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In this paper, we provide the exact expression for the coefficients in the low-temperature series expansion of the partition function of the two-dimensional Ising model on the infinite square lattice. This is equivalent to exact…

Mathematical Physics · Physics 2015-04-16 Grzegorz Siudem , Agata Fronczak , Piotr Fronczak

A model is constructed in which pair potentials are combined with the cluster expansion method in order to better describe the energetics of structurally relaxed substitutional alloys. The effect of structural relaxations away from the…

Materials Science · Physics 2012-03-06 H. Y. Geng , M. H. F. Sluiter , N. X. Chen

A complete numerical implementation, in both singlet and non-singlet sectors, of a very elegant method to solve the QCD Evolution equations, due to Furmanski and Petronzio, is presented. The algorithm is directly implemented in x-space by a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano , Cetin Savkli

Ternary-based InAs/InAs1-xSbx Strained-Layer Superlattice (SLS)material with type-II band alignment belongs to the 6.1 A family with reasonably small lattice mismatch with GaSb substrate for epitaxial growth. InAs/InAs1-xSbx SLS have been…

Materials Science · Physics 2025-07-18 Arash Dehzangi , Jiakai Li

As one of the most robust global optimization methods, simulated annealing has received considerable attention, with many variations that attempt to improve the cooling schedule. This paper introduces a variant of simulated annealing that…

Chemical Physics · Physics 2020-02-17 Mariia Karabin , Steven J. Stuart

The well defined selection function of the XMM-LSS survey enables a simultaneous modelling of the observed cluster number counts and of the evolution of the L-T relation. We present results pertaining to the first 5 deg2 for a well…

Astrophysics · Physics 2015-12-15 M. Pierre , F. Pacaud , J. B. Melin , the XMM-LSS consortium

This comment regards a central aspect of the referred-to paper, the issue of convergence of the large coordination-number expansion. Perturbation expansions of expressions containing a large number of parameters are generally invalid due to…

Other Condensed Matter · Physics 2017-09-12 D. Psiachos

Several ground state properties of the square-lattice $S=1/2$ Heisenberg antiferromagnet are computed (the energy, order parameter, spin stiffness, spinwave velocity, long-wavelength susceptibility, and staggered susceptibility) using…

Strongly Correlated Electrons · Physics 2026-04-16 Anders W. Sandvik

We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has little or no critical slowing-down when 1 \le n \le 2. We use…

Statistical Mechanics · Physics 2008-11-26 Youjin Deng , Timothy M. Garoni , Wenan Guo , Henk W. J. Blote , Alan D. Sokal

We study the strong coupling behaviour of fixed length single trace operators in the scalar SU(2) sector of ${\cal N} = 4$ SYM. We assume the recently proposed connection with a twisted half-filled Hubbard model. By explicit direct…

High Energy Physics - Theory · Physics 2009-11-11 Matteo Beccaria , Carmine Ortix

We present a network architecture for processing point clouds that directly operates on a collection of points represented as a sparse set of samples in a high-dimensional lattice. Naively applying convolutions on this lattice scales…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Hang Su , Varun Jampani , Deqing Sun , Subhransu Maji , Evangelos Kalogerakis , Ming-Hsuan Yang , Jan Kautz

Combinatorial methods are developed to find the cluster coordinates for moduli space of flat connections which is describing the Coulomb branch of higher rank N=2 theories derived by compactifying six dimensional (2,0) theory on a punctured…

High Energy Physics - Theory · Physics 2012-07-18 Dan Xie

An approximate but straight forward projection method to molecular many alpha-particle states is proposed and the overlap to the shell model space is determined. The resulting space is in accordance with the shell model, but still contains…

Nuclear Theory · Physics 2021-10-13 J. R. M. Berriel-Aguayo , P. O. Hess

The variational cluster approximation is used to study the frustrated Hubbard model at half filling defined on the two-dimensional square lattice with anisotropic next-nearest-neighbor hopping parameters. We calculate the ground-state phase…

Strongly Correlated Electrons · Physics 2017-02-02 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories. The analytic mappings between the effective couplings and the original one,…

High Energy Physics - Lattice · Physics 2011-11-08 Stefano Lottini , Owe Philipsen , Jens Langelage

We propose a lattice-theoretic framework for modulo sampling of multidimensional bandlimited signals. Standard modulo analog-to-digital converters (ADCs) fold the signal component-wise into a square domain, reducing the recovery problem to…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Yhonatan Kvich , Yonina C. Eldar

This article concerns the dimension reduction in regression for large data set. We introduce a new method based on the sliced inverse regression approach, called cluster-based regularized sliced inverse regression. Our method not only keeps…

Applications · Statistics 2013-12-03 Yue Yu , Zhihong Chen , Jie Yang

We study the optimal packing of short, hard spherocylinders confined to lie tangential to a spherical surface, using simulated annealing and molecular dynamics simulations. For clusters of up to twelve particles, we map out the changes in…

Soft Condensed Matter · Physics 2016-05-25 Frank Smallenburg , Hartmut Löwen

Gupta et al. [1, 2] describe a very beautiful application of algebraic geometry to lattice structures composed of quadric of revolution (quador) implicit surfaces. However, the shapes created have concave edges where the stubs meet, and…

Graphics · Computer Science 2019-09-27 Fehmi Cirak , Malcolm Sabin

For arbitrary space dimension $d$ we investigate the quantum phase transitions of two paradigmatic spin models defined on a hypercubic lattice, the coupled-dimer Heisenberg model and the transverse-field Ising model. To this end high-order…

Strongly Correlated Electrons · Physics 2016-09-14 K. Coester , D. G. Joshi , M. Vojta , K. P. Schmidt
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