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We study the phase diagram of an effective three orbital model of the cuprates using Variational Monte-Carlo calculations (VMC) on asymptotically large lattices and exact diagonalization on a 24-site cluster. States with ordered orbital…

Strongly Correlated Electrons · Physics 2015-06-16 Cedric Weber , Thierry Giamarchi , Chandra M. Varma

We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact diagonalization numerical results…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Chernyshev , P. W. Leung , R. J. Gooding

We present a new method for modeling electronically excited states that overcomes a key failing of linear response theory by allowing the underlying ground state ansatz to relax in the presence of an excitation. The method is variational,…

Chemical Physics · Physics 2016-09-21 Eric Neuscamman

We investigate the ground-state magnetism of a Hubbard model in a system consisting of a main frame (subsystem) and a particle bath (center sites). The hole doping in the main frame is controlled by adjusting the chemical potential of the…

Strongly Correlated Electrons · Physics 2025-05-09 Hiroaki Onishi , Seiji Miyashita

We investigate the ground state of the irrationally frustrated Josephson junction array with controlling anisotropy parameter \lambda\ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground…

Statistical Mechanics · Physics 2012-05-29 Tomoaki Nogawa , Hajime Yoshino , Bongsoo Kim

We show that a two-body Jastrow wave function is able to capture the ground-state properties of the $S=1$ antiferromagnetic Heisenberg chain with the single-ion anisotropy term, in both the topological and trivial phases. Here, the…

We present a variational Monte Carlo (VMC) method that works equally well for the ground and the excited states of a quantum system. The method is based on the minimization of the variance of energy, as opposed to the energy itself in…

Computational Physics · Physics 2007-05-23 Imran Khan , Bo Gao

Using the coupled-cluster method for infinite lattices and the exact diagonalization method for finite lattices, we study the influence of an exchange anisotropy Delta on the ground-state phase diagram of the spin-1/2 frustrated J1-J2 XXZ…

Strongly Correlated Electrons · Physics 2009-02-18 R. Darradi , J. Richter , J. Schulenburg , R. F. Bishop , P. H. Y. Li

The ground-state properties of the t-J model on a d-dimensional hypercubic lattice are examined in the limit of large d. It is found that the undoped system is an ordered antiferromagnet, and that the doped system phase separates into a…

Strongly Correlated Electrons · Physics 2009-10-30 E. W. Carlson , S. A. Kivelson , Z. Nussinov , V. J. Emery

A method to calculate the one-body Green's function for ground states of correlated electron materials is formulated by extending the variational Monte Carlo method. We benchmark against the exact diagonalization (ED) for the one- and…

Strongly Correlated Electrons · Physics 2020-11-11 Maxime Charlebois , Masatoshi Imada

We develop a variational Monte Carlo (VMC) method for electron-phonon coupled systems. The VMC method has been extensively used for investigating strongly correlated electrons over the last decades. However, its applications to…

Strongly Correlated Electrons · Physics 2014-06-02 Takahiro Ohgoe , Masatoshi Imada

We have investigated two-electron bound state formation in a square two-dimensional t-J-U model with hopping anisotropies for zero electron density; these anisotropies are introduced to mimic the hopping energies similar to those expected…

Strongly Correlated Electrons · Physics 2009-10-31 Saurabh Basu , R. J. Gooding , P. W. Leung

A new procedure of trial variational wave functional is proposed for investigating the mass renormailzation and the local structure of the ground state of a one-dimensional quantum sine-Gordon model with linear spatial modulation, whose…

Strongly Correlated Electrons · Physics 2018-01-17 Zhiguo Wang , Yumei Zhang

For a system with interacting quantum mechanical particles in a one-dimensional harmonic oscillator, a trial wavefunction with simple structure based on the solution of the corresponding two-particle system is suggested and tested…

Quantum Physics · Physics 2012-09-06 J. C. Cremon

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

Strongly Correlated Electrons · Physics 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

We analyze a model of spinless fermions on a triangular lattice at half-filling interacting via strong nearest-neighbor repulsive interactions, V, using the variational Monte Carlo simulation technique. The existence of three-sublattice…

Strongly Correlated Electrons · Physics 2009-11-13 M. Miyazaki , C. Hotta , S. Miyahara , K. Matsuda , N. Furukawa

Exact diagonalization studies for a doped t-J ladder (or double chain) show hole pairing in the ground state. The excitation spectrum separates into a limited number of quasiparticles which carry charge $+|e|$ and spin ${1 \over 2}$ and a…

Condensed Matter · Physics 2007-05-23 Hirokazu Tsunetsugu , Matthias Troyer , T. Maurice Rice

We investigate the ground-state phase diagram of the two-dimensional Hubbard model based on the optimization variational Monte Carlo method. We use a wave function that is an off-diagonal type given as $\psi=\exp(-\lambda K)P_G\psi_0$,…

Strongly Correlated Electrons · Physics 2019-04-11 Takashi Yanagisawa

We use the Green's function formalism to discuss the role of strong correlations to the spatial structure of acceptor states doped into a two-dimensional Mott-Hubbard antiferromagnetic insulator. When the scattering between doped carriers,…

Strongly Correlated Electrons · Physics 2010-12-16 M. B. Silva Neto

In this work, we present an analytical framework for studying antiferromagnetic (AFM) Mott insulating states in the Hubbard model. We first derive an analytical solution for the single-particle Green's functions in the atomic limit. Within…

Strongly Correlated Electrons · Physics 2026-02-27 Wenxin Ding , Rong Yu