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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 use determinant quantum Monte Carlo to study the half-filled `bond-Holstein' model on a square lattice. We find that the model exhibits a charge-density-wave (CDW) phase transition with a critical temperature $T_\mathrm{cdw}$…

Strongly Correlated Electrons · Physics 2026-01-22 Charles Jordan , George Issa , Ehsan Khatami , Richard Scalettar , Benjamin Cohen-Stead , Steven Johnston

Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their…

Strongly Correlated Electrons · Physics 2024-05-14 Eva Paprotzki , Alexander Osterkorn , Vibhu Mishra , Stefan Kehrein

We investigate the out-of-equilibrium dynamics of a photo-excited charge-density-wave (CDW) state in the square-lattice Holstein model, in a setup similar to a pump-probe experiment. At half-filling, the ground state of this system is…

Strongly Correlated Electrons · Physics 2024-06-18 Lingyu Yang , Gia-Wei Chern

The Holstein model on a square lattice at half-filling has a well-established finite temperature phase transition to an insulating state with long range charge density wave (CDW) order. Because this CDW formation suppresses pairing, a…

Strongly Correlated Electrons · Physics 2024-12-31 Jingyao Meng , Yuxi Zhang , Rafael M. Fernandes , Tianxing Ma , R. T. Scalettar

We use an unbiased, continuous-time quantum Monte Carlo method to address the possibility of a zero-temperature phase without charge-density-wave (CDW) order in the Holstein and, by extension, the Holstein-Hubbard model on the half-filled…

Strongly Correlated Electrons · Physics 2019-10-11 M. Hohenadler , G. G. Batrouni

The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground…

Strongly Correlated Electrons · Physics 2023-05-12 Owen Bradley , Benjamin Cohen-Stead , Steven Johnston , Kipton Barros , Richard T. Scalettar

We examine the ground-state properties of the one-dimensional Edwards spinless fermion transport model by means of large-scale density-matrix renormalization-group calculations. Determining the single-particle gap and the Tomonaga-Luttinger…

Strongly Correlated Electrons · Physics 2014-07-01 Satoshi Ejima , Holger Fehske

The ground state phase diagram of the half-filled one-dimensional Holstein-Hubbard model contains a charge-density-wave (CDW) phase, driven by the electron-phonon (e-ph) coupling, and a spin-density-wave (SDW) phase, driven by the on-site…

Strongly Correlated Electrons · Physics 2007-10-30 Ka-Ming Tam , S. -W. Tsai , D. K. Campbell , A. H. Castro Neto

We study the temperature-filling phase diagram of the single-band Holstein model in two dimensions using the self-consistent Migdal approximation, where both the electron and phonon self-energies are treated on an equal footing. By…

Superconductivity · Physics 2019-02-05 Philip M. Dee , Ken Nakatsukasa , Yan Wang , Steven Johnston

We investigate the role of electron-electron and electron-phonon interactions in strongly correlated systems by performing unbiased quantum Monte Carlo simulations in the square lattice Hubbard-Holstein model at half-filling. We study the…

Strongly Correlated Electrons · Physics 2019-10-04 Natanael C. Costa , Kazuhiro Seki , Seiji Yunoki , Sandro Sorella

Among the mechanisms for lattice structural deformation, the electron-phonon interaction mediated Peierls charge-density-wave (CDW) instability in single band low-dimensional systems is perhaps the most ubiquitous. The standard mean-field…

Strongly Correlated Electrons · Physics 2009-11-11 Sanjoy Datta , Sudhakar Yarlagadda

We derive an effective electronic Hamiltonian for square lattice Hubbard-Holstein model (HHM) in the strong electron-electron (e-e) and electron-phonon (e-ph) coupling regime and under non-adiabatic conditions ($t/\omega_0 \leq 1$), $t$ and…

Strongly Correlated Electrons · Physics 2018-06-13 Sahinur Reja , Satoshi Nishimoto

Exploring supersolidity in naturally occurring and artificially designed systems has been and will continue to be an area of immense interest. Here, we study how superfluid and charge-density-wave (CDW) states cooperate or compete in a…

Strongly Correlated Electrons · Physics 2015-05-26 Satyaki Kar , Sudhakar Yarlagadda

We describe coupled electron-phonon systems semiclassically - Ehrenfest dynamics for the phonons and quantum mechanics for the electrons - using a classical Monte Carlo approach that determines the nonequilibrium response to a large pump…

Strongly Correlated Electrons · Physics 2022-03-23 Marko D. Petrovic , Manuel Weber , James K. Freericks

The Holstein Model (HM) describes the interaction between fermions and a collection of local (dispersionless) phonon modes. In the dilute limit, the phonon degrees of freedom dress the fermions, giving rise to polaron and bipolaron…

Strongly Correlated Electrons · Physics 2018-12-07 Natanael C. Costa , T. Blommel , W. -T. Chiu , G. G. Batrouni , R. T. Scalettar

Including the previously ignored dispersion of phonons we revisit the metal-insulator transition problem in one-dimensional electron-phonon systems on the basis of a modified spinless fermion Holstein model. Using matrix-product-state…

Strongly Correlated Electrons · Physics 2024-09-18 Florian Lange , Holger Fehske

We study the half-filled Haldane-Holstein model, where a paradigmatic Chern insulator is coupled to fully dynamical phonons, and provide an unbiased characterization of how retarded electron-phonon interactions destabilize Chern topology.…

Strongly Correlated Electrons · Physics 2026-02-11 Sebastião dos Anjos Sousa-Júnior , Julián Faúndez , Tarik P. Cysne , Richard T. Scalettar , Rubem Mondaini

Charge density wave (CDW) is a collective quantum phenomenon with a charge modulation in solids1-2. Condensation of electron and hole pairs with finite momentum will lead to such an ordered state3-7. However, lattice symmetry breaking…

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux
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