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Related papers: Effectiveness of the Self-Consistent Harmonic Appr…

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Over the years, the Self-Consistent Harmonic Approximation (SCHA) has been successfully utilized to determine the transition temperature of many different magnetic models, particularly the Berezinskii-Thouless-Kosterlitz transition in…

Strongly Correlated Electrons · Physics 2023-09-20 A. R. Moura

The Self-Consistent Harmonic Approximation (SCHA) has demonstrated efficacy in discerning phase transitions and, more recently, in elucidating coherent phenomena within ferromagnetic systems. However, a notable gap in understanding arises…

Strongly Correlated Electrons · Physics 2024-05-15 G. C. Villela , A. R. Moura

We applied the Self-Consistent Harmonic Approximation (SCHA), combined with coherent states formalism, to study the ferromagnetic resonance (FMR) in a ferromagentic/normal metal junction. Due to the interface interaction, the FMR-generated…

Strongly Correlated Electrons · Physics 2022-09-14 A. R. Moura

We consider the thermal softening of crystals due to anharmonicity. Self-consistent methods find a maximum temperature for a stable crystal, which gives an upper bound to the melting temperature. Previous workers have shown that the…

Statistical Mechanics · Physics 2007-05-23 M. J. W. Dodgson , V. B. Geshkenbein , M. V. Feigel'man , G. Blatter

In the paper we describe the modification of self-consistent harmonic approximation for quantum S=1 systems. This method has a number of advantages in comparison with usual SCHA. We apply the method to two-dimensional ferromagnets with…

Strongly Correlated Electrons · Physics 2007-05-23 D. V. Spirin

We apply the self-consistent harmonic approximation (SCHA) to study static and dynamic properties of the two-dimensional classical Heisenberg model with easy-axis anisotropy. The static properties obtained are magnetization and spin wave…

Condensed Matter · Physics 2009-10-31 M. E. Gouvea , G. M. Wysin , S. A. Leonel , A. S. T. Pires , T. Kamppeter , F. G. Mertens

The self-consisted harmonic approximation (SCHA) allows the computation of free energy of anharmonic crystals considering both quantum and thermal fluctuations. Recently, a stochastic implementation of the SCHA has been developed, tailored…

Materials Science · Physics 2018-08-01 Lorenzo Monacelli , Ion Errea , Matteo Calandra , Francesco Mauri

The Self-Consistent Harmonic Approximation (SCHA) describes atoms in solids, including quantum fluctuations and anharmonic effects, in a non-perturbative way. It computes ionic free energy variationally, constraining the atomic…

Materials Science · Physics 2024-10-21 Antonio Siciliano , Lorenzo Monacelli , Francesco Mauri

A first-principles approach called the {\it{self-consistent quasiharmonic approximation}} (SC-QHA) method is formulated to calculate the thermal expansion, thermomechanics, and thermodynamic functions of solids at finite temperatures with…

Materials Science · Physics 2016-04-28 Liang-Feng Huang , Xue-Zeng Lu , Emrys Tennessen , James M. Rondinelli

We present the method of the self-consistent calculation of thermodynamical and correlation functions. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

Statistical Mechanics · Physics 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

In this work, a self-consistent thermodynamic approach to micromagnetism is presented. The magnetic degrees of freedom are modeled using the Landau-Lifshitz-Baryakhtar theory, that separates the different contributions to the magnetic…

Materials Science · Physics 2014-10-29 Mykola Dvornik , Arne Vansteenkiste , Bartel Van Waeyenberge

We study the two-dimensional Bose-Hubbard model with anisotropic hopping. Focusing on the effects of anisotropy on the superfluid properties such like the helicity modulus and the normal-to-superfluid (Berezinskii-Kosterlitz-Thouless, BKT)…

Quantum Gases · Physics 2014-12-02 Jhih-Shih You , Hao Lee , Shiang Fang , Miguel A. Cazalilla , Daw-Wei Wang

We present a micromagnetic formulation for modeling the magnetization dynamics and thermal equilibrium in ferrimagnetic materials at low and elevated temperatures. The formulation is based on a mean field approximation (MFA). In this…

Materials Science · Physics 2021-11-30 Marco Menarini , Vitaliy Lomakin

We consider a class of one-dimensional compass models with antisymmetric Dzyaloshinskii-Moriya exchange interaction in an external magnetic field. Based on the exact solution derived by means of Jordan-Wigner transformation, we study the…

Strongly Correlated Electrons · Physics 2014-09-23 Wen-Long You , Guang-Hua Liu , Peter Horsch , Andrzej M. Oleś

Magnetic properties of Fe, Co, and Ni at finite temperatures have been investigated on the basis of the first-principles dynamical CPA (Coherent Potential Approximation) combined with the LDA (Local Density Approximation) + $U$ Hamiltonian…

Strongly Correlated Electrons · Physics 2015-05-27 Yoshiro Kakehashi , M. Atiqur R. Patoary

Understanding and simulating the thermodynamic and dynamical properties of materials affected by strong ionic anharmonicity is a central challenge in material science. Much interest is in material displaying critical displacive behaviour,…

Materials Science · Physics 2025-04-18 Lorenzo Monacelli

Magnetic and electronic properties of the Hubbard model on the Bethe and fcc lattices in infinite dimensions have been investigated numerically on the basis of the dynamical coherent potential approximation (CPA) theory combined with the…

Strongly Correlated Electrons · Physics 2011-04-22 Toshihito Tamashiro , Shota Nohara , Keisuke Miyagi , Yoshiro Kakehashi

A method of the self-consistent calculation of the thermodynamical and correlation functions is presented. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

Superconductivity · Physics 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to classical-like calculations, we take advantage of Fisher's…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Paola Verrucchi , Ruggero Vaia

Thermodynamic properties of cubic Heisenberg ferromagnets with competing exchange interactions are considered near the frustration point where the coefficient $D$ in the spin-wave spectrum $E_{\mathbf{k}}\sim D k^{2}$ vanishes. Within the…

Strongly Correlated Electrons · Physics 2015-04-21 A. N. Ignatenko , A. A. Katanin , V. Yu. Irkhin
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