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An extended atomistic spin model allowing for studies of the finite temperature magnetic properties of alloys is proposed. The model is obtained by extending the Heisenberg Hamiltonian via a parameterization from a first principles basis,…

Computational Physics · Physics 2017-06-07 Fan Pan , Jonathan Chico , Anna Delin , Anders Bergman , Lars Bergqvist

We start with a revision study of two coupled spin-$1/2$ under the influence of Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interaction and a magnetic field. We first show the role of idle levels, i.e., levels that do not couple to the…

Quantum Physics · Physics 2023-04-12 Abdelkader El Makouri , Abdallah Slaoui , Mohammed Daoud

We derive a master equation for the dynamical spin-spin correlation functions of the XXZ spin-1/2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit, we obtain their multiple integral representation.

High Energy Physics - Theory · Physics 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Theoretical prediction of the 2nd-order magnetic transition temperature (TM) used to be arduous. Here, we develop a first principle-based, fully automatic structure-to-TM method for two-dimensional (2D) magnets whose effective Hamiltonians…

Materials Science · Physics 2023-12-08 Haichang Lu , Tai Yang , Zhimei Sun , John Robertson , Weisheng Zhao

We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal matrix type. Since the spins are continuous and the…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Coolen , N. S. Skantzos , I. Perez Castillo , C. J. Perez Vicente , J. P. L. Hatchett , B. Wemmenhove , T. Nikoletopoulos

We rewrite the exact expression for the finite temperature two-point correlation function for the magnetization as a partition function of some field theory. This removes singularities and provides a convenient form to develop a virial…

Statistical Mechanics · Physics 2009-11-11 S. A. Reyes , A. M. Tsvelik

This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent material properties and nonlinear Joule heating. The innovative…

Numerical Analysis · Mathematics 2025-01-24 Hao Dong , Zongze Yang , Yufeng Nie

We present several finite-temperature recursive Fermi-operator expansion schemes based on the second-order spectral projection (SP2) method. Our approach builds on a previous observation that the electronic structure problem, as formulated…

The formalism developed in the first paper of the series [arXiv:0901.1060] is applied to two thermodynamic systems: (i) of three global observables (the energy, the total electron number and the spin number), (ii) of one global observable…

Chemical Physics · Physics 2013-10-28 Robert Balawender , Andrzej Holas

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in the imaginary-time formalism. We present a rigorous proof that this quantum field theory is renormalizable, to all orders of the loop expansion. Our main point is to…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Kopper , Volkhard F. Müller , Thomas Reisz

We have carried out extensive series studies, at T=0 and at high temperatures, of 2-chain and 3-chain spin-half ladder systems with antiferromagnetic intrachain and both antiferromagnetic and ferromagnetic interchain couplings. Our results…

Condensed Matter · Physics 2009-10-28 J. Oitmaa , Rajiv R. P Singh , Zheng Weihong

This is a historical note. In 1993 we calculated space, time and temperature dependent correlation function in isotropic version of one dimensional XY spin chain. The correlation function decays exponentially with time and space separation.…

Quantum Physics · Physics 2015-05-14 A. Its , A. Izergin , V. Korepin , N. Slavnov

We study numerically the magnetic susceptibility of the hierarchical model with Ising spins ($\sigma =\pm 1$) above the critical temperature and for two values of the epsilon parameter. The integrations are performed exactly, using…

High Energy Physics - Lattice · Physics 2009-10-22 Y. Meurice , G. Ordaz , V. G. J. Rodgers

Magnetostriction and thermal expansion of the spin-ladder compound piperidinium copper bromide (C$_5$H$_{12}$N)$_2$CuBr$_4$ are analyzed in detail. We find perfect agreement between experiments and the theory of a two-leg spin ladder…

Strongly Correlated Electrons · Physics 2009-11-13 Fabrizio Anfuso , Markus Garst , Achim Rosch , Oliver Heyer , Thomas Lorenz , Christian Ruegg , Karl Kraemer

We calculate 800 coefficients of the high-temperature expansion of the magnetic susceptibility of Dyson's hierarchical model with a Landau-Ginzburg measure. Log-periodic corrections to the scaling laws appear as in the case of a Ising…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Meurice , S. Niermann , G. Ordaz

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m,…

High Energy Physics - Theory · Physics 2011-07-19 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property…

Statistical Mechanics · Physics 2018-01-10 Alberto Biella , Jiasen Jin , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We develop a simple technique for calculation of next to nearest neighbor spin-spin and chiral-spin correlation functions in inhomogeneous XXX model. Exact expression of the chiral-spin order parameter as a function of the model parameter,…

Strongly Correlated Electrons · Physics 2009-11-13 V. V. Mkhitaryan , A. G. Sedrakyan

We use a second-order rotational invariant Green's function method (RGM) and the high-temperature expansion (HTE) to calculate the thermodynamic properties, of the kagome-lattice spin-$S$ Heisenberg antiferromagnet with nearest-neighbor…

Strongly Correlated Electrons · Physics 2018-07-25 P. Müller , A. Zander , J. Richter
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