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We propose a Monte Carlo method, which is a hybrid method of the quantum Monte Carlo method and variational Monte Carlo theory, to study the Hubbard model. The theory is based on the off-diagonal and the Gutzwiller type correlation factors…

Strongly Correlated Electrons · Physics 2015-06-24 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

This paper introduces a hybrid approach combining Green's function Monte Carlo (GFMC) method with projected entangled pair state (PEPS) ansatz. This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC. By…

Strongly Correlated Electrons · Physics 2025-03-13 He-Yu Lin , Rong-Qiang He , Yibin Guo , Zhong-Yi Lu

The transition mechanism in high temperature cuprate superconductors is an outstanding puzzle. A previous suggestion on the role of non-linear local lattice instability modes on the microscopic pairing mechanism in high temperature cuprate…

Superconductivity · Physics 2017-03-09 B. S. Lee , T. L. Yoon , R. Abd-Shukor

We use the moment approach of Nolting (exact sum rules) (Z. Physik 255, 25 (1972)) for the attractive Hubbard model in the superconducting phase. Our diagonal and off - diagonal spectral functions are constructed and evaluated with the sum…

Condensed Matter · Physics 2007-05-23 J. J. Rodriguez - Nunez , C. E. Cordeiro , A. Delfino

Using the variational Monte-Carlo method we find that a relatively weak long-range electron-phonon interaction induces a d-wave superconducting state of doped Mott-Hubbard insulators and/or strongly-correlated metals with a condensation…

Superconductivity · Physics 2009-07-21 T. M. Hardy , J. P. Hague , J. H. Samson , A. S. Alexandrov

The phase diagram of cuprate high-temperature superconductors is investigated on the basis of the three-band d-p model. We use the optimization variational Monte Carlo method, where improved many-body wave functions have been proposed to…

Strongly Correlated Electrons · Physics 2021-05-17 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

We implement a highly efficient strong-coupling expansion for the Green's function of the Hubbard model. In the limit of extreme correlations, where the onsite interaction is infinite, the evaluation of diagrams simplifies dramatically…

Strongly Correlated Electrons · Physics 2014-06-06 Ehsan Khatami , Edward Perepelitsky , Marcos Rigol , B. Sriram Shastry

A systematically improvable wave function is proposed for the numerical solution of strongly correlated systems. With a stochastic optimization method, based on the auxiliary field quantum Monte Carlo technique, an effective temperature…

Strongly Correlated Electrons · Physics 2022-03-22 Sandro Sorella

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented. The Dyson equation for the normal and anomalous Green functions for the projected (Hubbard) electronic operators is derived. To…

Strongly Correlated Electrons · Physics 2021-01-19 N. M. Plakida

Among the exotic and yet unobserved features of multi-channel Kondo impurity models is their sub-unitary single electron scattering. In the two-channel Kondo model, for example, an incoming electron is fully scattered into a many-body…

Strongly Correlated Electrons · Physics 2023-08-09 Eran Sela , David Goldhaber-Gordon , A. Anthore , F. Pierre , Yuval Oreg

We investigate the correlation effects on spin-orbit coupling (SOC) in a two-orbital Hubbard model on a square lattice by applying the variational Monte Carlo method. We consider an effective SOC constant $\lambda_{\text{eff}}$ in the…

Strongly Correlated Electrons · Physics 2022-11-11 Katsunori Kubo

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently…

Superconductivity · Physics 2009-10-30 M. H. Pedersen , J. J. Rodriguez-Nunez , H. Beck , T. Schneider , S. Schafroth

On the basis of spin and pairing fluctuation-exchange approximation, we study the superconductivity in quasi-two-dimensional Hubbard model. The integral equations for the Green's function are self-consistently solved by numerical…

Superconductivity · Physics 2009-10-23 Xin-Zhong Yan

We study an extended Hubbard model with on-site repulsion and nearest neighbors attraction which tries to mimic some of the experimental features of doped cuprates in the superconducting state. We draw and discuss the phase diagram as a…

Superconductivity · Physics 2009-10-31 J. Ferrer , J. Sánchez-Cañizares , M. A. González-Alvarez

We study the interplay between electron correlation and disorder in the two-dimensional Hubbard model at half-filling by means of a variational wave function that can interpolate between Anderson and Mott insulators. We give a detailed…

Strongly Correlated Electrons · Physics 2015-05-13 Maria Elisabetta Pezzoli , Federico Becca

We compute quasi-exact \emph{ab initio} path-integral Monte Carlo results for the Matsubara Green's function of the uniform electron gas (UEG) at finite temperature over a broad range of coupling strengths ($r_s=1,\dots,10)$. This allows us…

Quantum Gases · Physics 2026-01-22 Paul Hamann , Michael Bonitz , Jan Vorberger , Tobias Dornheim

A nonperturbative method to obtain on- and off-site one-particle Green's function is introduced and applied to noninteracting Hubbard model with next nearest neighbor hopping and interacting Hubbard model in large dimensions, for example.…

Strongly Correlated Electrons · Physics 2008-02-03 Jongbae Hong

A representation of Lattice Gauge Theories (LGT) suitable for simulations with tensor network state methods or with quantum computers requires a truncation of the Hilbert space to a finite dimensional approximation. In particular for U(1)…

High Energy Physics - Lattice · Physics 2025-12-19 Timo Jakobs , Marco Garofalo , Tobias Hartung , Karl Jansen , Paul Ludwig , Johann Ostmeyer , Simone Romiti , Carsten Urbach

The recent advances in angle resolved photoemission techniques allowed the unambiguous experimental confirmation of spin charge decoupling in quasi one dimensional (1D) Mott insulators. This opportunity stimulates a quantitative analysis of…

Strongly Correlated Electrons · Physics 2015-05-14 Valeria Lante , Alberto Parola

The slave boson mean-field studies of the ground state of the Hubbard model with correlated hopping were performed. The approach qualitatively recovers the exact results for the case of the hopping integral t equal to the correlated hopping…

Superconductivity · Physics 2009-10-30 Bogdan R. Bulka