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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

By using variational wave functions and quantum Monte Carlo techniques, we investigate the interplay between electron-electron and electron-phonon interactions in the two-dimensional Hubbard-Holstein model. Here, the ground-state phase…

Strongly Correlated Electrons · Physics 2017-11-28 Seher Karakuzu , Luca F. Tocchio , Sandro Sorella , Federico Becca

The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

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

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

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

Strongly Correlated Electrons · Physics 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

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

The appearance of certain spectral features in one-dimensional (1D) cuprate materials has been attributed to a strong, extended attractive coupling between electrons. Here, using time-dependent density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2023-10-24 Ta Tang , Brian Moritz , Cheng Peng , Z. X. Shen , Thomas P. Devereaux

I present results from an extended Migdal-Eliashberg theory of electron-phonon interactions and superconductivity. The history of the electron-phonon problem is introduced, and then study of the intermediate parameter regime is justified…

Superconductivity · Physics 2007-05-23 J. P. Hague

We examine the superconducting solution in the Holstein model, where the conduction electrons couple to the dispersionless Boson fields, using the Migdal-Eliashberg theory and Dynamical Mean Field Theory. Although different in numerical…

Strongly Correlated Electrons · Physics 2016-06-17 Chungwei Lin , Bingnan Wang , Koon Hoo Teo

I examine electron-phonon mediated superconductivity in the intermediate coupling and phonon frequency regime of the quasi-2D Holstein model. I use an extended Migdal-Eliashberg theory which includes vertex corrections and spatial…

Superconductivity · Physics 2007-05-23 J. P. Hague

In one dimension the coupling of electrons to phonons leads to a transition from a metallic to a Peierls distorted insulated state if the coupling exceeds a critical value. On the other hand, in two dimensions the electron-phonon…

Superconductivity · Physics 2009-11-13 S. Sykora , A. Hübsch , K. W. Becker

Using a variational Monte Carlo method, we study competitions of strong electron-electron and electron-phonon interactions in the ground state of Holstein-Hubbard model on a square lattice. At half filling, an extended intermediate metallic…

Superconductivity · Physics 2017-11-10 Takahiro Ohgoe , Masatoshi Imada

We present a theoretical study of superconductivity of polarons in the Hubbard-Holstein model. A residual kinematic interaction proportional to the square of the polaron hopping energy between polarons and phonons provides a pairing field…

Superconductivity · Physics 2009-11-11 R. Ramakumar , A. N. Das

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

We present the results of Quantum Monte Carlo calculations for a two dimensional frustrated Hubbard model coupled to bond phonons. The model is known to have a d-wave superconducting ground state in the limit of large phonon frequency for…

Strongly Correlated Electrons · Physics 2020-04-08 R. T. Clay , D. Roy

We study the Holstein-Hubbard model at half filling to explore ordered phases including su- perconductivity (SC), antiferromagnetism (AF), and charge order (CO) in situations where the electron-electron and electron-phonon interactions are…

Strongly Correlated Electrons · Physics 2015-06-16 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

The Holstein Hamiltonian describes fermions hopping on a lattice and interacting locally with dispersionless phonon degrees of freedom. In the low density limit, dressed quasiparticles, polarons and bipolarons, propagate with an effective…

Strongly Correlated Electrons · Physics 2021-06-09 Owen Bradley , George G. Batrouni , Richard T. Scalettar
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