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The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holon-doublon) description to finite…

Strongly Correlated Electrons · Physics 2019-07-01 Xing-Jie Han , Chuang Chen , Jing Chen , Hai-Dong Xie , Rui-Zhen Huang , Hai-Jun Liao , Bruce Normand , Zi Yang Meng , Tao Xiang

We re-examine the Peierls insulator to Mott insulator transition scenario in the one-dimensional Holstein-Hubbard model where, at half-filling, electron-phonon and electron-electron interactions compete for establishing charge- and…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Hager , J. Jeckelmann

This paper presents numerical studies of the single hole tt't''J model that address the interplay between the kinetic energy of itinerant electrons and the exchange energy of local moments as of interest to doped Mott insulators. Due to…

Strongly Correlated Electrons · Physics 2009-11-11 Tiago C. Ribeiro

We analyze the stability of excitonic ground states in the two-band Hubbard model with additional electron-phonon and Hund's rule couplings using a combination of mean-field and variational cluster approaches. We show that both the…

Strongly Correlated Electrons · Physics 2015-09-04 Tatsuya Kaneko , Bernd Zenker , Holger Fehske , Yukinori Ohta

The doping and temperature dependent optical conductivity spectra of the quasi-two-dimensional Ca_{2-x}Sr_xRuO_4 (0.0=<x=<2.0) system were investigated. In the Mott insulating state, two electron correlation-induced peaks were observed…

Strongly Correlated Electrons · Physics 2009-11-07 J. S. Lee , Y. S. Lee , T. W. Noh , S. -J. Oh , Jaejun Yu , S. Nakatsuji , H. Fukazawa , Y. Maeno

A paradigmatic case of multi-band Mott physics including spin-orbit and Hund's coupling is realised in Ca$_2$RuO$_4$. Progress in understanding the nature of this Mott insulating phase has been impeded by the lack of knowledge about the…

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

On flat bands of the magic-angle twisted bilayer graphene, exotic correlation physics unfolds. Phonons, through mediating an effective electron-electron interaction, can play a crucial role in selecting various electronic phases. In this…

Strongly Correlated Electrons · Physics 2025-07-03 Yi-Jie Wang , Geng-Dong Zhou , Biao Lian , Zhi-Da Song

To investigate the possibility whether electron-phonon coupling can enhance orbital fluctuations in iron-based superconductors, we develop an ab initio method to construct the effective low-energy models including the phonon-related terms.…

Superconductivity · Physics 2014-01-20 Yusuke Nomura , Kazuma Nakamura , Ryotaro Arita

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

We investigate the nature of the insulating phases in a bilayer Hubbard model with intralayer coupling $t$ and interlayer coupling $t_{\perp}$ at large interaction strength $U/t$ and half-filling. We consider a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-06-17 Hunpyo Lee , Yu-Zhong Zhang , Harald O. Jeschke , Roser Valenti

Evidence for strong electron-phonon coupling in high-Tc cuprates is reviewed, with emphasis on the electron and phonon spectral functions. Effects due to the interplay between the Coulomb and electron-phonon interactions are studied. For…

Strongly Correlated Electrons · Physics 2008-01-17 O. Gunnarsson , O. Rösch

The Hubbard-Holstein model is one of the simplest to incorporate both electron-electron and electron-phonon interactions. In one dimension at half filling the Holstein electron-phonon coupling promotes onsite pairs of electrons and a…

Strongly Correlated Electrons · Physics 2009-11-11 R. P. Hardikar , R. T. Clay

We present a detailed numerical study of the Hubbard-Holstein model in one dimension at half filling, including full finite-frequency quantum phonons. At half filling, the effects of the electron-phonon and electron-electron interactions…

Strongly Correlated Electrons · Physics 2009-11-11 R. T. Clay , R. P. Hardikar

We study the problem of designing an artificial Mott insulator in a correlated oxide heterostructure. We consider the extreme limit of quantum confinement based on ionic discontinuity doping, and argue that a unique dimer Mott insulator can…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , SungBin Lee , Leon Balents

Establishing a minimal microscopic model for cuprates is a key step towards the elucidation of a high-$T_c$ mechanism. By a quantitative comparison with a recent \emph{in situ} angle-resolved photoemission spectroscopy measurement in doped…

Strongly Correlated Electrons · Physics 2021-11-23 Yao Wang , Zhuoyu Chen , Tao Shi , Brian Moritz , Zhi-Xun Shen , Thomas P. Devereaux

We investigate a model for the CuO_2 plane of high-T_c superconductors where the charge carriers are coupled to A_{1g} and B_{1g} symmetric out-of plane vibrations of the oxygen atoms in the presence of local Hubbard correlations. The…

Strongly Correlated Electrons · Physics 2015-03-19 G. Seibold , M. Grilli , J. Lorenzana

Many-body effects are at the very heart of diverse phenomena found in condensed-matter physics. One striking example is the Mott insulator phase where conductivity is suppressed as a result of a strong repulsive interaction. Advances in…

In Mott insulators with a half-filled $t_{2g}$ shell the Hund's rule coupling induces a spin-3/2 orbital-singlet ground state. The spin-orbit interaction is not expected to qualitatively impact low-energy degrees of freedom in such systems.…

Strongly Correlated Electrons · Physics 2023-08-28 Leonid V. Pourovskii

Mott insulator plays a central role in strongly correlated physics, where the repulsive Coulomb interaction dominates over the electron kinetic energy and leads to insulating states with one electron occupying each unit cell. Doped Mott…

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