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We study a one-band Hubbard model for a twisted cuprate bilayer with a twist angle of 43.6$^\circ$ and a moire cell containing 58 sites. We use the variational cluster approximation (VCA), which treats short-range correlations exactly and…

Strongly Correlated Electrons · Physics 2024-01-08 Mathieu Bélanger , David Sénéchal

We study a one-band Hubbard model of twisted bilayer cuprates with a twist angle of $53.13^\circ$. By introducing an inter-layer bias, we simulate heterobilayers of different dopings. Using the variational cluster approximation (VCA) we…

Strongly Correlated Electrons · Physics 2023-11-07 Mathieu Bélanger , David Sénéchal

Twisting two monolayers of a high-$T_c$ cuprate superconductor can engender a chiral topological state with spontaneously broken time reversal symmetry $\mathcal{T}$. A crucial ingredient required for the emergence of a gapped topological…

Superconductivity · Physics 2022-09-21 Rafael Haenel , Tarun Tummuru , Marcel Franz

We investigate the emergence of nontrivial topology in a twisted cuprate bilayer described by the Hubbard model in the weak-interaction regime. Our results show that the topological character depends sensitively on the doping level. For…

Strongly Correlated Electrons · Physics 2026-05-11 T. Vibert , D. Sénéchal

We theoretically investigate twisted structures where each layer is composed of a strongly correlated material. In particular, we study a twisted t-J model of cuprate multilayers within the slave-boson mean field theory. This treatment…

Superconductivity · Physics 2022-05-18 Xue-Yang Song , Ya-Hui Zhang , Ashvin Vishwanath

Since the prediction of a time-reversal symmetry breaking (TRSB) $d+id^\prime$ state in twisted bilayer cuprate superconductors by Can et al. in 2021, several experiments have attempted to detect this state, yielding conflicting results. At…

Superconductivity · Physics 2026-03-12 Siddhant Panda , Andreas Kreisel , Laura Fanfarillo , Peter Hirschfeld

Studying the disappearance of superconductivity at the end of the overdoped region of the cuprate phase diagram offers a different approach for investigating the interaction which is responsible for pairing in these materials. In the…

Superconductivity · Physics 2020-07-29 Thomas A. Maier , Seher Karakuzu , Douglas J. Scalapino

Experiments on layered materials call for a study of the influence of short-range spin correlations on the Mott transition. To this end, we solve the cluster dynamical mean-field equations for the Hubbard model on a plaquette with…

Strongly Correlated Electrons · Physics 2010-06-23 G. Sordi , K. Haule , A. -M. S. Tremblay

We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, the dynamical cluster extension of dynamical mean field theory, and variational Monte Carlo simulations of…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Hunpyo Lee , Harald O. Jeschke , Roser Valentí , Claudius Gros

Phase separation in the Hubbard model is investigated with the dynamical cluster approximation. We find that it is present in the paramagnetic solution for values of filling smaller than one and at finite temperature when a positive…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , M. Jarrell , Th. Maier

We carry out a detailed numerical study of the three-band Hubbard model in the underdoped region both in the hole- as well as in the electron-doped case by means of the variational cluster approach. Both the phase diagram and the low-energy…

Strongly Correlated Electrons · Physics 2009-07-16 E. Arrigoni , M. Aichhorn , M. Daghofer , W. Hanke

We study the one-band Hubbard model on the trellis lattice, a two-dimensional frustrated lattice of coupled two-leg ladders, with hopping amplitude $t$ within ladders and $t'$ between ladders. For large $U/t$ this is a model for the cuprate…

Strongly Correlated Electrons · Physics 2015-06-11 J. P. L. Faye , S. R. Hassan , P. V. Sriluckshmy , G. Baskaran , D. Sénéchal

We carry out a theoretical study of unconventional superconductivity in twisted bilayer cuprates (TBC) as a function of electron density and layer twist angle. The bilayer $t$-$J$-$U$ model is employed and analyzed within the framework of a…

Superconductivity · Physics 2024-10-11 Maciej Fidrysiak , Bartłomiej Rzeszotarski , Józef Spałek

We establish the qualitative behavior of the incommensurability $\epsilon$, optimal domain wall filling $\nu$ and chemical potential $\mu$ for increasing doping by a systematic slave-boson study of an array of vertical stripes separated by…

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

Is it possible to increase Tc by constructing cuprate heterostructures, which combine the high pairing energy of underdoped layers with the large carrier density of proximate overdoped layers? We investigate this question within a model…

Superconductivity · Physics 2009-05-10 Lilach Goren , Ehud Altman

A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we…

Strongly Correlated Electrons · Physics 2018-04-24 Edwin W. Huang , Christian B. Mendl , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux

Angular-resolved photoemission data on half-filled doped cuprate materials are compared with an exact-diagonalization analysis of the three-band Hubbard model, which is extended to the infinite lattice by means of a perturbation in the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Dahnken , E. Arrigoni , W. Hanke

We study the extended Hubbard model away from half-filling on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size $8$. We show that the model exhibits metallic, compressible charge ordered, and…

Strongly Correlated Electrons · Physics 2019-04-05 Hanna Terletska , Tianran Chen , Joseph Paki , Emanuel Gull

The long-studied Hubbard model is one of the simplest models of copper-oxide superconductors. However, the connection between the model and the experimental phase diagram is still under debate, in particular regarding the existence and…

Strongly Correlated Electrons · Physics 2018-11-21 Andrew S. Darmawan , Yusuke Nomura , Youhei Yamaji , Masatoshi Imada

We theoretically investigate the doping evolution of the electronic state of high-Tc cuprate on both sides of the half-filling on the basis of the three-dimensional three-band Hubbard model with a layered structure using the Hartree-Fock…

Strongly Correlated Electrons · Physics 2015-04-08 Shigeru Koikegami , Masaru Kato , Takashi Yanagisawa
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