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The Jahn-Teller model with $E\otimes\beta$ electron-phonon coupling and local (Hubbard-like) Coulomb interaction is considered to describe a lattice system with two orbitals per site at half filling. Starting from a state with one electron…

Strongly Correlated Electrons · Physics 2007-05-23 K. Ziegler

We performed an extensive numerical analysis of the Holstein model. Combining variational Lanczos diagonalisation, density matrix renormalisation group, kernel polynomial expansion, and cluster perturbation theory techniques we solved for…

Strongly Correlated Electrons · Physics 2015-06-25 H. Fehske , S. A. Trugman

We analyze stability of a fermion system with model repulsive pair interaction potential. The possibility for different types of restructuring of the Fermi ground state (at sufficiently great coupling constant) is related to the analytic…

Strongly Correlated Electrons · Physics 2009-10-31 S. A. Artamonov , Yu. G. Pogorelov , V. R. Shaginyan

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

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

Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the…

Strongly Correlated Electrons · Physics 2019-02-21 V. Yu. Irkhin , P. A. Igoshev

The widespread use of the noninteracting ground state as the initial state for the digital quantum simulation of the Fermi-Hubbard model is largely due to the scarcity of alternative easy-to-prepare approximations to the exact ground state…

Strongly Correlated Electrons · Physics 2024-01-17 Bruno Murta , Joaquín Fernández-Rossier

To test effective Hamiltonians for strongly interacting fermions in an optical lattice, we numerically find the energy spectrum for two fermions interacting across a Feshbach resonance in a double well potential. From the spectrum, we…

Quantum Gases · Physics 2010-04-22 J. P. Kestner , L. -M. Duan

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

Using a controlled analytic non-perturbative treatment, that accounts for the quantum nature of the phonons, we derive a model that generically describes cooperative breathing-mode at strong electron-phonon interaction in one-band…

Strongly Correlated Electrons · Physics 2015-06-04 Ravindra Pankaj , Sudhakar Yarlagadda

A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

The theory of electron-phonon superconductivity depends on retardation drastically reducing effects of the strong Coulomb repulsion. The standard theory only treats the lowest order diagram, which is an uncontrolled approximation. We study…

Superconductivity · Physics 2012-12-11 Johannes Bauer , Jong E. Han , Olle Gunnarsson

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

We study how strongly correlated electrons on a dissipative lattice evolve from equilibrium when driven by a constant electric field, focusing on the extent of the linear regime and hysteretic non-linear effects at higher fields. We access…

Strongly Correlated Electrons · Physics 2015-06-18 Jiajun Li , Camille Aron , Gabriel Kotliar , Jong E Han

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

The influence of a nearest-neighbor Coulomb repulsion of strength V on the properties of the Ferromagnetic Kondo model is analyzed using computational techniques. The Hamiltonian studied here is defined on a chain using localized S=1/2…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Malvezzi , S. Yunoki , E. Dagotto

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

Different variants of the Hadron Resonance Gas model have been used to describe the hadronic phase of strongly interacting matter. HRG model is improved by including repulsive interaction through the inclusion of excluded volume in Excluded…

Nuclear Theory · Physics 2025-01-24 Somenath Pal

The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis