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We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

Important information on momentum resolved low energy charge response can be extracted from anomalous properties of bond stretching in plane phonons observed in inelastic neutron and X-ray scattering in cuprates and some other perovskites.…

Superconductivity · Physics 2009-11-11 S. Cojocaru , R. Citro , M. Marinaro

Thermodynamic properties of the square-lattice Holstein model of the electron-phonon problem with phonon frequencies small compared to the bare Fermi energy are obtained using Monte Carlo methods, a strong-coupling (bipolaronic) expansion,…

Strongly Correlated Electrons · Physics 2019-05-29 Ilya Esterlis , Steven Kivelson , Douglas Scalapino

We develop a theoretical approach to study the transient dynamics and the time-dependent statistics for the Anderson-Holstein model in the regime of strong electron-phonon coupling. For this purpose we adapt a recently introduced…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 R. Seoane Souto , R. Avriller , R. C. Monreal , A. Martin-Rodero , A. Levy Yeyati

Understanding the influence of vibrational degrees of freedom on transport through a heterostructure poses considerable theoretical and numerical challenges. In this work, we use the density-matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2021-11-17 David Jansen , Christian Jooss , Fabian Heidrich-Meisner

Recent development of theoretical method for dissipative quantum transport have achieved notable progresses in the weak or strong electron-phonon coupling regime. However, a generalized theory for dissipative quantum transport at arbitrary…

Mesoscale and Nanoscale Physics · Physics 2015-09-18 Yu Zhang , ChiYung Yam , YanHo Kwok , GuanHua Chen

he correct estimation of thermal properties of ultra-scaled CMOS and thermoelectric semiconductor devices demands for accurate phonon modeling in such structures. This work provides a detailed description of the modified valence force field…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Abhijeet Paul , Mathieu Luisier , Gerhard Klimeck

We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode…

Strongly Correlated Electrons · Physics 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We present a comprehensive study of the spectral and transport properties in the Anderson--Holstein model both in and out of equilibrium using the functional renormalization group (FRG). We show how the previously established machinery of…

Strongly Correlated Electrons · Physics 2014-05-19 M. A. Laakso , D. M. Kennes , S. G. Jakobs , V. Meden

This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the electron-electron and electron-phonon couplings. When the electron-phonon and nearest-neighbor electron-electron…

Mathematical Physics · Physics 2016-10-12 Tadahiro Miyao

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

Thermal management is extremely important for designing high-performance devices. The lattice thermal conductivity of materials is strongly dependent on the structural defects at different length scales, particularly point defects like…

Materials Science · Physics 2021-02-24 Yandong Sun , Yanguang Zhou , Ming Hu , G. Jeffrey Snyder , Ben Xu , Wei Liu

We derive an effective polaronic interaction Hamiltonian, {\it exact to second order in perturbation}, for the spinless one-dimensional Holstein model. The small parameter is given by the ratio of the hopping term ($t$) to the polaronic…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjoy Datta , Arnab Das , Sudhakar Yarlagadda

The infinite-$U$ Anderson-Holstein impurity model is studied with a focus on the interplay between the strong electron correlation and the weak electron-phonon interaction. The slave boson method has been employed in combination with the…

Strongly Correlated Electrons · Physics 2009-11-10 Hyun C. Lee , Han-Yong Choi

Electronic properties and lattice vibrations are supposed to be strongly correlated in metal-halide perovskites, due to the "soft" fluctuating nature of their crystal lattice. Thus, unveiling electron-phonon coupling dynamics upon…

We apply boson expansion methods to an extended Lipkin-Meshkov-Glick model including anharmonicities in analogy with previous microscopic calculations. We study the effects of different approximations present in these calculations, among…

Nuclear Theory · Physics 2009-10-31 C. Volpe , Ph. Chomaz , M. V. Andres , F. Catara , E. G. Lanza

Recent experiments on metallic nanohybrids have revealed unusually strong electron-phonon effects emerging from nanoscale interfaces, despite the weak coupling character of the constituent bulk materials. Motivated by these observations, we…

Strongly Correlated Electrons · Physics 2026-04-08 Debraj Bose , Saheli Sarkar , Pinaki Majumdar

We investigate the effect of strong electron-electron repulsion on the electron-phonon interaction from a Fermi-liquid point of view: the strong interaction is responsible for vertex corrections, which are strongly dependent on the…

Condensed Matter · Physics 2009-10-22 M. Grilli , C. Castellani

We perform investigation of Hubbard model with interaction between strongly correlated conducting electrons on a lattice with Debye phonons. To solve the problem generalized dynamical mean-field DMFT+\Sigma method is employed with…

Strongly Correlated Electrons · Physics 2009-10-02 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres