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The metallic surface states of a topological insulator support helical Dirac fermions protected by topology with their spin locked perpendicular to their momentum. They can acquire mass through magnetic doping or through hybridization of…

Mesoscale and Nanoscale Physics · Physics 2015-04-14 Zhou Li , J. P. Carbotte

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , T. A. Costi , V. Meden

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson

We calculate hybridization of plasmons and intrinsic optical phonons in graphene by using the self-consistent linear response formalism. We find that longitudinal plasmons (transverse magnetic modes) couple exclusively to transverse optical…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Jablan , M. Soljačić , H. Buljan

With the eigen-functional bosonization method, we study one-dimensional strongly correlated electron systems with large momentum ($2k_{F}$ and/or $4k_{F}$) transfer term(s), and demonstrate that this kind of problems ends in to solve the…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become…

Condensed Matter · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

We study the quantum dynamics of small polaron formation and polaron transport through finite quantum structures in the framework of the one-dimensional Holstein model with site-dependent potentials and interactions. Combining Lanczos…

Strongly Correlated Electrons · Physics 2015-05-19 H. Fehske , G. Wellein , A. R. Bishop

The molecular-crystal model, that describes a one-dimensional electron gas interacting with quartic anharmonic lattice vibrations, offers great potentials in the mapping of a relatively wide range of low-dimensional fermion systems coupled…

Strongly Correlated Electrons · Physics 2010-07-15 Alain Moise Dikande

We study how phonon structure manifests itself in the electronic density of states of graphene. A procedure for extracting the value of the electron-phonon renormalization $\lambda$ is developed. In addition, we identify direct phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. J. Nicol , J. P. Carbotte

An exact diagonalization technique is used to investigate the low-lying excited polaron states in the Holstein model for the infinite one-dimensional lattice. For moderate values of the adiabatic ratio, a new and comprehensive picture,…

Condensed Matter · Physics 2009-11-07 Osor S. Barisic

Consider a time-harmonic acoustic plane wave incident onto an elastic body with an unbounded periodic surface. The medium above the surface is supposed to be filled with a homogeneous compressible inviscid air/fluid of constant mass…

Numerical Analysis · Mathematics 2025-04-25 Lei Lin , Junliang Lv

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

In electronic structure theory, variational methods offer a valuable paradigm for approximating electronic ground states. However, for historical reasons, this principle is mostly restricted to model chemistries in pre-defined fixed basis…

Quantum Physics · Physics 2025-11-17 Fabian Langkabel , Stefan Knecht , Jakob S. Kottmann

We demonstrate how supercell implementations of conventional lattice dynamical calculations can be used to determine the extent and nature of disorder-induced broadening in the phonon dispersion spectrum of disordered crystalline materials.…

Disordered Systems and Neural Networks · Physics 2017-04-26 Alistair R. Overy , Arkadiy Simonov , Philip A. Chater , Matthew G. Tucker , Andrew L. Goodwin

We propose a symmetry-based framework for constructing effective harmonic phonon models using a symmetry-adapted multipole basis. By decomposing the force-constant matrix into bond-centered electric multipoles, we identify the minimal…

Materials Science · Physics 2026-04-28 Yu Xie , Rikuto Oiwa , Satoru Hayami

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

The optical conductivity of charge carriers coupled to quantum phonons is studied in the framework of the one-dimensional spinless Holstein model. For one electron, variational diagonalisation yields exact results in the thermodynamic…

Strongly Correlated Electrons · Physics 2007-06-13 Jan Loos , Martin Hohenadler , Andreas Alvermann , Holger Fehske

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

The three band p-d model of strongly correlated electrons interacting with optical phonon via diagonal and off-diagonal electron-phonon interaction is considered within cluster perturbation theory. At first step the exact diagonalization of…

Strongly Correlated Electrons · Physics 2015-11-04 I. A. Makarov , E. I. Shneyder , P. A. Kozlov , S. G. Ovchinnikov

In one dimension the coupling of electrons to phonons leads to a transition from a metallic to a Peierls distorted insulated state if the coupling exceeds a critical value. On the other hand, in two dimensions the electron-phonon…

Superconductivity · Physics 2009-11-13 S. Sykora , A. Hübsch , K. W. Becker