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We propose a new class of ground states for doped Mott insulators in the electron second-quantization representation. They are obtained from a bosonic resonating valence bond (RVB) theory of the t-J model. At half filling, the ground state…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , Y. Zhou , V. N. Muthukumar

Recently, the use of neural quantum states for describing the ground state of many- and few-body problems has been gaining popularity because of their high expressivity and ability to handle intractably large Hilbert spaces. In particular,…

Disordered Systems and Neural Networks · Physics 2020-11-09 Vladimir Vargas-Calderón , Herbert Vinck-Posada , Fabio A. González

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

Several experiments in the context of ladder materials have recently shown that the study of simple models of anisotropic ladders (i.e. with different couplings along legs and rungs) is important for the understanding of these compounds. In…

Strongly Correlated Electrons · Physics 2009-10-31 J. Riera , D. Poilblanc , E. Dagotto

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

Strongly Correlated Electrons · Physics 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

We propose a new ansatz for the ground-state wave function of quantum many-body systems on a lattice. The key idea is to cover the lattice with plaquettes and obtain a state whose configurational weights can be optimized by means of a…

Strongly Correlated Electrons · Physics 2015-05-13 Fabio Mezzacapo , Norbert Schuch , Massimo Boninsegni , J. Ignacio Cirac

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

Recent refinements of analytical and numerical methods have improved our understanding of the ground-state phase diagram of the two-dimensional (2D) Hubbard model. Here we focus on variational approaches, but comparisons with both Quantum…

Strongly Correlated Electrons · Physics 2009-07-25 D. Baeriswyl , D. Eichenberger , M. Menteshashvili

The dynamics of a single hole in the t-J model on two- (2LL) and three- (3LL) leg ladders is studied using a recently developed quantum Monte Carlo algorithm. For the 2LL it is shown that in addition to the most pronounced features of the…

Strongly Correlated Electrons · Physics 2009-11-07 Michael Brunner , Sylvain Capponi , Fakher F. Assaad , Alejandro Muramatsu

We develop an efficient numerical method for the description of a single-hole motion in the antiferromagnetic background. The method is free of finite-size effects and allows calculation of physical properties at an arbitrary wavevector.…

Strongly Correlated Electrons · Physics 2009-11-13 J. Bonca , S. Maekawa , T. Tohyama

We show that a particular class of variational wave functions reproduces the low-energy properties of the Hubbard model in one dimension. Our approach generalizes to finite on-site Coulomb repulsion the fully-projected wave function…

Strongly Correlated Electrons · Physics 2009-11-11 Manuela Capello , Federico Becca , Seiji Yunoki , Michele Fabrizio , Sandro Sorella

Quasiparticle collapsing is a central issue in the study of strongly correlated electron systems. In the one-dimensional case, the quasiparticle collapsing in a form of spin-charge separation has been well established, but the problem…

Strongly Correlated Electrons · Physics 2016-01-06 Zheng Zhu , Zheng-Yu Weng

Using quantum Monte Carlo (QMC) simulations combined with Maximum Entropy analytic continuation as well as analytical methods, we examine the one- and two-particle dynamical properties of the Hubbard model on two coupled chains at small…

Strongly Correlated Electrons · Physics 2007-05-23 R. M. Noack , M. G. Zacher , H. Endres , W. Hanke

We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $\sigma t$-$J$ model, in which the no-double-occupancy constraint remains…

Strongly Correlated Electrons · Physics 2025-12-19 Wayne Zheng , Jia-Xin Zhang , Zheng-Yuan Yue , Zheng-Cheng Gu , Zheng-Yu Weng

We report a quantum Monte Carlo study of the thermodynamic properties of arrays of spin ladders with various widths ($n$), coupled via a weak inter-ladder exchange coupling $\alpha J$, where $J$ is the intra-ladder coupling both along and…

Strongly Correlated Electrons · Physics 2009-10-31 Y. J. Kim , R. J. Birgeneau , M. A. Kastner , Y. S. Lee , Y. Endoh , G. Shirane , K. Yamada

We show that, Landau level mixing in two-dimensional quantum dot wave functions can be taken into account very effectively by multiplying the exact lowest Landau level wave functions by a Jastrow factor which is optimized by variance…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. D. Güçlü , C. J. Umrigar

We have carried out density-matrix-renormalization group (DMRG) calculations for the problem of one doped hole in a two-leg $t-J$ ladder. Recent studies have concluded that exotic "Mott" physics --- arising from the projection onto the…

Strongly Correlated Electrons · Physics 2015-08-05 S. R. White , D. J. Scalapino , S. A. Kivelson

The microscopic wave functions of the composite fermion theory can incorporate electron mass anisotropy by a trivial rescaling of the coordinates. These wave functions are very likely adiabatically connected to the actual wave functions of…

Strongly Correlated Electrons · Physics 2016-02-11 Ajit C. Balram , J. K. Jain

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

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada