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The coexistence of multiple quasi-degenerate orders is the hallmark of the strongly correlated materials. Experiments often reveal several spatially modulated orders in the underdoped cuprates. This has come to the forefront with the…

Superconductivity · Physics 2022-04-25 Anurag Banerjee , Catherine Pépin , Amit Ghosal

There is growing evidence that the hole-doped single-band Hubbard and $t$-$J$ models do not have a superconducting ground state reflective of the high-temperature cuprate superconductors but instead have striped spin- and charge-ordered…

Strongly Correlated Electrons · Physics 2023-05-26 Peizhi Mai , Nathan S. Nichols , Seher Karakuzu , Feng Bao , Adrian Del Maestro , Thomas A. Maier , Steven Johnston

We extend to charge and bond operators the transformation that maps the ionic Hubbard model at half filling onto an effective spin Hamiltonian. Using these operators we calculate the amplitude of the charge density wave in different…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Aligia

Most available theories for correlated electron transport are based on the Hubbard Hamiltonian. In this effective theory, renormalized hopping and interaction parameters only implicitly incorporate the coupling of correlated charge carriers…

Strongly Correlated Electrons · Physics 2014-03-20 S. Kaiser , S. R. Clark , D. Nicoletti , G. Cotugno , R. I. Tobey , N. Dean , S. Lupi , H. Okamoto , T. Hasegawa , D. Jaksch , A. Cavalleri

Identification of the electronic state that appears upon doping a Mott insulator is important to understand the physics of cuprate high-temperature superconductors. Recent scanning tunneling microscopy of cuprates provides evidence that a…

Superconductivity · Physics 2019-01-31 R. Nourafkan , M. Côté , A. - M. S. Tremblay

The generic phase diagram of lightly hole-doped high-$T_c$-cuprates hosts antiferromagnetic insulating phase with well-defined spin-wave excitations. Contrary to the weak-coupling prediction, these modes persist up to the overdoped metallic…

Strongly Correlated Electrons · Physics 2020-08-06 M. Fidrysiak , J. Spałek

We investigate the effect of hole doping on the strong-coupling Hubbard model at half-filling in spatial dimensions $D\ge 1$. We start with an antiferromagnetic mean-field description of the insulating state, and show that doping creates…

Condensed Matter · Physics 2009-10-28 Junwu Gan , Dung-Hai Lee , Per Hedegard

Implementing an improved method for analytic continuation and working with imaginary-time correlation functions computed using quantum Monte Carlo simulations, we resolve the single-particle dispersion relation and the density of states…

Strongly Correlated Electrons · Physics 2025-08-08 Gabe Schumm , Shiwei Zhang , Anders W. Sandvik

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 discuss the interplay between electronic correlations and an underlying superlattice structure in determining the period of charge density waves (CDW's), by considering a one-dimensional Hubbard model with a repeated (non-random) pattern…

Strongly Correlated Electrons · Physics 2009-11-11 Andre L Malvezzi , Thereza Paiva , Raimundo R dos Santos

We use the composite operator method (COM) to analyze the strongly correlated repulsive Hubbard model, investigating the effect of nearest-neighbor hoppings up to fourth order on a square lattice. We consider two sets of self-consistent…

Strongly Correlated Electrons · Physics 2024-03-28 L. Haurie , M. Grandadam , E. Pangburn , A. Banerjee , S. Burdin , C. Pépin

We demonstrate the ability to visualize real-space dynamics of charge gap and magnon excitations in the Mott phase of the single-band Hubbard model and the remnants of these excitations with hole or electron doping. At short times, the…

Strongly Correlated Electrons · Physics 2014-04-16 Yao Wang , Chunjing Jia , Brian Moritz , Thomas P. Devereaux

In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard…

Strongly Correlated Electrons · Physics 2019-04-30 Xiao-Yong Feng , Jianhui Dai

It is now well established that superconducting cuprates support a charge density wave state in the so-called underdoped region of their phase diagram. We investigate the possibility of charge order in the square-lattice Hubbard model, both…

Strongly Correlated Electrons · Physics 2017-03-22 J. P. L. Faye , D. Sénéchal

The ionic Hubbard model on a cubic lattice is investigated using analytical approximations and Wilson's renormalization group for the charge excitation spectrum. Near the Mott insulating regime, where the Hubbard repulsion starts to…

Strongly Correlated Electrons · Physics 2009-11-11 Torben Jabben , Norbert Grewe , Frithjof Anders

Using the strong coupling diagram technique, we calculate the zero-temperature density of states $\rho$ of electrons on a square lattice immersed in a perpendicular uniform magnetic field. The electrons are described by Hubbard Hamiltonian.…

Strongly Correlated Electrons · Physics 2025-04-10 Alexei Sherman

Using the one-dimensional Hubbard model, which is commonly used for describing, e.g., high-$T_c$ superconducting cuprates, we study high-harmonic generation (HHG) from doped, correlated materials. Doping is modeled by changing the number of…

Strongly Correlated Electrons · Physics 2023-01-04 Thomas Hansen , Lars Bojer Madsen

The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

We study the interplay of disorder and correlation in the one-dimensional hole-doped Hubbard-model with disorder (Anderson-Hubbard model) by using the density-matrix renormalization group method. Concentrating on the doped-hole density…

Strongly Correlated Electrons · Physics 2008-11-01 M. Okumura , S. Yamada , N. Taniguchi , M. Machida

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke
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