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Using the group theory and the method of invariants, it is shown how the vibronic potential can be written in a matrix form and the corresponding adiabatic potentials can be found. The molecule having $D_{3d}$ symmetry is considered herein…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 S. A. Bercha , V. M. Rizak

Theories describing electrical transport in semiconductor superlattices can essentially be divided in three disjoint categories: i) transport in a miniband; ii) hopping between Wannier-Stark ladders; and iii) sequential tunneling. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andreas Wacker , Antti-Pekka Jauho

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2009-04-10 G. Trambly de Laissardière , J. P. Julien , D. Mayou

A standard drift-diffusion model of space charge wave propagation in semiconductors has been studied numerically and analytically under dc voltage bias. For sufficiently long samples, appropriate contact resistivity and applied voltage -…

Condensed Matter · Physics 2009-10-31 I. R. Cantalapiedra , M. J. Bergmann , L. L. Bonilla , S. W. Teitsworth

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

Statistical Mechanics · Physics 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schr\"odinger lattices with a disordered potential. A class of nonlinear lattices with subquadratic power nonlinearity is considered.…

Statistical Mechanics · Physics 2019-06-26 Alexander V. Milovanov , Alexander Iomin

In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schr\"odinger equation. In the present work, we present a systematic study of…

Pattern Formation and Solitons · Physics 2024-07-25 Ross Parker , Pierre Germain , Jesús Cuevas-Maraver , Alejandro Aceves , P. G. Kevrekidis

We unveil chaotic behavior hidden in the energy spectrum of a Jahn-Teller ion vibrating in a cubic anharmonic potential as a typical model for rattling in cage-structure materials. When we evaluate the nearest-neighbor level-spacing…

Materials Science · Physics 2018-09-14 Takashi Hotta , Akira Shudo

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

The current carried by a material subject to an electric field is microscopically inhomogeneous and can be modelled using scattering theory, in which electrons undergo collisions with the microscopic objects they encounter. We herein…

Materials Science · Physics 2018-10-16 Eleni Chatzikyriakou , Padeleimon Karafiloglou , Joseph Kioseoglou

A typical graphene heterojunction device can be divided into two classical zones, where the transport is basically diffusive, separated by a "quantum active region" (e.g., a locally gated region), where the charge carriers are scattered…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Luigi Barletti , Giovanni Nastasi , Claudia Negulescu , Vittorio Romano

The interaction between molecular (atomic) electron(s) and the vacuum field of a reflective cavity generates a significant interest thanks to the rapid developments in nanophotonics. Such interaction which lies within the realm of cavity…

Chemical Physics · Physics 2019-05-22 Alexander Semenov , Abraham Nitzan

Semiclassical periodic orbit theory is used in many branches of physics. However, most applications of the theory have been to systems which involve only single particle dynamics. In this work, we develop a semiclassical formalism to…

Chaotic Dynamics · Physics 2009-10-31 Jamal Sakhr , Niall D. Whelan

The multilayer multiconfiguration time-dependent Hartree method is employed to study vibrationally coupled charge transport in models of single molecule junctions. To increase the efficiency of the simulation method, a representation of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-12 Haobin Wang , Michael Thoss

We discuss the localization of wavefunctions along planes containing the shortest periodic orbits in a three-dimensional billiard system with axial symmetry. This model mimicks the self-consistent mean field of a heavy nucleus at…

Chaotic Dynamics · Physics 2009-10-31 M. Brack , M. Sieber , S. M. Reimann

Interstitial defects are inevitably present in doped semiconductors that enable modern-day electronic, optoelectronic or thermoelectric technologies. Understanding of stability of interstitials and their bonding mechanisms in the silicon…

Materials Science · Physics 2019-01-30 Vitaly S. Proshchenko , Pratik P. Dholabhai , Sanghamitra Neogi

The charge transport properties of hybrid halide perovskites are investigated with a combination of density functional theory including van der Waals interaction and the Boltzmann theory for diffusive transport in the relaxation time…

Materials Science · Physics 2016-01-29 Carlo Motta , Fedwa El Mellouhi , Stefano Sanvito

We consider a model of an electron in a crystal moving under the influence of an external electric field: Schroedinger's equation in one spatial dimension with a potential which is the sum of a periodic function $V$ and a smooth function…

Mathematical Physics · Physics 2022-08-23 Alexander B. Watson , Michael I. Weinstein

Stationary waves in the condensate of electron-hole pairs in the $n-p$ bilayer system are studied. The system demonstrates the transition from a uniform (superfluid) to a nonuniform (supersolid) state. The precursor of this transition is…

Mesoscale and Nanoscale Physics · Physics 2021-05-20 D. V. Fil , S. I. Shevchenko

A semiclassical model of charge transport in a semiconductor superlattice is solved, using moments in the wavenumber direction and finite elements in the spatial direction (first order). The selection of numerical methods guarantees the…

Mesoscale and Nanoscale Physics · Physics 2012-07-27 Yossi Farjoun , Luis L. Bonilla
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