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Electron pairing and ferromagnetism in various cluster geometries are studied with emphasis on tetrahedron and square pyramid under variation of interaction strength, electron doping and temperature. These exact calculations of charge and…

Strongly Correlated Electrons · Physics 2008-04-08 A. N. Kocharian , G. W. Fernando , K. Palandage , J. W. Davenport

We discuss the criteria to associate PSRs with SNRs, and summary 78 pairs of possible PSR-SNR associations which is the most complete sample so far. We refine them into three categories according to degree of reliability. Statistic study on…

High Energy Astrophysical Phenomena · Physics 2013-06-28 Hongquan Su , Qing-Kang Li , Hui Zhu , Wen-Wu Tian

We propose a streamlined combination scheme of the transcorrelation (TC) and coupled cluster (CC) theory, which not only increases the convergence rate with respect to the basis set, but also extends the applicability of the lowest order CC…

Strongly Correlated Electrons · Physics 2021-07-28 Ke Liao , Thomas Schraivogel , Hongjun Luo , Daniel Kats , Ali Alavi

Double-close-binary quadruples (2+2 systems) are hierarchical systems of four stars where two short-period binary systems move around their common center of mass on a wider orbit. Using Gaia Early Data Release 3, we search for comoving…

Solar and Stellar Astrophysics · Physics 2022-03-02 Gavin B. Fezenko , Hsiang-Chih Hwang , Nadia L. Zakamska

In 2011 Musiker, Schiffler and Williams obtained expansion formulae for cluster algebras from orientable surfaces. For singly and doubly notched arcs these formulae required the notion of $\gamma$-symmetric perfect matchings and…

Combinatorics · Mathematics 2020-07-01 Jon Wilson

We introduce a generic scheme to perform non-perturbative linked cluster expansions in long-range ordered quantum phases. Clusters are considered to be surrounded by an ordered reference state leading to effective edge-fields in the exact…

Strongly Correlated Electrons · Physics 2016-11-22 D. Ixert , K. P. Schmidt

Two distinct systems of commutative complex numbers in 6 dimensions of the polar and planar types of the form u=x_0+h_1x_1+h_2x_2+h_3x_3+h_4x_4+h_5x_5 are described in this work, where the variables x_0, x_1, x_2, x_3, x_4, x_5 are real…

Complex Variables · Mathematics 2007-05-23 Silviu Olariu

We study the orbital evolution of hierarchical quadruple systems composed of two binaries on a long mutual orbit, where each binary acts as a Kozai-Lidov (KL) perturber on the other. We find that the coupling between the two binaries…

Solar and Stellar Astrophysics · Physics 2014-05-28 Ondrej Pejcha , Joe M. Antognini , Benjamin J. Shappee , Todd A. Thompson

Spherically symmetric equal mass star clusters containing a large amount of primordial binaries are studied using a hybrid method, consisting of a gas dynamical model for single stars and a Monte Carlo treatment for relaxation of binaries…

Astrophysics · Physics 2011-07-19 M. Giersz , R. Spurzem

The finite field calculations are performed for two heavy frequency-standard candidates In$^+$ and Sr. The progressive hierarchy of electron correlations is implemented by the relativistic coupled-cluster and configuration interaction…

Atomic Physics · Physics 2015-12-09 Yan-mei Yu , Bing-bing Suo , Hui-hui Feng , Heng Fan , Wu-Ming Liu

We prove that random-cluster models with q larger than 1 on a variety of planar lattices have a sharp phase transition, that is that there exists some parameter p_c below which the model exhibits exponential decay and above which there…

Probability · Mathematics 2021-12-17 Hugo Duminil-Copin , Ioan Manolescu

We consider packings of congruent circles on a square flat torus, i.e., periodic (w.r.t. a square lattice) planar circle packings, with the maximal circle radius. This problem is interesting due to a practical reason - the problem of "super…

Metric Geometry · Mathematics 2016-07-21 Oleg R. Musin , Anton V. Nikitenko

We present an analytical proof and numerical demonstrations of the equivalence of the correlation energy from particle-particle random phase approximation (pp-RPA) and ladder-couple-cluster-doubles (ladder-CCD). These two theories reduce to…

Chemical Physics · Physics 2013-11-01 Degao Peng , Stephan N. Steinmann , Helen van Aggelen , Weitao Yang

In this paper, we study parallel algorithms for the correlation clustering problem, where every pair of two different entities is labeled with similar or dissimilar. The goal is to partition the entities into clusters to minimize the number…

Data Structures and Algorithms · Computer Science 2023-07-14 Nairen Cao , Shang-En Huang , Hsin-Hao Su

Two arrays form a periodic complementary pair if the sum of their periodic autocorrelations is a delta function. Finding such pairs, however, is challenging for large arrays whose entries are constrained to a small alphabet. One such…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Nitin Jonathan Myers , Robert W. Heath

The Atomic Cluster Expansion (Drautz, Phys. Rev. B 99, 2019) provides a framework to systematically derive polynomial basis functions for approximating isometry and permutation invariant functions, particularly with an eye to modelling…

Numerical Analysis · Mathematics 2021-05-13 Genevieve Dusson , Markus Bachmayr , Gabor Csanyi , Ralf Drautz , Simon Etter , Cas van der Oord , Christoph Ortner

One objective of this paper is to propose a novel class of sequence pairs, called "Quasi-orthogonal Z-complementary pairs (QOZCPs)", each depicting Z-complementary property for their aperiodic auto-correlation sums and also have a zero…

Information Theory · Computer Science 2020-05-05 Jiahuan Wang , Pingzhi Fan , Zhengchun Zhou , Yang Yang

The aim of this paper is to give analogs of the cluster expansion formula of Musiker and Schiffler for cluster algebras of type A with coefficients arising from boundary arcs of the corresponding triangulated polygon. Indeed, we give three…

Representation Theory · Mathematics 2019-05-23 Toshiya Yurikusa

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

Previous studies have shown that bipartite Hubbard systems with inhomogeneous hopping amplitudes can exhibit higher pair-binding energies than the uniform model. Here we examine whether this result holds for systems with a more generic band…

Superconductivity · Physics 2017-09-06 Gideon Wachtel , Shirit Baruch , Dror Orgad
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