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The carrier-density dependence of the photoemission spectrum of the Holstein many-polaron model is studied using cluster perturbation theory combined with an improved cluster diagonalization by Chebychev expansion.

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Gerhard Wellein , Andreas Alvermann , Holger Fehske

Due to solvation, excess charge carriers on 1d semiconductor nanostructures immersed in polar solvents undergo self-localization into polaronic states. Using a simplified theoretical model for small-diameter structures, we study…

Chemical Physics · Physics 2009-11-13 Yu. N. Gartstein , G. L. Ussery

We construct a general theory of operator monotonicity and apply it to the Fr\"ohlich polaron hamiltonian. This general theory provides a consistent viewpoint of the Fr\"ohlich model.

Mathematical Physics · Physics 2015-06-12 Tadahiro Miyao

With increasing electron-phonon coupling as described within the t-J-Holstein model, bipolaron kinetic energy is lowered in comparison with that of the polaron. This effect is accompanied with "undressing" of bipolaron from lattice degrees…

Strongly Correlated Electrons · Physics 2010-09-27 Lev Vidmar , Janez Bonca

We introduce a scalable, translationally invariant variational theory for ab initio polarons that remains applicable across coupling regimes without resorting to supercells. Our approach combines a momentum-projected Toyozawa-type…

Materials Science · Physics 2026-05-08 Moritz K. A. Baumgarten , Hamlin Wu , Tong Jiang , Joonho Lee

We use variational methods to study a spin impurity in a 1D Bose lattice gas. Both in the strongly interacting superfluid regime and the Mott regime we find that the impurity binds with a hole, forming a polaron. Our calculations for the…

Quantum Gases · Physics 2013-11-05 Shovan Dutta , Erich J. Mueller

We review variational and quantum Monte Carlo approaches based on (extended) Lang-Firsov transformations of the Hamiltonian. Derivations for one, two and many electrons are given, and results for the Holstein polaron, the Holstein-Hubbard…

Strongly Correlated Electrons · Physics 2015-06-25 Martin Hohenadler , Wolfgang von der Linden

The structure of bound magnetic polarons in an antiferromagnetic matrix is studied in the framework of two-dimensional (2D) and three-dimensional (3D) Kondo-lattice models in the double exchange limit (J_H >> t). The conduction electron is…

Strongly Correlated Electrons · Physics 2007-05-23 S. L. Ogarkov , M. Yu. Kagan , A. O. Sboychakov , A. L. Rakhmanov , K. I. Kugel

We develop a theoretical and computational framework to study polarons in semiconductors and insulators from first principles. Our approach provides the formation energy, excitation energy, and wavefunction of both electron and hole…

Materials Science · Physics 2019-06-21 Weng Hong Sio , Carla Verdi , Samuel Ponce , Feliciano Giustino

In this paper, we consider a semiclassical version of the fractional Klein-Gordon equation on the lattice, $h{\mathbb{Z}}^n.$ Contrary to the Euclidean case that was considered in [2], the discrete fractional Klein-Gordon equation is…

Analysis of PDEs · Mathematics 2022-05-12 Aparajita Dasgupta , Michael Ruzhansky , Abhilash Tushir

We consider stationary and propagating solutions for a Bose-Einstein condensate in a periodic optical potential with an additional confining optical or magnetic potential. Using an effective mass approximation we express the condensate…

Condensed Matter · Physics 2007-05-23 M. J. Steel , Weiping Zhang

Using the momentum average (MA) approximation, we find an analytical expression for the disorder-averaged Green's function of a Holstein polaron in a three-dimensional simple cubic lattice with random on-site energies. The on-site disorder…

Strongly Correlated Electrons · Physics 2012-11-09 Hadi Ebrahimnejad , Mona Berciu

We investigate the zero-temperature properties of a mobile impurity immersed in a bath of bosonic particles confined to a square lattice. We analyze the regimes of attractive and repulsive coupling between the impurity and the bath…

Quantum Gases · Physics 2025-12-18 Tom Hartweg , Tanul Gupta , Guido Pupillo

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

Strongly Correlated Electrons · Physics 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

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

An variational expression for the zero temperature polaron impedance is obtained by minimizing the free energy in a generalized quadratic Feynman model. The impedance function of the quadratic model serves as the variational parameter. It…

Quantum Gases · Physics 2016-05-19 Dries Sels

We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy configurations is performed within a generalized…

Strongly Correlated Electrons · Physics 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

When a mobile impurity interacts with a surrounding bath of bosons, it forms a polaron. Numerous methods have been developed to calculate how the energy and the effective mass of the polaron are renormalized by the medium for equilibrium…

Quantum Gases · Physics 2018-03-28 Fabian Grusdt , Kushal Seetharam , Yulia Shchadilova , Eugene Demler

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

The properties of a dilute electron gas, coupled to the lattice degrees of freedom, are studied and compared with the properties of an electron gas at half-filling, where spinless fermions with two orbitals per lattice site are considered.…

Strongly Correlated Electrons · Physics 2007-05-23 D. Schneider , K. -H. Höck , K. Ziegler