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Related papers: Coherent-state ansatz for the Holstein polaron in …

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We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We investigate the low-energy properties of the Holstein polaron through calculation of the q-dependent phonon spectral function using an improved exact-diagonalization technique, defined over a variational Hilbert space. We perform a…

Other Condensed Matter · Physics 2010-09-28 Lev Vidmar , Janez Bonca , Stuart A. Trugman

We performed an extensive numerical analysis of the Holstein model. Combining variational Lanczos diagonalisation, density matrix renormalisation group, kernel polynomial expansion, and cluster perturbation theory techniques we solved for…

Strongly Correlated Electrons · Physics 2015-06-25 H. Fehske , S. A. Trugman

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the…

Materials Science · Physics 2024-06-03 Junjie Yang , Zhi-Hao Cui , Ankit Mahajan , Huanchen Zhai , David R. Reichman , Garnet Kin-Lic Chan

We present the complete ground state phase diagram of the Holstein model in two and three dimension considering the phonon variables to be classical. We first establish the overall structure of the phase diagram by using exact…

Strongly Correlated Electrons · Physics 2009-11-10 B. Poornachandra Sekhar , Sanjeev Kumar , Pinaki Majumdar

We show that in crystals where light ions are symmetrically intercalated between heavy ions, the electron-phonon coupling for carriers located at the light sites cannot be described by a Holstein model. We introduce the double-well…

Strongly Correlated Electrons · Physics 2014-05-09 Clemens P. J. Adolphs , Mona Berciu

We generalize the Momentum Average approximations MA$^{(0)}$ and MA$^{(1)}$ to study the effects of coupling to multiple optical phonons on the properties of a Holstein polaron. As for a single phonon mode, these approximations are…

Superconductivity · Physics 2008-11-06 Lucian Covaci , Mona Berciu

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

When an electron interacts with phonons, the electron can exhibit either free electron-like or polaron-like properties. The latter tends to occur for very strong coupling, and results in a phonon cloud accompanying the electron as it moves,…

Superconductivity · Physics 2012-11-21 Zhou Li , F. Marsiglio

The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

We calculate the spectral properties of the one-dimensional Holstein and breathing polarons using the self-consistent Born approximation. The Holstein model electron-phonon coupling is momentum independent while the breathing coupling…

Strongly Correlated Electrons · Physics 2007-05-23 C. Slezak , A. Macridin , G. A. Sawatzky , M. Jarrell , T. A. Maier

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

We analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced attraction,…

Strongly Correlated Electrons · Physics 2023-02-28 Sijia Zhao , Zhaoyu Han , Ilya Esterlis , Steven A. Kivelson

We adapt a variational procedure to calculate ground state properties of the Holstein model in the adiabatic limit. At strong coupling, this adaption leads to rapid convergence of results. The intermediate coupling regime is further handled…

Strongly Correlated Electrons · Physics 2010-03-10 Zhou Li , D. Baillie , C. Blois , F. Marsiglio

We study the crossover from quasi free electron to small polaron in the Holstein model for a single electron by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice. We show that the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Capone S. Ciuchi , C. Grimaldi

We investigate the interaction of correlated electrons with acoustical phonons using the extended Hubbard-Holstein model in which both, the electron-phonon interaction and the on-site Coulomb repulsion are considered to be strong. The…

Strongly Correlated Electrons · Physics 2009-11-11 V. A. Moskalenko , P. Entel , D. F. Digor

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

The spectral weight functions and the optical conductivity of the Holstein model are studied on a one-dimensional six-site lattice with periodic boundary conditions for three different electron concentrations: a single electron, two…

Strongly Correlated Electrons · Physics 2009-10-31 Chunli Zhang , Eric Jeckelmann , Steven R. White

We present numerical exact results for the polaronic band structure of the Holstein molecular crystal model in one and two dimensions. The use of direct Lanczos diagonalization technique, preserving the full dynamics and quantum nature of…

Condensed Matter · Physics 2009-10-30 G. Wellein , H. Fehske
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