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Related papers: Holstein light quantum polarons

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Small polaron behavior in a two dimensional honeycomb net is studied by applying the strong coupling perturbative method to the Holstein molecular crystal model. We find that small optical polarons can be mobile also if the electrons are…

Superconductivity · Physics 2009-11-07 Marco Zoli

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

The theory of linear and non-linear infrared response of vibrational Holstein polarons in one-dimensional lattices is presented in order to identify the spectral signatures of self-trapping phenomena. Using a canonical transformation the…

Chemical Physics · Physics 2023-09-29 Cyril Falvo

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

The two-dimensional Holstein model is studied by means of direct Lanczos diagonalization preserving the full dynamics and quantum nature of phonons. We present numerical exact results for the single-particle spectral function, the polaronic…

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

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

We obtain analytical expressions for the large- and small-radius polarons on the one-dimensional lattice in the TBA approximation. The equations of motion for this model are treated classically for the oscillator subsystem, while a quantum…

Mesoscale and Nanoscale Physics · Physics 2012-04-12 V. N. Likhachev , T. Yu. Astakhova , G. A. Vinoghradov

We investigate the Holstein mechanism in a single-electron (one-site) system, where unitary evolution intrinsically involves both fermion and boson operators under nonadiabatic conditions. The resulting unitary dynamics and boson-frequency…

Disordered Systems and Neural Networks · Physics 2025-12-02 Chen-Huan Wu

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 present the first numerically exact study of a polaron with quadratic coupling to the oscillator displacement, using two alternative methodological developments. Our results cover both anti-adiabatic and adiabatic regimes and the entire…

The ground state polaron potential of 1D lattice of two-level molecules with spinless electrons and two Einstein phonon modes with quantum phonon-assisted transitions between the levels is found anharmonic in phonon displacements. The…

Soft Condensed Matter · Physics 2007-05-23 Eva Majernikova , J. Riedel , S. Shpyrko

The bound states of two electrons in the adiabatic Holstein-Hubbard model are studied numerically in one and two dimensions from the anticontinuous limit. This model involves a competition between a local electron-phonon coupling (with a…

Strongly Correlated Electrons · Physics 2009-10-31 Laurent Proville , Serge Aubry

A charge motion in an electric field in a Holstein molecular chain is modeled in the absence of dissipation. It is shown that in a weak electric field a Holstein polaron moves uniformly experiencing small oscillations of its shape. These…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 V. D. Lakhno , A. N. Korshunova

This work represents a fundamental study of a Holstein polaron in one dimension driven away from the ground state by a constant electric field. Taking fully into account quantum effects we follow the time-evolution of the system from its…

Other Condensed Matter · Physics 2011-04-19 Lev Vidmar , Janez Bonca , Marcin Mierzejewski , Peter Prelovsek , Stuart A. Trugman

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the…

Condensed Matter · Physics 2009-10-31 R. J. Bursill , R. H. McKenzie , C. J. Hamer

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

The formation and local symmetry of spin-lattice polaron has been investigated semiclassically in the planar Holstein t-J-like models within the exact diagonalization method. Due to the interplay of strong correlations and electron-lattice…

Strongly Correlated Electrons · Physics 2015-06-12 Han Ma , T. K. Lee , Yan Chen

We calculate the frequency-dependent mobility of the Holstein polaron in one dimension near adiabatic limit using the method based on dynamical quantum tipicality, as well as the quantum-classical method. The agreement between fully quantum…

Strongly Correlated Electrons · Physics 2025-05-09 Petar Mitrić , Vladimir Dobrosavljević , Darko Tanasković

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

Statistical Mechanics · Physics 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

A model with Holstein-like electron-phonon coupling is studied in the limit of adiabatic phonons. The phonon distribution is anharmonic with two degenerate maxima. This model can be related to fermions in a correlated binary alloy and…

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