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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

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

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

We study spin and charge dynamics of stripes in doped Mott insulators by considering a two-dimensional Hubbard model with N fermion flavors. For N =2 we recover the normal one-band model while for N -> infty a spin density wave mean-field…

Strongly Correlated Electrons · Physics 2009-11-07 F. F. Assaad , V. Rousseau , F. Hebert , M. Feldbacher , G. G. Batrouni

Quantum Monte Carlo (QMC) and density-matrix renormalization group (DMRG) methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ohta , T. Nakaegawa , S. Ejima

We study a one-dimensional electron liquid embedded in a 2D antiferromagnetic insulator, and coupled to it via a weak antiferromagnetic spin exchange interaction. We argue that this model may qualitatively capture the physics of a single…

Strongly Correlated Electrons · Physics 2009-11-10 H. Johannesson , G. I. Japaridze

Motivated by the stripe developments in cuprates, we review some analytical results of our studies of the charge- and spin density modulations (CDW and SDW) in a weakly coupled one dimensional repulsive electron system on a lattice. It is…

Strongly Correlated Electrons · Physics 2009-11-10 S. I. Mukhin , S. I. Matveenko

Single- and multi-band Hubbard models have been found to describe many of the complex phenomena that are observed in the cuprate and iron-based high-temperature superconductors. Simulations of these models therefore provide an ideal…

Superconductivity · Physics 2012-08-07 Thomas A. Maier

Collective excitations both for spin- and charge-channels are investigated in incommensurate spin density wave (or stripe) states on two-dimensional Hubbard model. By random phase approximation, the dynamical susceptibility \chi(q,\omega)…

Strongly Correlated Electrons · Physics 2009-10-31 Eiji Kaneshita , Masanori Ichioka , Kazushige Machida

We investigate dynamical mean-field calculations of the three-band Emery model at the one- and two-particle level for material-realistic parameters of high-$T_c$ superconductors. Our study shows that even within dynamical mean-field theory,…

Strongly Correlated Electrons · Physics 2025-05-07 Yi-Ting Tseng , Mário O. Malcolms , Henri Menke , Marcel Klett , Thomas Schäfer , Philipp Hansmann

Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many…

Strongly Correlated Electrons · Physics 2022-12-05 Seher Karakuzu , Andy Tanjaroon Ly , Peizhi Mai , James Neuhaus , Thomas A. Maier , Steven Johnston

We study stripes in cuprates within the one-band and the three-band Hubbard model. Magnetic and charge excitations are described within the time-dependent Gutzwiller approximation. A variety of experiments (charge profile from resonant soft…

Superconductivity · Physics 2012-05-22 J. Lorenzana , G. Seibold

Several new classes of compounds can be modeled in first approximation by electrons on the triangular lattice that interact through on-site repulsion $U$ as well as nearest-neighbor repulsion $V$. This extended Hubbard model on a triangular…

Strongly Correlated Electrons · Physics 2009-11-13 B. Davoudi , S. R. Hassan , A. -M. S. Tremblay

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…

Based on an unrestricted Gutzwiller approximation (GA) we investigate the stripe orientation and periodicity in an extended one-band Hubbard model. A negative ratio between next-nearest and nearest neighbor hopping t'/t, as appropriate for…

Strongly Correlated Electrons · Physics 2008-06-16 G. Seibold , J. Lorenzana

We perform extensive auxiliary-field quantum Monte Carlo (AFQMC) calculations for the three-band Hubbard (Emery) model in order to study the ground-state properties of Copper-Oxygen planes in the cuprates. Employing cutting-edge AFQMC…

Superconductivity · Physics 2021-01-04 Adam Chiciak , Ettore Vitali , Shiwei Zhang

Recent neutron scattering and transport data obtained on underdoped YBCO, with strong signatures of rotation symmetry breaking at low temperatures, point toward electron-nematic order in the charge sector. Such order may originate from a…

Superconductivity · Physics 2010-10-22 Matthias Vojta

Significant research advances have led to a consensus that the Fermi-Hubbard model and its extended variants are archetypal frameworks for elucidating the intertwined relationship between stripe orders and superconductivity in hole-doped…

Strongly Correlated Electrons · Physics 2025-07-28 Jia-Long Wang , Shi-Jie Hu , Xue-Feng 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

Magnetic and charge susceptibilities of the two-dimensional repulsive Hubbard model are investigated applying a strong coupling diagram technique in which the expansion in powers of the hopping constants is used. For small lattices and high…

Strongly Correlated Electrons · Physics 2009-11-13 A Sherman , M Schreiber