It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is treated as an Einstein oscillator with restricted Hilbert space such that up to one-phonon process is taken into account. By eliminating the high energy pro...

Understanding the influence of phonon-mediated processes on grazing-incidence fast atom diffraction (GIFAD) patterns is relevant for its use as a surface analysis technique. In this work, we apply Phonon-Surface Initial Value Representation (P0-SIVR) approximation to study lattice vibration effects GIFAD He-LiF(001) system at room temperature. The P0-SIVR approach semiquantum method that descri...

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings perturbatively, whereas the coupling to vibrations is treated non-perturbatively in a polaron-transformed frame, we derive a thermodynamic consistent low-dimensional mas...

Properties of phonons-quanta of the crystal lattice vibrations-in graphene have recently attracted significant attention from the physics and engineering communities. Acoustic phonons are the main heat carriers in graphene near room temperature, while optical phonons are used for counting the number of atomic planes in Raman experiments with few-layer graphene. It was shown both theoretically a...

Although isolated nonhexagonal carbon rings in graphene are associated with strain relaxation and curvature, dense ordered arrangements of four-, five-, eight-membered strained carbon–carbon bonds can tile 2D planar layers. Using the Boltzmann transport equation formalism combination density functional theory calculations, how presence impacts thermal conductivity three allotropes: T-graphene (...

We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation. Surprisingly we find patterns reminiscent of more orderly interactions, such as a predominance of J = 0 ground states separated by a gap from the excited states, and evidence of phonon vibrations in the low-lying spectra. c ©1998...

The theory of the crystal-field splitting, V,, of the J = I level of an ortho impurity in a parahydl-ogen matrix, due to the coupling of the rotational motion of the ortho molecule to the lattice vibrations, is developed taking due account of the quantum-crystal nature of the solid. Two contl-ibutions to V, are identified, both arising from the anisotropy in the lattice vibrations. One contribu...