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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

We present a method for simulating the time evolution of one-dimensional correlated electron-phonon systems which combines the time-evolving block decimation algorithm with a dynamical optimization of the local basis. This approach can…

Strongly Correlated Electrons · Physics 2015-12-16 Christoph Brockt , Florian Dorfner , Lev Vidmar , Fabian Heidrich-Meisner , Eric Jeckelmann

Nonequilibrium pump-probe time domain spectroscopies can become an important tool to disentangle degrees of freedom whose coupling leads to broad structures in the frequency domain. Here, using the time-resolved solution of a model…

The non-equilibrium dynamics of matter excited by light may produce electronic phases that do not exist in equilibrium, such as laser-induced high-transition-temperature superconductivity. Here we simulate the dynamics of a metal driven at…

Strongly Correlated Electrons · Physics 2022-12-05 John Sous , Benedikt Kloss , Dante M. Kennes , David R. Reichman , Andrew J. Millis

We study the role of non-adiabatic Holstein electron-phonon coupling on the neutral-ionic phase transition of charge transfer crystals which can be tuned from continuous to discontinuous, using exact numerical diagonalization. The variation…

Condensed Matter · Physics 2009-10-28 G. P. Borghi , A. Girlando , A. Painelli , J. Voit

We extend the continuous-time interaction-expansion quantum Monte Carlo method with respect to measuring observables for fermion-boson lattice models. Using generating functionals, we express expectation values involving boson operators,…

Strongly Correlated Electrons · Physics 2017-01-04 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The thermodynamic and spectral properties of electrons coupled to quantum phonons are studied within the spinless Holstein model. Using quantum Monte Carlo simulations, we obtain accurate results for the specific heat and the…

Strongly Correlated Electrons · Physics 2018-12-12 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The anharmonic electron-phonon problem is solved in the infinite-dimensional limit using quantum Monte Carlo simulation. Charge-density-wave order is seen to remain at half filling even though the anharmonicity removes the particle-hole…

Condensed Matter · Physics 2009-10-28 J. K. Freericks , Mark Jarrell , G. D. Mahan

In the spinless Holstein model at half-filling the coupling of electrons to phonons is responsible for a phase transition from a metallic state at small coupling to a Peierls distorted insulated state when the electron-phonon coupling…

Strongly Correlated Electrons · Physics 2007-05-23 S. Sykora , A. Huebsch , K. W. Becker

We use a recently developed formalism (combining an adiabatic expansion and dynamical mean-field theory) to obtain expressions for isotope effects on electronic properties in correlated systems. As an example we calculate the isotope effect…

Strongly Correlated Electrons · Physics 2009-11-07 A. Deppeler , A. J. Millis

We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode…

Strongly Correlated Electrons · Physics 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the…

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

We study the role of excited phonon populations in the relaxation rates of nonequilibrium electrons using a nonequilibrium Green's function formalism. The transient modifications in the phononic properties are accounted for by…

Strongly Correlated Electrons · Physics 2018-12-12 O. Abdurazakov , D. Nevola , A. Rustagi , J. K. Freericks , D. B. Dougherty , A. F. Kemper

We derive frequency moment sum rules for the retarded electronic Green's function and self-energy of the Holstein model for both equilibrium and nonequilibrium cases. We also derive sum rules for the phonon propagator in equilibrium and…

Strongly Correlated Electrons · Physics 2014-03-25 J. K. Freericks , Khadijeh Najafi , A. F. Kemper , T. P. Devereaux

We study the interplay of electron-electron and electron-phonon interactions in the course of electron-hole bound state formation for gapped solid state systems. Adapting the essentially approximation-free diagrammatic Monte Carlo method…

Strongly Correlated Electrons · Physics 2018-01-31 A. S. Mishchenko , G. De Filippis , V. Cataudella , N. Nagaosa , H. Fehske

We show that electron drag by nonequilibrium phonons describes the actual waveform and spectrum of terahertz pulses generated during femtosecond laser irradiation of metals. In contrast to previous models, there is a picosecond delay in the…

Other Condensed Matter · Physics 2026-04-16 Ivan Oladyshkin

The normal state of the Holstein model is studied at half-filling in infinite dimensions and in the adiabatic regime. The dynamical mean-field equations are solved using perturbation expansions around the extremal paths of the effective…

Strongly Correlated Electrons · Physics 2009-10-31 Patrizia Benedetti , Roland Zeyher

We study the effects of anharmonicity on the physics of the Holstein model, which describes the coupling of itinerant fermions and localized quantum phonons, by introducing a quartic term in the phonon potential energy. We find that the…

Strongly Correlated Electrons · Physics 2021-06-01 G. Paleari , F. Hébert , B. Cohen-Stead , K. Barros , R. T. Scalettar , G. G. Batrouni

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai