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Polarons with different types of electron-phonon coupling have fundamentally different properties. When the dominant interaction is between the electron density and lattice displacement, the momentum of the ground state does not change and…

Strongly Correlated Electrons · Physics 2021-07-28 Chao Zhang , Nikolay V. Prokof'ev , Boris V. Svistunov

We present exact diagonalization and momentum average approximation (MA) results for the single polaron properties of a one-dimensional two-band model with phonon-modulated hopping. At strong electron-phonon coupling, we find a novel type…

Strongly Correlated Electrons · Physics 2016-11-15 Mirko M. Möller , Mona Berciu

We determine the phase diagram of a polaron model with mixed breathing-mode and Su-Schrieffer-Heeger couplings and show that it has two sharp transitions, in contrast to pure models which exhibit one (for Su-Schrieffer-Heeger coupling) or…

Quantum Gases · Physics 2013-05-31 Felipe Herrera , Kirk W. Madison , Roman V. Krems , Mona Berciu

Non-diagonal couplings to a bosonic bath completely change polaronic dynamics, from the usual diagonally-coupled paradigm of smoothly-varying properties. We study, using analytic and numerical methods, a model having both diagonal Holstein…

Strongly Correlated Electrons · Physics 2017-01-18 Dominic J. J. Marchand , Philip C. E. Stamp , Mona Berciu

Theoretical studies suggest that Su-Schrieffer-Heeger-like electron-phonon ($e$-ph) interactions can mediate high-temperature bipolaronic superconductivity that is robust against repulsive electron-electron interactions. Here we present a…

Superconductivity · Physics 2023-07-21 Andy Tanjaroon Ly , Benjamin Cohen-Stead , Sohan Malkaruge Costa , Steven Johnston

We study two identical fermions, or two hard-core bosons, in an infinite chain and coupled to phonons by interactions that modulate their hopping as described by the Peierls/Su-Schrieffer-Heeger (SSH) model. We show that exchange of phonons…

Strongly Correlated Electrons · Physics 2018-01-03 J. Sous , M. Chakraborty , C. P. J. Adolphs , R. V. Krems , M. Berciu

We investigate the bipolaronic crossover and the pairing transition for a two-orbital model with Jahn-Teller coupling to a two-fold degenerate phonon mode. The evolution from weak to strong coupling is reminiscent of the behavior of the…

Strongly Correlated Electrons · Physics 2009-04-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

Characterizing bipolaron binding, and understanding how it depends on electron-phonon interaction, is crucial to unraveling the nature of emergent many-body states in strongly interacting electron-phonon systems. So far, most studies of…

Strongly Correlated Electrons · Physics 2025-02-19 Filip Marijanović , Yi-Fan Qu , Eugene Demler

We study the Hubbard-Holstein model using slave-boson mean-field and a variation al Lang-Firsov transformation. We identify weak and strong e-ph coupling solutions, whose stability depends both on the bare e-ph coupling and on the…

Strongly Correlated Electrons · Physics 2007-08-07 P. Barone , R. Raimondi , M. Capone , C. Castellani

We investigate the two-dimensional optical Su-Schrieffer-Heeger (SSH) model, in which the electron hopping amplitude is modulated by the difference between neighboring phonon coordinates. Using sign-problem-free auxiliary-field quantum…

We study one-dimensional Su-Schrieffer-Heeger (SSH) models with quantum phonons using a continuous-time quantum Monte Carlo method. Within statistical errors, we obtain identical results for the SSH model with acoustic phonons, and a…

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

The interplay of bond and charge correlations is studied in a one-dimensional model with both Holstein and Su-Schrieffer-Heeger (SSH) couplings to quantum phonons. The problem is solved exactly by quantum Monte Carlo simulations. If one of…

Strongly Correlated Electrons · Physics 2017-02-28 Martin Hohenadler

Electron-phonon (e-ph) interactions play a crucial role in determining many properties of materials. In this context, the Su-Schrieffer-Heeger (SSH) model, where atomic motion modulates the electronic hopping, has gained significant…

Strongly Correlated Electrons · Physics 2026-03-13 Debshikha Banerjee , Alberto Nocera , Steven Johnston

We propose an analog superconducting quantum simulator for a one-dimensional model featuring momentum-dependent (nonlocal) electron-phonon couplings of Su-Schrieffer-Heeger and "breathing-mode" types. Because its corresponding vertex…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Vladimir M. Stojanovic , Mihajlo Vanevic , Eugene Demler , Lin Tian

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 present impelling evidence of topological phase transitions induced by electron-phonon (e-ph) coupling in an $\alpha$-$T_3$ Haldane-Holstein model that presents smooth tunability between graphene ($\alpha=0$) and a dice lattice…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Mijanur Islam , Kuntal Bhattacharyya , Saurabh Basu

Employing a largely unbiased variational exact diagonalization technique, we analyze the consequences of longer-ranged electron hopping and electron-phonon interaction on polaron formation in one dimension. Having at our disposal the…

Strongly Correlated Electrons · Physics 2024-02-20 Monodeep Chakraborty , Jayita Chatterjee , Holger Fehske

It is widely accepted that phonon-mediated high-temperature superconductivity is impossible at ambient pressure, because of the very large effective masses of polarons/bipolarons at strong electron-phonon coupling. Here we challenge this…

Superconductivity · Physics 2019-04-29 John Sous , Monodeep Chakraborty , Roman V. Krems , Mona Berciu

We study bipolaron formation and bipolaronic superconductivity on a square lattice, where electrons couple to both local Holstein phonons via on-site charge density and nonlocal bond Su-Schrieffer-Heeger phonons via modulation of hopping…

Superconductivity · Physics 2025-11-11 Chao Zhang

Most nonperturbative numerical studies of electron-phonon interactions focus on model Hamiltonians where the electrons interact with a phonon branch via a single type of microscopic mechanism. Two commonly explored couplings in this context…

Strongly Correlated Electrons · Physics 2024-12-25 Max Casebolt , Chunhan Feng , Richard T. Scalettar , Steven Johnston , G. G. Batrouni
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