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A previously proposed variational approach for momentum-conserving systems [J. Liu et.al., Phys. Rev. E 91, 042910 (2015)] is extended to systematically investigate general momentum-nonconserving nonlinear lattices. Two intrinsic identities…

Statistical Mechanics · Physics 2016-09-20 Junjie Liu , Baowen Li , Changqin Wu

We study linear transmission and nonlinear soliton transport through quasi-periodic structures, which profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov

Starting from the quantum Liouville equation for the density operator and applying the Weyl quantization, Wigner equations for the longitudinal and transversal optical and acoustic phonons are deduced. The equations are valid for any solid,…

Mathematical Physics · Physics 2023-01-03 Vito Dario Camiola , Giorgia Vitanza , Vittorio Romano

We investigate coherent control of single particles held in a bipartite optical lattice via a combined high-frequency modulation. Our analytical results show that for the photon resonance case the quantum tunneling and dynamical…

Quantum Physics · Physics 2015-06-16 Kuo Hai , Yunrong Luo , Gengbiao Lu , Wenhua Hai

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We present a comprehensive investigation of lattice dynamics in the double-helix antiferromagnet FeP by means of high-resolution time-of-flight neutron spectroscopy and ab-initio calculations. Phonons can hybridize with the magnetic…

One of the fundamental properties of semiconductors is their ability to support highly tunable electric currents in the presence of electric fields or carrier concentration gradients. These properties are described by transport coefficients…

Materials Science · Physics 2020-02-19 Samuel Poncé , Wenbin Li , Sven Reichardt , Feliciano Giustino

We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

The alloys with 8/18/24 valence electron count (VEC) are promising candidates for efficient energy conversion and refrigeration applications at low as well as high temperatures. The full potential linearized augmented plane wave method as…

Materials Science · Physics 2022-05-17 Mukesh K. Choudhary , H. Fjellvåg , P. Ravindran

We present a fast and stable numerical technique to obtain the self-energy terms of electrodes for first-principles electron-transport calculations. Although first-principles calculations based on the real-space finite-difference method are…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Tomoya Ono , Shigeru Tsukamoto

It is well known that conventional harmonic lattice dynamics cannot be applied to energetically unstable crystals at 0 K, such as high temperature body centered cubic (BCC) phase of crystalline Zr. Predicting phonon spectra at finite…

Materials Science · Physics 2019-01-02 Xin Qian , Ronggui Yang

High-level vibrational calculations have been used to investigate anharmonicity in a wide variety of materials using density-functional-theory (DFT) methods. We have developed a new and efficient approach for describing strongly-anharmonic…

Materials Science · Physics 2017-06-20 Joseph C. A. Prentice , R. J. Needs

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

Quantum Physics · Physics 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

The thermal properties of graphitic ribbon are investigated based on Brenner's empirical potential. The reliability and usefulness of the empirical potential to address the thermal properties of covalent-bonded carbon nanostructures are…

Materials Science · Physics 2009-11-10 Takahiro Yamamoto , Kazuaki Mii , Kazuyuki Watanabe

Two different heat-transport mechanisms are discussed in solids: in crystals, heat carriers propagate and scatter particle-like as described by Peierls' formulation of the Boltzmann transport equation for phonon wavepackets. In glasses,…

Materials Science · Physics 2022-07-12 Michele Simoncelli , Nicola Marzari , Francesco Mauri

Efficient Boltzmann-sampling using first-principles methods is challenging for extended systems due to the steep scaling of electronic structure methods with the system size. Stochastic approaches provide a gentler system-size dependency at…

Computational Physics · Physics 2020-05-20 Eitam Arnon , Eran Rabani , Daniel Neuhauser , Roi Baer

There has been great interest in two-dimensional materials, beyond graphene, for both fundamental sciences and technological applications. Silicene, a silicon counterpart of graphene, has been shown to possess some better electronic…

Materials Science · Physics 2015-01-13 Xiaokun Gu , Ronggui Yang

The electronic and vibrational properties of 2D materials are dramatically altered by the formation of a moir\'e superlattice. The lowest-energy phonon modes of the superlattice are two acoustic branches (called phasons) that describe the…

We demonstrate a first-principles method to study magnetotransport in materials by solving the Boltzmann transport equation (BTE) in the presence of an external magnetic field. Our approach employs ab initio electron-phonon interactions and…

Materials Science · Physics 2021-04-14 Dhruv C. Desai , Bahdan Zviazhynski , Jin-Jian Zhou , Marco Bernardi

Phonons, quantized vibrations of the atomic lattice, are fundamental to understanding thermal transport, structural stability, and phase behavior in crystalline solids. Despite advances in computational materials science, most predictions…

Materials Science · Physics 2026-01-15 Huiju Lee , Zhi Li , Jiangang he , Yi Xia
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