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Although the rutile structure of TiO$_2$ is stable at high temperatures, the conventional quasiharmonic approximation predicts that several acoustic phonons decrease anomalously to zero frequency with thermal expansion, incorrectly…

Materials Science · Physics 2015-08-19 Tian Lan , C. W. Li , O. Hellman , D. Kim , J. A. Muñoz , H. Smith , D. L. Abernathy , B. Fultz

The gradient expansion of the kinetic energy functional, when applied for atoms or finite systems, usually grossly overestimates the energy in the fourth order and generally diverges in the sixth order. We avoid the divergence of the…

Quantum Physics · Physics 2015-08-28 A. Sergeev , R. Jovanovic , S. Kais , F. H. Alharbi

In the half-filled one-orbital Hubbard model on a square lattice, we find pseduogap features in the form of two-peak structures associated with the momentum-resolved spectral function, which exists within the temperature window $T_N…

Strongly Correlated Electrons · Physics 2022-11-22 Harun Al Rashid , Dheeraj Kumar Singh

The Weyl-Wigner representation of quantum mechanics allows one to map the density operator in a function in phase space - the Wigner function - which acts like a probability distribution. In the context of statistical mechanics, this…

Quantum Physics · Physics 2023-08-31 Marcos Gil de Oliveira , Alfredo Miguel Ozorio de Almeida

A well-known difficulty of perturbative approaches to quantum field theory at finite temperature is the necessity to address theoretical constraints that are not present in the vacuum theory. In this work, we use lattice simulations of…

High Energy Physics - Phenomenology · Physics 2024-08-30 Peter Lowdon , Owe Philipsen

Applying the path integral formalism we study the equilibrium thermodynamics of the phonon field both in the Holstein and in the Su-Schrieffer-Heeger models. The anharmonic cumulant series, dependent on the peculiar source currents of the…

Statistical Mechanics · Physics 2009-11-10 Marco Zoli

We study the six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling based on the twisted Z_4-symmetric integrable model. The lattice regularization allows us to derive the associated thermodynamic Bethe…

High Energy Physics - Theory · Physics 2015-06-22 Yasuyuki Hatsuda , Katsushi Ito , Yuji Satoh , Junji Suzuki

We present a first-principles lattice calculations to comprehend the thermal expansion $\alpha(T)$ and lattice thermal conductivity $\kappa_{ph}$ of ScAgC. The obtained positive frequencies of phonon dispersion shows the dynamical stability…

Strongly Correlated Electrons · Physics 2025-03-04 Vinod Kumar Solet , Sudhir Kumar Pandey

We study the thermal conductivity of amorphous solids by constructing a continuum model whose degrees of freedom are propagating vibrational modes (phonons) and extended Volterra dislocation line defects with their own vibrational degrees…

Materials Science · Physics 2026-01-21 Fernando Lund , Bruno Scheihing-Hitschfeld

Nuclear response theory beyond the one-loop approximation is formulated for the case of finite temperature. For this purpose, the time blocking approximation to the time-dependent part of the in-medium nucleon-nucleon interaction amplitude…

Nuclear Theory · Physics 2018-08-29 Elena Litvinova , Herlik Wibowo

Understanding and predicting lattice dynamics in strongly anharmonic crystals is one of the long-standing challenges in condensed matter physics. Here we propose a first-principles method that gives accurate quasiparticle (QP) peaks of the…

Materials Science · Physics 2022-11-09 Terumasa Tadano , Wissam A. Saidi

We present a novel approach to efficiently implement thermal expansion in the quasi-harmonic approximation (QHA) for both isotropic and more importantly, anisotropic expansion. In this approach, we rapidly determine a crystal's equilibrium…

Materials Science · Physics 2022-12-19 Nathan S. Abraham , Michael R. Shirts

In this paper, we study the thermodynamical properties of the classical one-dimensional Klein-Gordan lattice model ($n \ge 2$) by using the cluster variation method with linear response theory. The results of this method are exact in the…

Statistical Mechanics · Physics 2024-10-28 Hu-Wei Jia , Ning-Hua Tong

We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to $x^{\alpha}$ for $x>0$; the limit…

Mathematical Physics · Physics 2013-06-05 F. D. Mera , S. A. Fulling , J. D. Bouas , K. Thapa

For thermal systems, standard perturbation theory breaks down because of the absence of stable, observable asymptotic states. We show, how the introduction of {\it statistical} quasi-particles (stable, but not observable) gives rise to a…

Nuclear Theory · Physics 2009-10-22 P. A. Henning , H. Umezawa

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the characteristics of eigenmodes. Namely, based on the presence and…

Statistical Mechanics · Physics 2025-02-18 Wei Lin , Weicheng Fu , Zhen Wang , Yong Zhang , Hong Zhao

The dynamical properties of nuclei, carried by the concept of phonon quasiparticles (QP), are central to the field of condensed matter. While the harmonic approximation can reproduce a number of properties observed in real crystals, the…

Materials Science · Physics 2023-12-19 Aloïs Castellano , J. P. Alvarinhas Batista , Matthieu J. Verstraete

We study the spectral properties of an overoccupied gluonic system far from equilibrium. Using classical Yang-Mills simulations and linear response theory, we determine the statistical and spectral functions. We measure dispersion relations…

High Energy Physics - Phenomenology · Physics 2019-07-24 K. Boguslavski , A. Kurkela , T. Lappi , J. Peuron

Using the Feynman-Pines diagram technique, the energy spectrum of localized quasi-particles interacting with polarization phonons is calculated and analyzed in the wide range of energies at the finite temperature of the system. It is…

Strongly Correlated Electrons · Physics 2017-02-13 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk