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Polaritonic crystals - periodic structures where the hybrid light-matter waves called polaritons can form Bloch states - promise a deeply subdiffractional nanolight manipulation and enhanced light-matter interaction. In particular,…

The spatially localized bound states of two electrons in the adiabatic two-dimensional Holstein-Hubbard model on a square lattice are investigated both numerically and analytically. The interplay between the electron-phonon coupling g,…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

The translationally invariant diagrammatic quantum perturbation theory (TPT) is applied to the polaron problem on the 1D lattice, modeled through the Holstein Hamiltonian with the phonon frequency omega0, the electron hopping t and the…

Strongly Correlated Electrons · Physics 2009-11-11 O. S. Barisic , S. Barisic

Understanding coupled electron-phonon systems is one of the fundamental issues in strongly correlated systems. In this work, we aim to extend the notion of mixed-state phases to the realm of coupled electron/spinphonon systems.…

Strongly Correlated Electrons · Physics 2025-03-11 Brett Min , Yuxuan Zhang , Yuxuan Guo , Dvira Segal , Yuto Ashida

The Hubbard-Holstein model is one of the central models that describe the competition between electron-electron and electron-phonon interactions. In one dimension and at half-filling, the interplay between an electronic spin-density wave…

Strongly Correlated Electrons · Physics 2024-12-19 Manuel Weber

We investigate the conditions leading to polaron formation for a single electron interacting with dispersionless optical phonons within the Holstein and the Su-Schrieffer-Heeger models. Both from analytic perturbation theory and exact…

Condensed Matter · Physics 2007-05-23 M. Capone , M. Grilli , W. Stephan

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

Strongly Correlated Electrons · Physics 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

We solve the disordered Holstein model via the DMRG method to investigate the combined roles of electron-phonon coupling and disorder on the localization of a single charge or exciton. The parameter regimes chosen, namely the adiabatic…

Disordered Systems and Neural Networks · Physics 2015-06-19 Oliver Robert Tozer , William Barford

A recently developed quantum Monte Carlo approach to the Holstein model with one electron [PRB 69, 024301 (2004)] is extended to two and three dimensional lattices. A moderate sign problem occurs, which is found to diminish with increasing…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Hans Gerd Evertz , Wolfgang von der Linden

We examine the superconducting solution in the Holstein model, where the conduction electrons couple to the dispersionless Boson fields, using the Migdal-Eliashberg theory and Dynamical Mean Field Theory. Although different in numerical…

Strongly Correlated Electrons · Physics 2016-06-17 Chungwei Lin , Bingnan Wang , Koon Hoo Teo

Spectral functions are important quantities that contain a wealth of information about the quasiparticles of a system, and that can also be measured experimentally. For systems with electron-phonon coupling, good approximations for the…

Strongly Correlated Electrons · Physics 2023-09-20 Alberto Nocera , Mona Berciu

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

Chemical Physics · Physics 2014-02-11 Dimitri N. Laikov

We propose an extension to the Davydov D$_2$ Ansatz in the dynamics study of the Holstein molecular crystal model with diagonal and off-diagonal exciton-phonon coupling using the Dirac-Frenkel time-dependent variational principle. The new…

Chemical Physics · Physics 2015-07-08 Nengji Zhou , Zhongkai Huang , Jiangfeng Zhu , Vladimir Chernyak , Yang Zhao

Predicting the electrical properties of organic molecular crystals (OMCs) is challenging due to their complex crystal structures and electron-phonon (e-ph) interactions. Charge transport in OMCs is conventionally categorized into two…

Materials Science · Physics 2022-04-22 Benjamin K. Chang , Jin-Jian Zhou , Nien-En Lee , Marco Bernardi

Polarons are quasiparticles that arise from the interaction of electrons or holes with lattice vibrations. Though polarons are well-studied across multiple disciplines, experimental observations of polarons in two-dimensional crystals are…

We consider the ground state properties of a lattice Bose polaron, a quasiparticle arising from the interaction between an impurity confined to an optical lattice and a surrounding homogeneous Bose-Einstein condensate hosting phononic…

Quantum Gases · Physics 2024-12-10 Jan-Philipp Christ , Pit Bermes , Fabian Grusdt

The optical conductivity of a polaronic charge carrier in the intermediate and strong-coupling regimes is calculated for a tight-binding electron using exact diagonalization. Two different simple models of the electron-phonon coupling are…

Condensed Matter · Physics 2007-05-23 M. Capone , W. Stephan

We investigate the interplay between the formation of lattice and magnetic polaron in the case of a single hole in the antiferromagnetic background. We present an exact analytical solution of the Holstein-t-J model in infinite dimensions.…

Strongly Correlated Electrons · Physics 2009-11-07 E. Cappelluti , S. Ciuchi

We address the numerical simulation of periodic solids (phononic crystals) within the framework of couple stress elasticity. The additional terms in the elastic potential energy lead to dispersive behavior in shear waves, even in the…

Materials Science · Physics 2021-12-30 Nicolás Guarín-Zapata , Juan Gomez , Ali Reza Hadjesfandiari , Gary F. Dargush