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We correct an error in the article "Property (RD) for Hecke pairs".

Operator Algebras · Mathematics 2012-12-13 Vahid Shirbisheh

We derive the polarizability of an electron system in (i) the superconducting phase, with d-wave symmetry, (ii) the pseudogap regime, within the precursor pairing scenario, and (iii) the d-density-wave (dDW) state, characterized by a d-wave…

Superconductivity · Physics 2007-05-23 N. Andrenacci , G. G. N. Angilella , H. Beck , R. Pucci

Radiative corrections to neutrino deep inelastic scattering are revisited. One-loop electroweak corrections are re-calculated within the automatic SANC system. Terms with mass singularities are treated including higher order leading…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. B. Arbuzov , D. Yu. Bardin , L. V. Kalinovskaya

We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be introduced explicitly, we develop an analytic perturbation…

Adaptation and Self-Organizing Systems · Physics 2020-07-29 Erik Genge , Erik Teichmann , Michael Rosenblum , Arkady Pikovsky

A d-wave superconductor, its phase coherence progressively destroyed by unbinding of vortex-antivortex pairs, suffers an instability related to chiral symmetry breaking in two-flavor QED$_3$. The chiral manifold exhibits large degeneracy…

Superconductivity · Physics 2007-05-23 Z. Tesanovic , O. Vafek , M. Franz

Motivated by the growing evidence of the importance of charge fluctuations in the pseudogap phase in high-temperature cuprate superconductors, we apply a large-N expansion formulated in a path integral representation of the two-dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 Matias Bejas , Andres Greco , Hiroyuki Yamase

Studying the disappearance of superconductivity at the end of the overdoped region of the cuprate phase diagram offers a different approach for investigating the interaction which is responsible for pairing in these materials. In the…

Superconductivity · Physics 2020-07-29 Thomas A. Maier , Seher Karakuzu , Douglas J. Scalapino

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

We address the question of whether an anisotropic gap $d_{x^2-y^2}$ symmetry is compatible with localized states in the normal phase. The issue is important in high $T_c$ superconductors where a superconductor to insulator transition is…

Condensed Matter · Physics 2016-08-31 A. G. Rojo , C. A. Balseiro

The study published in IJMPD 27(4):1850040, 2018 provided a numerical result for the frequency-shift of GWs due to dispersion in interstellar medium. In order to adjust the metric functions of the originally improperly matched `background'…

General Relativity and Quantum Cosmology · Physics 2020-10-29 Dániel Barta , Mátyás Vasúth

Using a renormalization group approach, we determine the phase diagram of an extended quasi-one-dimensional electron gas model that includes interchain hopping, nesting deviations and both intrachain and interchain repulsive interactions.…

Strongly Correlated Electrons · Physics 2007-05-23 J. C. Nickel , R. Duprat , C. Bourbonnais , N. Dupuis

This is erratum of the paper [Phys. Rev. Lett. {\bf 84}, 4260 (2000)]

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

It has been suggested that the ``pseudogap'' regime in cuprate superconductors, extending up to hudreds of degrees into the normal phase, reflects an incoherent d-wave pairing, with local superconducting order coherent over a finite length…

Superconductivity · Physics 2007-05-23 Paul E. Lammert , Daniel S. Rokhsar

The phase-sensitive experiments on cuprate superconductors have told us about the symmetry of the condensate wavefunction. However, they can not determine the pairing symmetry of Cooper pairs. To describe a superconducting state, two…

Superconductivity · Physics 2007-05-23 Yunping Wang , Li Lu , Dianlin Zhang

Recently, complex phase transitions accompanied by the rotational symmetry breaking have been discovered experimentally in cuprate superconductors. To find the realized order parameters, we study various charge susceptibilities in an…

Strongly Correlated Electrons · Physics 2018-05-29 Masahisa Tsuchiizu , Kouki Kawaguchi , Youichi Yamakawa , Hiroshi Kontani

This erratum corrects the proof given in \cite{E1,E2} about the existence of $ 3D $ Skyrmions. This is done by changing the arguments of the proof while remaining in the same framework of concentration-compactness. Note however that the use…

Mathematical Physics · Physics 2009-11-10 Maria J. Esteban

This note is intended to emphasize the existence of estimated Feynman integrals in three dimensions for the free energy of the O(1) scalar theory up to five loops which may be useful for other work. We also correct some misprints of the…

High Energy Physics - Theory · Physics 2009-12-15 C. Bagnuls , C. Bervillier , D. I. Meiron , B. G. Nickel

A perturbation expansion is considered about the Ohta-Jasnow-Kawasaki theory of phase-ordering dynamics; the non-linear terms neglected in the OJK calculation are reinstated and treated as a perturbation to the linearised equation. The…

Condensed Matter · Physics 2009-10-31 C. L. Emmott

When Cooper pairs are formed with finite center-of-mass momentum, the defining characteristic is a spatially modulating superconducting energy gap $\Delta(r)$. Recently, this concept has been generalized to the pair density wave (PDW) state…

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

Differential Geometry · Mathematics 2018-08-23 Boris Botvinnik