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In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian framework. Here, the focus is on…

Numerical Analysis · Mathematics 2020-06-22 Amirreza Khodadadian , Nima Noii , Maryam Parvizi , Mostafa Abbaszadeh , Thomas Wick , Clemens Heitzinger

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

We investigate the microscopic model for the frustrated layered antiferromagnets Cs2CuCl4 and Cs2CuBr4 by performing ab initio density functional theory (DFT) calculations and with the help of the tight-binding method. The combination of…

Strongly Correlated Electrons · Physics 2009-11-13 K. Foyevtsova , Y. Zhang , H. O. Jeschke , R. Valenti

Generally, the first step in modeling molecular magnets involves obtaining the low-lying eigenstates of a Heisenberg exchange Hamiltonian which conserves total spin and belongs usually to a non-Abelian point group. In quantum chemistry, it…

Chemical Physics · Physics 2012-06-07 Shaon Sahoo , Raghunathan Rajamani , S. Ramasesha , Diptiman Sen

Spontaneous symmetry breaking (SSB) is the cornerstone of our understanding of quantum phases of matter. Recent works have generalized this concept to the domain of mixed states in open quantum systems, where symmetries can be realized in…

Quantum Physics · Physics 2025-12-30 Xiaozhou Feng , Zihan Cheng , Matteo Ippoliti

Motivated by the first measurement on $\mathcal{B}(B_s\to\phi \mu^+\mu^-)$ by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic $B_s\to\phi\mu^+\mu^-$ decay. In our evaluations, we analyze the dependences of the…

High Energy Physics - Phenomenology · Physics 2015-06-16 Yuan-Guo Xu , Li-Hai Zhou , Bing-Zhong Li , Ru-Min Wang

The method of large spin perturbation theory allows to analyse conformal field theories (CFT) by turning the crossing equations into an algebraic problem. We apply this method to a generic CFT with weakly broken higher spin (HS) symmetry,…

High Energy Physics - Theory · Physics 2017-11-22 Luis F. Alday

The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is employed to approximate the inhomogeneous terms via the dual…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 W. Chen

The QCD-string model for baryons derived by Simonov and used for the calculation of baryon magnetic moments in a previous paper is extended to include also perturbative gluon and meson exchanges. The mass spectrum of the baryon multiplet is…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Weda , J. A. Tjon

A novel approach to electronic correlations in magnetic crystals which takes into account a dynamical many-body effects is present. In order to to find a frequency dependence of the electron self energy, an effective quantum-impurity…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson

The one-dimensional spin-$s$ ${\rm SU}(2)$ ferromagnetic Heisenberg model, as a paradigmatic example for spontaneous symmetry breaking (SSB) with type-B Goldstone modes (GMs), is expected to exhibit an abstract fractal underlying the ground…

Quantum Physics · Physics 2025-09-26 Huan-Qiang Zhou , Qian-Qian Shi , John O. Fjærestad , Ian P. McCulloch

Spontaneous symmetry breaking (SSB) for Bose-Einstein condensates cannot treat phase off-diagonal effects, and thus not explain Bell inequality violations. We describe another situation that is beyond a SSB treatment: an experiment where…

Quantum Physics · Physics 2010-04-22 W. J. Mullin , F. Laloë

In this study, we use Hubbard-Corrected density functional theory (DFT+$U$) to derive spin model Hamiltonians consisting of Heisenberg exchange interactions up to the fourth nearest neighbors and bi-quadratic interactions. We map the…

Materials Science · Physics 2023-05-03 Mojtaba Alaei , Homa Karimi

We address symmetry breaking bifurcations (SBBs) in the ground-state (GS) and dipole-mode (DM) solitons of the 1D linearly coupled NLS equations, modeling the propagation of light in a dual-core planar waveguide with the Kerr nonlinearity…

Pattern Formation and Solitons · Physics 2024-09-04 Jin Song , Boris A. Malomed , Zhenya Yan

Recent experiments on triangular lattice organic Mott insulators have found evidence for a 2D spin liquid in proximity to the metal-insulator transition. A Gutzwiller wavefunction study of the triangular lattice Heisenberg model with…

Strongly Correlated Electrons · Physics 2013-05-29 D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We have used a many-body model Hamiltonian to study the nature of the magnetic ground state of hetero-binuclear complexes involving rare-earth and copper ions. We have taken into account all diagonal repulsions involving the rare-earth 4f…

Strongly Correlated Electrons · Physics 2009-11-07 Indranil Rudra , C. Raghu , S. Ramasesha

We investigate the S=1 antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters, the level spectroscopy analysis, and the…

Strongly Correlated Electrons · Physics 2023-11-27 Tôru Sakai , Kiyomi Okamoto , Kouichi Okunishi , Masaru Hashimoto , Tomoki Houda , Rito Furuchi , Hiroki Nakano

Using an approach that allows us to probe the electronic structure of strongly pinched-off quantum point contacts (QPCs), we provide evidence for the formation of self-consistently realized bound states (BSs) in these structures. Our…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Yoon , L. Mourokh , T. Morimoto , N. Aoki , Y. Ochiai , J. L. Reno , J. P. Bird

We present a multi-reference configuration mixing scheme for describing ground and excited states, with well defined spin and space group symmetry quantum numbers, of the one-dimensional Hubbard model with nearest-neighbor hopping and…

Strongly Correlated Electrons · Physics 2013-06-28 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , R. Schutski , Gustavo E. Scuseria

Magnet error driven resonances under space-charge-induced resonance crossing represents a significant limitation on beam intensity in low-injection-energy high-intensity synchrotrons. Unstable particle motion arises from the combined…

Accelerator Physics · Physics 2025-07-08 Cheng Guo , Jie Liu , Jiancheng Yang , Ruihu Zhu