2023
DOI: 10.1103/physrevb.107.174307
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Wigner Gaussian dynamics: Simulating the anharmonic and quantum ionic motion

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Cited by 10 publications
(4 citation statements)
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“…From here, we can go a step further and include some terms of the higher orders in the perturbation theory that stem from third and fourthorder anharmonic force constants (renormalized by anharmonicity as explained above), which are consistent with SSCHA [54][55][56][57] . The phonon Green's function (G μμ 0 ðq; ωÞ) in this case can be expressed as: G μμ 0 ðq; ΩÞ ¼ Ω 2 δ μμ 0 À D ð2Þ μμ 0 ðqÞ À Π μμ 0 ðq; ΩÞ h i À1 :…”
Section: Methodsmentioning
confidence: 94%
“…From here, we can go a step further and include some terms of the higher orders in the perturbation theory that stem from third and fourthorder anharmonic force constants (renormalized by anharmonicity as explained above), which are consistent with SSCHA [54][55][56][57] . The phonon Green's function (G μμ 0 ðq; ωÞ) in this case can be expressed as: G μμ 0 ðq; ΩÞ ¼ Ω 2 δ μμ 0 À D ð2Þ μμ 0 ðqÞ À Π μμ 0 ðq; ΩÞ h i À1 :…”
Section: Methodsmentioning
confidence: 94%
“…An ab initio estimation of the effective nonlinear coupling is needed to estimate the relative weights of the IKE and the EKE in a rigorous way. This would require a state-of-the-art extension of the available density functional theory (DFT) codes, which has been investigated only recently 60 and goes far beyond the scope of this work. For this reason, in the main text we decided to model the full Kerr response with only the electronic contribution by assuming that the ionic contribution has a similar spectral content, so as not to introduce any free adjustable parameter into our simulations.…”
Section: Methodsmentioning
confidence: 99%
“…Typically, variational approaches such as the selfconsistent harmonic approximation (SCHA) [168][169][170] are employed in non-perturbative settings. In the last couple of years, the method has also been generalized to include time dependent effects to simulate nuclear dynamics [171,172]. However, this approach is computationally intensive and a stochastic version of the SCHA (called the SSCHA) has been explored [167,[173][174][175][176] to determine anharmonic free energy, thermal transport and superconducting properties.…”
Section: Phonon Damping From First Principlesmentioning
confidence: 99%