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In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite $B_2$-crystals, which was declared but not clarified at some moments there. Also we correct…

Combinatorics · Mathematics 2020-02-13 Vladimir Danilov , Alexander Karzanov , Gleb Koshevoy

There is growing evidence that the unconventional spatial inhomogeneities in the doped high-Tc superconductors are accompanied by the pairing of electrons, subsequent quantum phase transitions (QPTs), and condensation in coherent states. We…

Strongly Correlated Electrons · Physics 2012-11-12 Kun Fang , G. W. Fernando , A. V. Balatsky , A. N. Kocharian , Kalum Palandage

We improve the Bardeen-Cooper-Schrieffer wave function with a fixed particle number so as to incorporate many-body correlations beyond the mean-field treatment. It is shown that the correlations lower the ground-state energy far more than…

Superconductivity · Physics 2018-09-12 Xiaotian Si , Wataru Kohno , Takafumi Kita

Determining the exact pairing symmetry of the superconducting order parameter in candidate unconventional superconductors remains an important challenge. Recently a new method, based on phase sensitive quasiparticle interference…

We show that the nodal quasiparticles have significant effect on the classical phase fluctuations in a quasi-two-dimensional d-wave superconductor. They give rise to singularities in the temperature behavior of some of the coupling…

Superconductivity · Physics 2009-11-10 K. V. Samokhin , B. Mitrovic

The pseudogap phase of the cuprate superconductors is argued to be characterized by a hidden broken symmetry of d-wave character in the particle-hole channel that leads to staggered orbital magnetism. This proposal has many striking…

Superconductivity · Physics 2009-11-07 Sudip Chakravarty , Hae-Young Kee , Chetan Nayak

We show that a novel rectification phenomena is possible for overdamped particles interacting with a 2D periodic substrate and driven with a longitudinal DC drive and a circular AC drive. As a function of DC amplitude, the longitudinal…

Statistical Mechanics · Physics 2009-11-07 C. Reichhardt , C. J. Olson , M. B. Hastings

The implications of a numerical error in the photon production rate on the direct photon spectrum of a chemically non-equilibrated quark-gluon plasma are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 Munshi G. Mustafa , Markus H. Thoma

After the publication of [Compos. Math. 156 (2020), no. 4, 822-861], Andrew Putman pointed out a mistake in our paper and helped us fix it. In this note, we will explain what this mistake is and how to fix it.

Algebraic Topology · Mathematics 2025-08-22 Jeremy Miller , Rohit Nagpal , Peter Patzt

Planar travelling waves on $\mathbb R^d,$ with $ d\geq 2,$ are shown to persist in systems of reaction-diffusion equations with multiplicative noise on significantly long timescales with high probability, provided that the wave is orbitally…

Analysis of PDEs · Mathematics 2025-04-15 Mark van den Bosch , Hermen Jan Hupkes

In the erratum we correct a mistake (due to a wrong choice of basic polynomial invariants over Z[1/2]) in the original paper (v1). Using the correct basic polynomial invariants we improve our results and bounds on the annihilator. We also…

Algebraic Geometry · Mathematics 2015-08-05 Sanghoon Baek , Kirill Zainoulline , Changlong Zhong

We study the effects of low-energy nodal quasiparticles on the classical phase fluctuations in a two-dimensional d-wave superconductor. The singularities of the phase-only action at T\to 0 are removed in the presence of disorder, which…

Superconductivity · Physics 2009-11-11 K. V. Samokhin , B. Mitrovic

The formulas in the above Erratum are corrected.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo

We correct an error in our treatment of the tadpole contribution to the fluctuation determinant of the sphaleron, and also a minor mistake in a previous estimate. Thereby the overall agreement between the two existing exact computations and…

High Energy Physics - Theory · Physics 2009-10-28 J. Baacke , S. Junker

The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\lambda(\xi)$ in (7.1) without Proposition 7.2;…

Representation Theory · Mathematics 2017-07-18 Jing-Song Huang

We use a symmetry-constrained variational procedure to construct a generalization of BCS to include Cooper pairs with non-zero momentum and angular momentum. The resulting gap equations are solved at zero and finite temperature, and the…

Superconductivity · Physics 2008-11-26 Yang Sun , Mike Guidry , Cheng-Li Wu

We study the order parameter phase fluctuation effects in cuprate superconductors near T=0, using a quasi-two-dimensional d-wave BCS model. An effective phason theory is obtained which is used to estimate the strength of the fluctuations,…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey , P. J. Hirschfeld

The issue of probing the pseudogap regime of the cuprate superconductors, specifically with regard to the existence and nature of superconducting pairing correlations of d-wave symmetry, is explored theoretically. It is shown that if the…

Superconductivity · Physics 2009-11-07 Daniel E. Sheehy , Inanc Adagideli , Paul M. Goldbart , Ali Yazdani

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso