation, by the Dirac equation in (2+1)-dimensional space and time. These…

Strongly Correlated Electrons · Physics 2008-11-26 Claudio Chamon , Chang-Yu Hou , Roman Jackiw , Christopher Mudry , So-Young Pi , Andreas P. Schnyder

We comment on the discretization of the Dirac equation using finite element spaces of differential forms. In order to treat perturbations by low order terms, such as those arizing from electromagnetic fields, we develop some abstract…

Numerical Analysis · Mathematics 2016-09-19 Snorre H. Christiansen

This combines a reply to the Comment [hep-th/0203067 v1] by A. N. Vaidya and R. de L. Rodrigues with an erratum to our Letter [Phys. Rev. Lett. 87, 210405 (2001)]

High Energy Physics - Theory · Physics 2007-05-23 A. D. Alhaidari

This document contains the notes of a lecture I gave at the "Journ\'ees Nationales du Calcul Formel" (JNCF) on January 2017. The aim of the lecture was to discuss low-level algorithmics for p-adic numbers. It is divided into two main parts:…

Number Theory · Mathematics 2017-01-25 Xavier Caruso

In this article we give the basic concept of the "Topological Numbers" in theory of quasiperiodic functions. The main attention is paid to apperance of such values in transport phenomena including Galvanomagnetic phenomena in normal metals…

Condensed Matter · Physics 2007-05-23 A. Ya. Maltsev , S. P. Novikov

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…

Statistical Mechanics · Physics 2009-01-15 Fa Yueh Wu , Barry M. McCoy , Michael E. Fisher , Lincoln Chayes

This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by…

Probability · Mathematics 2014-10-06 Liang Hong