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We study the half filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8-20. We show that the model exhibits metallic, Mott insulating, and charge ordered phases,…

Strongly Correlated Electrons · Physics 2017-04-28 Hanna Terletska , Tianran Chen , Emanuel Gull

The observation of charge stripe order in the doped nickelate and cuprate materials has motivated much theoretical effort to understand the underlying mechanism of the stripe phase. Numerical studies of the Hubbard model show two…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lemanski , J. K. Freericks , G. Banach

Analysis of higher-order correlation functions has become a powerful tool for investigating interacting many-body systems in quantum simulators, such as quantum gas microscopes. Experimental measurements of mixed spin-charge correlation…

Strongly Correlated Electrons · Physics 2021-09-08 Yao Wang , Annabelle Bohrdt , Joannis Koepsell , Eugene Demler , Fabian Grusdt

The coupling of spin, charge and lattice degrees of freedom results in the emergence of novel states of matter across many classes of strongly correlated electron materials. A model example is unconventional superconductivity, which is…

We propose a model of a spatially modulated collective charge state of superconducting cuprates. The regions of higher carrier density (stripes) are described in terms of Luttinger liquids and the regions of lower density as a…

Superconductivity · Physics 2019-05-15 Antonio H. Castro Neto

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

In recent years, charge-channel orders in strongly correlated metals have attracted great attention. Famous examples are the electronic nematic orders in cuprates and iron-based superconductors, and Star-of-David order in kagome metals.…

Superconductivity · Physics 2025-08-28 Youichi Yamakawa , Hiroshi Kontani

Using a rotationally invariant version of the slave-boson approach in spin space we analyze the stability of stripe phases with large unit cells in the two-dimensional Hubbard model. This approach allows one to treat strong electron…

Strongly Correlated Electrons · Physics 2007-05-23 Marcin Raczkowski , Raymond Fresard , Andrzej M. Oles

Topological phases, like the celebrated Haldane phase in spin-1 chains, defy characterization through local order parameters. Instead, non-local string order parameters can be employed to reveal their hidden order. Similar diluted magnetic…

The ability to efficiently control charge and spin in the cuprate high-temperature superconductors is crucial for fundamental research and underpins technological development. Here, we explore the tunability of magnetism, superconductivity…

The effective lattice models in strongly correlated electron systems are \emph{derived} in particular for the cuprate superconductors, that incorporate the quantum fluctuations of the spin Berry's phase and the antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-03-15 Mu-Kun Lee , Chyh-Hong Chern

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…

The separation of the charge- and spin ordering temperatures of the stripe phase in cuprate superconductors has been used to argue that the striped phase is charge driven. Scaling analysis of a non-linear sigma model shows that the effect…

Superconductivity · Physics 2009-10-30 C. N. A. van Duin , J. Zaanen

The phase diagram of underdoped cuprates in a magnetic field ($H$) is the key ingredient in understanding the anomalous normal state of these high-temperature superconductors. However, the upper critical field ($H_{c2}$) or the extent of…

Superconductivity · Physics 2020-04-06 Zhenzhong Shi , P. G. Baity , T. Sasagawa , Dragana Popović

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

Strongly Correlated Electrons · Physics 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

The Roth's two-pole approximation has been used by the present authors to study the effects of the hybridization in the superconducting properties of a strongly correlated electron system. The model used is the extended Hubbard model which…

Strongly Correlated Electrons · Physics 2016-08-16 E. J. Calegari , S. G. Magalhães , A. A. Gomes

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

A strong electron-phonon interaction arises from the modulation of the superexchange interaction by lattice vibrations. It is responsible for the softening of the half-breathing modes around (pm pi/a,0) and (0, pm pi/a) in the…

Superconductivity · Physics 2007-05-23 Fusayoshi J. Ohkawa

Combined effects of electron correlations and lattice distortions are investigated on the charge ordering in \theta-(BEDT-TTF)2RbZn(SCN)4 theoretically in a two-dimensional 3/4-filled extended Hubbard model with electron-lattice couplings.…

Strongly Correlated Electrons · Physics 2009-11-13 Satoshi Miyashita , Kenji Yonemitsu

Although all superconducting cuprates display charge-ordering tendencies, their low-temperature properties are distinct, impeding efforts to understand the phenomena within a single conceptual framework. While some systems exhibit stripes…