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We study the one-dimensional Holstein model of spinless fermions interacting with dispersion-less phonons by using a recently developed projector-based renormalization method (PRM). At half-filling the system shows a metal-insulator…

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

We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a…

Quantum Physics · Physics 2024-08-26 Samuel Warren , Yuchen Wang , Carlos L. Benavides-Riveros , David A. Mazziotti

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 investigate electron-phonon coupling in many-electron systems using dynamical mean-field theory in combination with the numerical renormalization group. This non-perturbative method reveals significant precursor effects to the gap…

Strongly Correlated Electrons · Physics 2009-11-07 D. Meyer , A. C. Hewson , R. Bulla

Understanding the influence of vibrational degrees of freedom on transport through a heterostructure poses considerable theoretical and numerical challenges. In this work, we use the density-matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2021-11-17 David Jansen , Christian Jooss , Fabian Heidrich-Meisner

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

The technique of density matrix equation (DME) for a small system interacting with a bath is explained in detail. Special attention is given to the nonsecular DME that is needed in the vicinity of overdamped tunnelling resonances in…

Statistical Mechanics · Physics 2012-02-22 D. A. Garanin

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

Based on the Frenkel-charge transfer (CT) mixing model of singlet fission (SF), we incorporate both the local and nonlocal phonon baths in the Hamiltonian and adopt the algorithm of time-dependent density matrix renormalization group to…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Yao Yao

The recent experimental discoveries about excitation energy transfer (EET) in light harvesting antenna (LHA) attract a lot of interest. As an open non-equilibrium quantum system, the EET demands more rigorous theoretical framework to…

Statistical Mechanics · Physics 2015-06-15 Xin Chen , Jianshu Cao , Robert Silbey

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

Different regimes of entanglement growth under measurement have been demonstrated for quantum many-body systems, with an entangling phase for low measurement rates and a disentangling phase for high rates (quantum Zeno effect). Here we…

Quantum Gases · Physics 2021-06-14 Juan José Mendoza-Arenas , Berislav Buča

The low temperature thermodynamics of correlated 1D fermionic models with spin and charge degrees of freedom is obtained by exact diagonalization (ED) of small systems and followed by density matrix renormalization group (DMRG) calculations…

Strongly Correlated Electrons · Physics 2022-03-11 Sudip Kumar Saha , Debasmita Maiti , Manoranjan Kumar , Zoltán G. Soos

Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated interacting quantum many-particle systems. For the simplest spinless systems, with say $m$ particles in $N$ single particle states…

Quantum Physics · Physics 2015-04-06 V. K. B. Kota , Manan Vyas

The spontaneous generation of charge-density-wave order in a Dirac fermion system via the natural mechanism of electron-phonon coupling is studied in the framework of the Holstein model on the honeycomb lattice. Using two independent and…

Strongly Correlated Electrons · Physics 2019-02-21 Chuang Chen , Xiao Yan Xu , Zi Yang Meng , Martin Hohenadler

We compute the phonon dispersion, density of states, and the Gr\"uneisen parameters of bulk palladium in the combined density functional theory (DFT) and dynamical mean-field theory (DMFT). We find good agreement with experimental results…

Strongly Correlated Electrons · Physics 2020-02-20 W. H. Appelt , A. Östlin , I. Di Marco , I. Leonov , M. Sekania , D. Vollhardt , L. Chioncel

The thermodynamics of the inhomogeneous one-dimensional repulsive fermionic Hubbard model with parabolic confinement is studied by a density-functional theory approach, based on Mermin's generalization to finite temperatures. A…

Strongly Correlated Electrons · Physics 2019-04-25 V. L. Campo

Despite being relevant to better understand the properties of honeycomb-like systems, as graphene-based compounds, the electron-phonon interaction is commonly disregarded in theoretical approaches. That is, the effects of phonon fields on…

Strongly Correlated Electrons · Physics 2021-03-17 Natanael C. Costa , Kazuhiro Seki , Sandro Sorella

We describe quantum entanglement inherent to the polaron ground states of coupled electron-phonon (or, more generally, particle-phonon) systems based on a model comprising both local (Holstein-type) and nonlocal (Peierls-type) coupling. We…

Other Condensed Matter · Physics 2008-12-11 Vladimir M. Stojanovic , Mihajlo Vanevic