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Understanding the doped Mott insulator is a central challenge in condensed matter physics. In this work, we first explicitly identify a new sign structure in the $t$-$t'$-$J$ model on the square lattice that replaces the conventional Fermi…

Strongly Correlated Electrons · Physics 2024-10-15 Xin Lu , Jia-Xin Zhang , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

We study the phase diagram of a one-dimensional Hubbard model where, in addition to the standard nearest neighbor hopping $t$, we also include a next-to-nearest neighbor hopping $t'$. For strong enough on-site repulsion, this model has a…

Condensed Matter · Physics 2009-10-28 Michele Fabrizio

Doped Hubbard model is a simple model for the high-Tc cuprate superconductors, while its ground state remains a challenge. Here, by performing state-of-the-art variational Monte Carlo calculations for the strong-coupling Hubbard model, we…

Strongly Correlated Electrons · Physics 2014-10-02 Takahiro Misawa , Masatoshi Imada

Due to the interplay between charge fluctuation and geometry frustration, the doped kagome-lattice Mott insulator is a fascinating platform to realize exotic quantum states. Through the state-of-the-art density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-12-29 Xu-Yan Jia , Fan Yang , D. N. Sheng , Shou-Shu Gong

The Kondo lattice model enlarged by an antiferromagnetic coupling $J_{\rm AF}$ between the localized spins is here investigated using computational techniques. Our results suggest the existence of a d-wave superconducting phase close to…

Strongly Correlated Electrons · Physics 2009-11-13 J. C. Xavier , E. Dagotto

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

Pairing Correlations are studied numerically in the hole-doped spin-fermion model for cuprates. Simulations performed on up to 12x12 clusters provide robust indications of D-wave superconductivity away from half-filling. The pairing…

Superconductivity · Physics 2009-11-07 M. Moraghebi , S. Yunoki , A. Moreo

Recently, the experimental results by the angle-resolved photoemission spectroscopy suggested that an additional strong nearest neighbor attraction in the Hubbard model might be significant to describe the properties of doped cuprates more…

Strongly Correlated Electrons · Physics 2022-05-31 Lufeng Zhang , Ting Guo , Yingping Mou , Qiaoni Chen , Tianxing Ma

On the purpose of studying the effect of long-range Coulomb-interaction in strongly correlated electronic systems we bring in as its representative the nearest-neighbor repulsion ($v$) in addition to the on-site repulsion ($u$) and shall…

Condensed Matter · Physics 2017-02-01 Junichiro Kishine , Hiroshi Namaizawa

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report…

Strongly Correlated Electrons · Physics 2025-11-25 Hong-Chen Jiang , Thomas P. Devereaux , Steven A. Kivelson

We study possible charge instabilities in doped Mott insulators by employing the two-dimensional t-J model with a positive value of the next nearest-neighbor hopping integral t' on a square lattice, which is applicable to electron-doped…

Superconductivity · Physics 2014-12-04 Matias Bejas , Andres Greco , Hiroyuki Yamase

The competition between Kitaev and Heisenberg interactions away from half filling is studied for the the hole-doped Kitaev-Heisenberg $t$-$J_K$-$J_H$ model on a honeycomb lattice. While the isotropic Heisenberg coupling supports a…

Strongly Correlated Electrons · Physics 2015-03-19 Timo Hyart , Anthony R. Wright , Giniyat Khaliullin , Bernd Rosenow

Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a…

Superconductivity · Physics 2021-06-17 J. M. Tranquada

Superconductivity in doped quantum paramagnets has been a subject of long theoretical inquiry. In this work we report a density matrix renormalization group study of lightly doped $t$-$J$ models on the square lattice (doped hole densities…

Strongly Correlated Electrons · Physics 2023-08-16 Hong-Chen Jiang , Steven A. Kivelson , Dung-Hai Lee

With high-Tc cuprates in mind, properties of correlated dx2-y2-wave superconducting (SC) and antiferromagnetic (AF) states are studied for the Hubbard (t-t'-U) model on square lattices, using a variational Monte Carlo method. We employ…

Superconductivity · Physics 2012-12-14 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka , Kenji Kobayashi , Hiroki Tsuchiura

The phase diagram of the unconstrained $t-J$ model is calculated using the random phase approximation. It is found that the extended $s$ and the $d_{x^2-y^2}$-channels are {\em not} degenerate near half filling. Extended $s$-pairing with a…

Condensed Matter · Physics 2008-02-03 D. van der Marel

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

Quantum antiferromagnets on geometrically frustrated lattices often allow a number of unusual paramagnetic ground states. The fate of these Mott insulators upon doping is an important issue that may shed some light on the high $T_c$ cuprate…

Superconductivity · Physics 2009-11-10 Chung-Hou Chung , Yong Baek Kim

Three-dimensional $d$-wave ($j=2$) superconducting state may result from Cooper pairing in channels with different angular momenta and spin, such as $(l=0, s=2)$ or $(l=2, s=0)$. We consider spin-3/2 Luttinger fermions in the limit of small…

Superconductivity · Physics 2025-02-05 Majid Kheirkhah , Igor F. Herbut

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a…

Superconductivity · Physics 2011-12-05 Zheng-Yu Weng