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We present a theoretical framework to describe polarons from first principles within a many-body Green's function formalism. Starting from a general electron-phonon Hamiltonian, we derive a self-consistent Dyson equation in which the…

We construct a many-body model Hamiltonian to capture how phonons renormalize exciton binding as a function of temperature. By using the GW approximation and density functional perturbation theory, we are able to parameterize this…

Materials Science · Physics 2026-03-25 Rohit Rana , Eric R. Heller , Antonios M. Alvertis , Jeffrey B. Neaton , David T. Limmer

Starting from the recently proposed energy-based deviational formulation for solving the Boltzmann equation [J.-P. Peraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 2011], which provides significant computational speedup compared to…

Computational Physics · Physics 2015-06-05 Jean-Philippe Peraud , Nicolas Hadjiconstantinou

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

Following Feynman's treatment of the non-relativistic polaron problem, similar techniques are used to study relativistic field theories: after integrating out the bosonic degrees of freedom the resulting effective action is formulated in…

High Energy Physics - Theory · Physics 2007-05-23 R. Rosenfelder , C. Alexandrou , A. W. Schreiber

The behavior of charge carriers in polar materials is governed by electron-phonon interactions, which affect their mobilities via phonon scattering and may localize carriers into self-induced deformation fields, forming self-trapped…

Materials Science · Physics 2025-07-08 Vasilii Vasilchenko , Matteo Giantomassi , Samuel Poncé , Xavier Gonze

Simulations (e.g. Zhou et al., Phys. Rev. B 79, 115201 (2009)) show nonlocal effects of the ballistic/diffusive crossover. The local temperature has nonlinear spatial variation not contained in the local Fourier law…

Materials Science · Physics 2018-05-02 Philip B. Allen

Phosphorus has diverse chemical bonds and even in its two-dimensional form there are three stable allotropes: black phosphorene (Black-P), blue phosphorene (Blue-P), and violet phosphorene (Violet-P). Due to the complexity of these…

Computational Physics · Physics 2023-02-10 Penghua Ying , Ting Liang , Ke Xu , Jin Zhang , Jianbin Xu , Jianyang Wu , Zheyong Fan , Tapio Ala-Nissila , Zheng Zhong

We revisit the problem of transport of a harmonically driven inertial particle moving in a {\it symmetric} periodic potential, subjected to {\it unbiased} non-equilibrium generalized white Poissonian noise and coupled to thermal bath.…

Statistical Mechanics · Physics 2016-06-01 J. Spiechowicz , J. Luczka

We report on temperature dependence of acoustic phonon-induced resistance oscillations in very high mobility two-dimensional electron systems. We observe that the temperature dependence is non-monotonic and that higher order oscillations…

Mesoscale and Nanoscale Physics · Physics 2009-02-26 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West

We present the first unbiased results for the mobility $\mu$ of one-dimensional Holstein polaron obtained by numerical analytic continuation combined with diagrammatic and world-line Monte Carlo methods in the thermodynamic limit. We have…

Strongly Correlated Electrons · Physics 2016-06-20 A. S. Mishchenko , N. Nagaosa , G. De Filippis , A. de Candia , V. Cataudella

In materials with strong electron-phonon ($e$-ph) interactions, the electrons carry a phonon cloud during their motion, forming quasiparticles known as polarons. Predicting charge transport and its temperature dependence in the polaron…

Materials Science · Physics 2019-12-03 Jin-Jian Zhou , Marco Bernardi

A comprehensive picture of polaron and bipolaron physics is essential to understand the optical absorption spectrum in many materials with electron-phonon interactions. In particular, the finite-temperature properties are of interest since…

Strongly Correlated Electrons · Physics 2022-10-27 David Jansen , Janez Bonča , Fabian Heidrich-Meisner

We propose a feasible and effective approach to study quantum thermal transport through anharmonic systems. The main idea is to obtain an {\it effective} harmonic Hamiltonian for the anharmonic system by applying the self-consistent phonon…

Statistical Mechanics · Physics 2016-10-19 Dahai He , Juzar Thingna , Jian-Sheng Wang , Baowen Li

An efficient implicit kinetic scheme is developed to solve the stationary phonon Boltzmann transport equation (BTE) based on the non-gray model including the phonon dispersion and polarization. Due to the wide range of the dispersed phonon…

Computational Physics · Physics 2018-06-08 Chuang Zhang , Songze Chen , Zhaoli Guo

One of the factors limiting electron mobility in supported graphene is remote phonon scattering. We formulate the theory of the coupling between graphene plasmon and substrate surface polar phonon (SPP) modes, and find that it leads to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Zhun-Yong Ong , Massimo V. Fischetti

We present recent results on a systematic method to calculate transport coefficients for a meson gas (in particular, we analyze a pion gas) at low temperatures in the context of Chiral Perturbation Theory (ChPT). Our method is based on the…

High Energy Physics - Phenomenology · Physics 2010-04-15 D. Fernandez-Fraile , A. Gomez Nicola

A Full Band Monte Carlo simulator has been developed to consider phonon transmission across interfaces that are perpendicular to the heat flux. This solver of the Boltzmann transport equation which does not require any assumption on the…

Applied Physics · Physics 2022-05-06 N. D. Le , B. Davier , N. Izitounene , P. Dollfus , J. Saint-Martin

We apply nonperturbative variational techniques to a relativistic scalar field theory in which heavy bosons (``nucleons'') interact with light scalar mesons via a Yukawa coupling. Integrating out the meson field and neglecting the nucleon…

Nuclear Theory · Physics 2009-10-28 R. Rosenfelder , A. W. Schreiber

We solve a Schrodinger equation for inelastic quantum transport that retains full quantum coherence, in contrast to previous rate or Boltzmann equation approaches. The model Hamiltonian is the zero temperature 1d Holstein model for an…

Strongly Correlated Electrons · Physics 2009-10-30 Janez Bonca , S. A. Trugman