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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…

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

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 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

Understanding the physics of the two-dimensional Hubbard model is widely believed to be a key step in achieving a full understanding of high-$T_\mathrm{c}$ cuprate superconductors. In recent years, progress has been made by large-scale…

Strongly Correlated Electrons · Physics 2025-09-29 Tizian Blatz , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

Recent transport properties on the stripe phase in La$_{\text{1.875}}$Ba$_{\text{01.25}}$CuO$_{\text{4}}$ by Li \textit{et al.} found 2-dimensional superconductivity over a wide temperature range including a Berezinski-Kosterlitz-Thouless…

Superconductivity · Physics 2015-05-13 Kai-Yu Yang , Wei-Qiang Chen , T. M. Rice , M. Sigrist , Fu-Chun Zhang

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

Microscopically understanding competing orders in strongly correlated systems is a key challenge in modern quantum many-body physics. For example, the study of magnetic polarons and their relation to pairing in the Fermi-Hubbard model in…

Strongly Correlated Electrons · Physics 2024-10-02 Henning Schlömer , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

Competing inhomogeneous orders are a central feature of correlated electron materials including the high-temperature superconductors. The two- dimensional Hubbard model serves as the canonical microscopic physical model for such systems.…

Traditionally one and two-point correlation functions are used to characterize many-body systems. In strongly correlated quantum materials, such as the doped 2D Fermi-Hubbard system, these may no longer be sufficient because higher-order…

Quantum Gases · Physics 2021-01-20 A. Bohrdt , Y. Wang , J. Koepsell , M. Kánasz-Nagy , E. Demler , F. Grusdt

The dualism between superconductivity and charge/spin modulations (the so-called stripes) dominates the phase diagram of many strongly-correlated systems. A prominent example is given by the Hubbard model, where these phases compete and…

Strongly Correlated Electrons · Physics 2019-08-14 Luca F. Tocchio , Arianna Montorsi , Federico Becca

The interplay between thermal and quantum fluctuations controls the competition between phases of matter in strongly correlated electron systems. We study finite-temperature properties of the strongly coupled two-dimensional doped Hubbard…

Strongly Correlated Electrons · Physics 2021-07-21 Alexander Wietek , Yuan-Yao He , Steven R. White , Antoine Georges , E. Miles Stoudenmire

Experiments show evidence for stripe formation in the underdoped cuprates. Here we discuss recent numerical calculations on the t-J model which tell us about the mechanism responsible for stripe formation and the relationship between…

Superconductivity · Physics 2007-05-23 Steven R. White , D. J. Scalapino

The interplay of charge orders with superconductivity in underdoped cuprates at high magnetic fields ($H$) is an open question, and even the value of the upper critical field ($H_{c2}$), a measure of the strength of superconductivity, has…

Superconductivity · Physics 2020-08-28 Zhenzhong Shi , P. G. Baity , T. Sasagawa , Dragana Popović

Finite temperature quantum Monte Carlo simulations are performed on the anisotropic t-J model and in particular on its Ising limit. Straight site-centered stripes are imposed by an on-site potential representing external mechanisms of…

Superconductivity · Physics 2009-11-07 Jose A. Riera

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

We study repulsive Hubbard and t-J type systems on a square lattice (long believed to capture certain quintessential aspects of the high temperature superconductors). These models (alongside the parent compounds of the high temperature…

Strongly Correlated Electrons · Physics 2016-03-15 Marco Bosch , Zohar Nussinov

We obtain an almost complete understanding of the mean-field phase diagram of the two-dimensional Hubbard model on a square lattice with a sizable next-nearest neighbor hopping and a moderate interaction strength. In particular, we clarify…

Strongly Correlated Electrons · Physics 2024-07-02 Robin Scholle , Walter Metzner , Demetrio Vilardi , Pietro M. Bonetti

The Hubbard model is known to accommodate various electronic orders, including stripes, which are important for understanding the physics of cuprates. We study spin-stripe order in the square lattice Hubbard model as a function of doping…

Strongly Correlated Electrons · Physics 2026-04-29 Ruslan Mushkaev , Francesco Petocchi , Shintaro Hoshino , Philipp Werner

The interplay of spin and motional degrees of freedom forms a key element in explaining stripe formation accompanied by sublattice reversal of local antiferromagnetic ordering in interacting fermionic models. A long-standing question aims…

Strongly Correlated Electrons · Physics 2024-02-28 Jianhao Sun , Tao Ying , Richard T. Scalettar , Rubem Mondaini
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