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Emergence of superconductivity in a two-band system coupled with breathing and Jahn-Teller phonons is discussed in a weak-coupling limit. With the use of a standard quantum mechanical procedure, the phonon-mediated attraction is derived.…

Superconductivity · Physics 2010-03-30 Takashi Hotta

We present a theory of phonon-mediated superconductivity in near magic angle twisted bilayer graphene. Using a microscopic model for phonon coupling to moir\'e band electrons, we find that phonons generate attractive interactions in both…

Superconductivity · Physics 2018-12-19 Fengcheng Wu , A. H. MacDonald , Ivar Martin

Helical liquids, formed by time-reversal pairs of interacting electrons in topological edge channels, provide a platform for stabilizing topological superconductivity upon introducing local and nonlocal pairings through the proximity…

Mesoscale and Nanoscale Physics · Physics 2024-09-26 Chen-Hsuan Hsu

We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the…

Mathematical Physics · Physics 2021-12-07 Krzysztof Myśliwy , Robert Seiringer

The primary mechanism governing the emergence of near-room-temperature superconductivity in superhydrides is widely accepted to be the electron-phonon interaction. If so, the temperature dependent resistance, R(T), in these materials should…

Superconductivity · Physics 2021-09-16 E. F. Talantsev

We study polarons in the one-dimensional Bond-Peierls electron-phonon model, in which phonons on bonds of a lattice modulate the hopping of electrons between lattice sites, and contrast the results to those known for the Breathing-Mode…

Strongly Correlated Electrons · Physics 2021-11-24 Matthew R. Carbone , Andrew J. Millis , David R. Reichman , John Sous

A translation-invariant (TI) bipolaron theory of superconductivity based, like Bardeen-Cooper-Schrieffer theory, on Fr\"ohlich Hamiltonian is presented. Here the role of Cooper pairs belongs to TI bipolarons which are pairs of spatially…

Superconductivity · Physics 2020-05-26 Victor D. Lakhno

After a short review of the different physics in the weak and strong coupling regime, resulting in amplitude fluctuation controlled Cooper pair superconductivity and phase fluctuation controlled superfluidity of tightly bound local polaron…

Superconductivity · Physics 2007-05-23 Julius Ranninger

We use continuous-time quantum Monte Carlo simulations to study retardation effects in the metallic, quarter-filled Holstein model in one dimension. Based on results which include the one- and two-particle spectral functions as well as the…

Strongly Correlated Electrons · Physics 2012-12-07 Martin Hohenadler , Fakher F. Assaad

The Hamiltonian describing a system of strongly correlated electrons coupled to dispersionless phonons was solved numerically for a ring of 8 atoms using the density matrix renormalization group (DMRG) method. It was found that electron…

Strongly Correlated Electrons · Physics 2007-05-23 Yury Petrov , Takeshi Egami

There is a growing understanding that transport properties of complex oxides and individual molecules are dominated by polaron physics. In superconducting oxides the long-range Froehlich and short-range Jahn-Teller electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. S. Alexandrov

We report $ab~initio$ calculations of the electronic and vibrational properties in CuPb$_9$(PO$_4$)$_6$O, including the electron-phonon coupling strength via strong-coupling Migdal-Eliashberg theory. We verify the presence of appealing flat…

Superconductivity · Physics 2024-01-19 Hari Paudyal , Michael E. Flatté , Durga Paudyal

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

We consider the two-band Hubbard model, where electrons from different bands interact through an on-site one- and two-particle hybridization. The proposed Hamiltonian makes it possible to construct an effective theory and answer the…

Strongly Correlated Electrons · Physics 2026-01-07 Igor N. Karnaukhov

The seminal work by Bardeen, Cooper and Schrieffer taken further by Eliashberg to the intermediate coupling solved the problem of conventional superconductors about half a century ago. The Froehlich and Jahn-Teller electron-phonon…

Superconductivity · Physics 2009-11-10 A. S. Alexandrov

We consider how electron-phonon interaction influences the insulator-metal transitions driven by doping in the strongly correlated system. Using the polaronic version of the generalized tight-binding method, we investigate a multiband…

Strongly Correlated Electrons · Physics 2021-11-09 E. I. Shneyder , M. V. Zotova , S. V. Nikolaev , S. G. Ovchinnikov

We develop the nonadiabatic polaron theory of superconductivity of $M_{x}C_{60}$ taking into account the polaron band narrowing and realistic electron-phonon and Coulomb interactions. We argue that the crossover from the BCS weak-coupling…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov , V. V. Kabanov

Motivated by the observation of superconductivity in SrTiO$_3$ and Bi, we analyze phonon-mediated superconductivity in three-dimensional systems at low carrier density, when the chemical potential $\mu$ (equal to Fermi energy at $T=0$) is…

Superconductivity · Physics 2019-04-02 Maria N. Gastiasoro , Andrey V. Chubukov , Rafael M. Fernandes

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as…

Mathematical Physics · Physics 2015-06-18 Rupert L. Frank , Benjamin Schlein

Superconductivity and ferroelectricity,representing two distinct forms of ordered states, are typically not found together in the same system, making it even more difficult to create a connection between them. Here, supported by…

Superconductivity · Physics 2023-12-20 Xu Duan , Shi Liu