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We determine the spin and charge orders in the ground state of the doped two-dimensional (2D) Hubbard model in its simplest form, namely with only nearest-neighbor hopping and on-site repulsion. At half-filling, the ground state is known to…

Strongly Correlated Electrons · Physics 2022-03-31 Hao Xu , Hao Shi , Ettore Vitali , Mingpu Qin , Shiwei Zhang

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta=12.5\%$. By keeping a large number of states for long system sizes, we are able to…

Strongly Correlated Electrons · Physics 2019-09-30 Hong-Chen Jiang , Thomas P. Devereaux

By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping $\delta=1/8$, with both nearest- ($t$) and…

Strongly Correlated Electrons · Physics 2022-06-06 Vito Marino , Federico Becca , Luca F. Tocchio

The nature of the interplay between superconductivity and magnetism in the cuprates remains one of the fundamental unsolved problems in high temperature superconductivity. Whether and how these two phenomena are interdependent is perhaps…

Superconductivity · Physics 2009-11-13 R. M. Konik , F. H. L. Essler , A. M. Tsvelik

We perform variational Monte Carlo simulations of the single-band Hubbard model on the square lattice with both nearest ($t$) and next-nearest ($t'$) neighbor hoppings. Our work investigates the consequences of increasing hole doping on the…

Strongly Correlated Electrons · Physics 2024-07-09 Antonio Lechiara , Vito Marino , Luca F. Tocchio

We study the ground state properties of the hole-doped three-band Hubbard (Emery) model, describing the copper-oxygen planes of the cuprates, using large-scale 2D tensor network calculations. Our simulations reveal a period 4 stripe state…

Strongly Correlated Electrons · Physics 2023-11-29 Boris Ponsioen , Sangwoo S. Chung , Philippe Corboz

Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and their spins organize into patterns known as stripes. For high-Tc superconducting cuprates, stripes are widely suspected to exist in a fluctuating form.…

Strongly Correlated Electrons · Physics 2017-12-04 Edwin W. Huang , Christian B. Mendl , Shenxiu Liu , Steve Johnston , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux

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

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

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

We show that many observable properties of high temperature superconductors can be obtained in the frameworks of one-dimensional self-consistent model with included superconducting correlations. Analytical solutions for spin, charge and…

Strongly Correlated Electrons · Physics 2016-08-31 S. I. Matveenko

The high-temperature superconducting cuprates are governed by intertwined striped magnetic and charge orders in addition to superconductivity. Remarkably similar behavior has also been seen in numerical calculations for the Hubbard model…

Strongly Correlated Electrons · Physics 2022-02-25 Peizhi Mai , Seher Karakuzu , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier

Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC).…

Strongly Correlated Electrons · Physics 2022-02-16 Hong-Chen Jiang , Steven A. Kivelson

Using dynamic cluster quantum Monte Carlo simulations, we study the superconducting behavior of a 1/8 doped two-dimensional Hubbard model with imposed uni-directional stripe-like charge density wave modulation. We find a significant…

Superconductivity · Physics 2015-05-14 T. A. Maier , G. Alvarez , M. Summers , T. C. Schulthess

The relation between d-wave superconductivity and stripes is fundamental to the understanding of ordered phases in cuprates. While experimentally both phases are found in close proximity, numerical studies on the related Fermi-Hubbard model…

We study a simple model for the metallic stripes found in $La_{1.6-x}Nd_{0.4}Sr_xCuO_4$: two chain Hubbard ladder embedded in a static antiferromagnetic environments. We consider two cases: a ``topological stripe'', for which the phase of…

Strongly Correlated Electrons · Physics 2009-10-30 Yu. A. Krotov , D. -H. Lee , A. V. Balatsky

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

The problems of charge stripe formation, spin-charge separation, and stability of the antiphase domain wall (ADW) associated with a stripe are addressed using an analytical approach to the t-J_z model. We show that a metallic stripe…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Chernyshev , A. H. Castro Neto , A. R. Bishop

One of the major themes in correlated electron physics over the last quarter century has been the problem of high-temperature superconductivity in hole-doped copper-oxide compounds. Fundamental to this problem is the competition between…

Superconductivity · Physics 2013-08-19 John M. Tranquada
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