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The square-lattice Hubbard and closely related $t$-$J$ models are considered as basic paradigms for understanding strong correlation effects and unconventional superconductivity (SC). Recent large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-02-12 Xin Lu , Feng Chen , W. Zhu , D. N. Sheng , Shou-Shu Gong

We present an exact diagonalization study of the dynamical spin and density correlation function of the 2D t-J model for hole doping < 25%. Both correlation functions show a remarkably regular, but completely different scaling behaviour…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

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

We study frequency- and wave-vector dependent charge correlations in weakly doped antiferromagnets using Mori-Zwanzig projection technique. The system is described by the two-dimensional t-J model. The ground state is expressed within a…

Strongly Correlated Electrons · Physics 2009-10-31 Matthias Vojta , Klaus W. Becker

Results for a doped 3-leg t-J ladder obtained using the density matrix renormalization group are reported. At low hole doping, the holes form a dilute gas with a uniform density. The momentum occupation of the odd band shows a sharp…

Superconductivity · Physics 2009-10-30 Steven R. White , D. J. Scalapino

We present an exact diagonalization study of bilayer clusters of t-J model. Our results indicate a crossover between two markedly different regimes which occurs when the ratio J_perp/J between inter-layer and intra-layer exchange constants…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

Two-leg t-J ladders are investigated in the framework of a combination of the phase string formulation and bond-operator representation. We develope a mean-field theory in the strong rung interaction regime, i.e. $J_{\perp}\gg J, t$, which…

Strongly Correlated Electrons · Physics 2009-10-31 Y. L. Lee , Y. W. Lee , C. -Y. Mou , Z. Y. Weng

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 two-dimensional t-J model on a frustrating lattice is studied using mean-field variational theories with Gutzwiller approximation. We find that a superconducting state with broken time-reversal symmetry (d+id state) is realized in the…

Superconductivity · Physics 2009-11-10 Masao Ogata

Recently, robust $d$-wave superconductive (SC) order has been unveiled in the ground state of the 2D $t$-$t'$-$J$ model -- with both nearest-neighbor ($t$) and next-nearest-neighbor ($t'$) hoppings -- by density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-12-23 Dai-Wei Qu , Qiaoyi Li , Shou-Shu Gong , Yang Qi , Wei Li , Gang Su

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

Superconductivity · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

We investigate a t-J ladder model by numerical diagonalization method. By calculating correlation functions and assuming the Luttinger liquid relation, we obtained a possible phase diagram of the ground state as a function of J/t and…

Condensed Matter · Physics 2009-10-28 Kazuhiro Sano

A two chain ladder model is considered described by the strong coupling $t-t^\prime-J-J^\prime$ Hamiltonian. For the case of two holes moving in a background of antiferromagnetically interacting spins, exact, analytical results are derived…

Strongly Correlated Electrons · Physics 2009-10-31 Indrani Bose , Saurabh Gayen

Recent scanning tunneling microscopy in the superconducting regime of two different cuprate families has revealed unidirectional bond-centered modulation in the local electronic density of states. Motivated by this result we investigate the…

Strongly Correlated Electrons · Physics 2008-07-14 Marcin Raczkowski

We report results of large scale ground state density matrix renormalization group(DMRG) calculations on $t$-$t'$-$J$ cylinders with circumferences 6 and 8. We determine a rough phase diagram which appears to approximate the 2D system.…

Strongly Correlated Electrons · Physics 2021-10-29 Shengtao Jiang , Douglas J. Scalapino , Steven R. White

We revisit the important issue of charge fluctuations in the two-dimensional $t{-}J$ model by using an improved variational method based on a wave function that contains both the antiferromagnetic and the d-wave superconducting order…

Strongly Correlated Electrons · Physics 2009-11-11 Massimo Lugas , Leonardo Spanu , Federico Becca , Sandro Sorella

A variational Monte Carlo calculation is used for studying the ground state of the two-dimensional Hubbard model, including hopping between both nearest and next-nearest neighbor sites. Superconductivity with d-wave symmetry is found to be…

Strongly Correlated Electrons · Physics 2008-08-05 D. Eichenberger , D. Baeriswyl

We investigate the 2D t-J model at a hole doping of $\bar{n}_h$=1/8 using recently developed high accuracy fermionic projected entangled pair states(fPEPS) method. By applying stochastic gradient descent method combined with Monte Carlo…

Strongly Correlated Electrons · Physics 2019-08-28 Shao-Jun Dong , Chao Wang , Yong-Jian Han , Chao Yang , Lixin He

The Hubbard and closely related $t\text-J$ models are exciting platforms for unconventional superconductivity (SC). Through state-of-the-art density matrix renormalization group calculations using the grand canonical ensemble, we address…

Superconductivity · Physics 2025-03-28 Feng Chen , F. D. M. Haldane , D. N. Sheng

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