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An efficient scheme is introduced for a fast and smooth convergence to the thermodynamic limit with finite size cluster calculations. This is obtained by modifying the energy levels of the non interacting Hamiltonian in a way consistent…

Strongly Correlated Electrons · Physics 2015-05-12 Sandro Sorella

The Quantum Monte-Carlo simulations of the two-dimensional Hubbard model are presented for the half filling. The method based on the direct-space proposed by Suzuki and al., and Hirsch and al. was used. The states generated by this method…

Strongly Correlated Electrons · Physics 2008-10-10 Bernard Martinie

The nonequilibrium dynamics of correlated charge transfer along a one-dimensional chain in presence of a phonon environment is investigated within a dissipative Hubbard model. For this generalization of the ubiquitous spin-boson model the…

Statistical Mechanics · Physics 2009-11-11 Lothar Muehlbacher , Joachim Ankerhold

We use Quantum Monte Carlo (QMC) simulations to study the pairing mechanism in a one-dimensional fermionic system governed by the Hubbard model with attractive contact interaction and with imbalance between the two spin populations. This is…

Quantum Gases · Physics 2015-03-17 M. J. Wolak , V. G. Rousseau , G. G. Batrouni

Using Quantum Monte Carlo we compute thermodynamics and spectra for the orbitally degenerate Hubbard model in infinite spatial dimensions. With increasing orbital degeneracy we find in the one-particle spectra: broader Hubbard bands…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Han , M. Jarrell , D. L. Cox

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated. Dressed spin polarons in neighboring sites have an increased kinetic energy and an enhanced hopping rate. Both…

Strongly Correlated Electrons · Physics 2009-10-31 E. Louis , F. Guinea , M. P. Lopez Sancho , J. A. Verges

We derive the exact dual representation of the bosonic Hubbard model which takes the form of conserved current loops. The hardcore limit, which corresponds to the quantum spin-${1\over 2}$ Heisenberg antiferromagnet, is also obtained. In…

Statistical Mechanics · Physics 2009-10-31 G. G. Batrouni , H. Mabilat

We present the complete phase diagram for one-dimensional binary mixtures of bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with direct numerical diagonalization for small number of atoms, which permits us to…

Superconductivity is an emergent phenomena in the sense that the energy scale associated with Cooper pairing is generically much lower than the typical kinetic energy of electrons. Addressing the mechanism of Cooper pairing amounts to…

Superconductivity · Physics 2017-06-14 Zi-Xiang Li , Fa Wang , Hong Yao , Dung-Hai Lee

Quantum Monte Carlo and semiclassical methods are used to solve two and four site cluster dynamical mean field approximations to the square lattice Hubbard model at half filling and strong coupling. The energy, spin correlation function,…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Fuhrmann , Satoshi Okamoto , Hartmut Monien , Andrew J. Millis

We study a two-dimensional model of an isolated narrow topological band at partial filling with local attractive interactions. Numerically exact quantum Monte Carlo calculations show that the ground state is a superconductor with a critical…

Strongly Correlated Electrons · Physics 2020-11-18 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury

We have studied the spin-polarized three-dimensional homogeneous electron gas using the diffusion quantum Monte Carlo method, with trial wave functions including backflow and three-body correlations in the Jastrow factor, and we have used…

Strongly Correlated Electrons · Physics 2013-08-28 G G Spink , R J Needs , N D Drummond

We study the Cu_{5}O_{4} cluster by exact diagonalization of a three-band Hubbard model and show that bound electron or hole pairs are obtained at appropriate fillings, and produce superconducting flux quantisation. The results extend…

Superconductivity · Physics 2009-10-31 Michele Cini , Adalberto Balzarotti , Gianluca Stefanucci

By developing a cluster sampling of stochastic series expansion quantum Monte Carlo method, we investigate a spin-$1/2$ model on a bilayer square lattice with intra-layer ferromagnetic (FM) Ising coupling and inter-layer antiferromagnetic…

Quantum Physics · Physics 2023-05-10 Siying Wu , Binbin Yin , Xiaoxue Ran , Qi-Fang Li , Bin-Bin Mao , Yan-Cheng Wang , Zheng Yan

We study a strongly correlated fermionic model with attractive interactions in the presence of disorder in two spatial dimensions. Our model has been designed so that it can be solved using the recently discovered meron-cluster approach.…

Strongly Correlated Electrons · Physics 2007-05-23 Ji-Woo Lee , Shailesh Chandrasekharan , Harold U. Baranger

The two-band Hubbard model involving subbands of different widths is investigated via finite-temperature exact diagonalization (ED) and dynamical mean field theory (DMFT). In contrast to the quantum Monte Carlo (QMC) method which at low…

Strongly Correlated Electrons · Physics 2009-11-11 A. Liebsch , T. A. Costi

The optical conductivity \sigma(\omega) in the two-dimensional Hubbard model is examined by applying the exact diagonalization technique to small square clusters with periodic boundary conditions up to \sqrt{20} X \sqrt{20} sites.…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tohyama , Y. Inoue , K. Tsutsui , S. Maekawa

The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive…

Strongly Correlated Electrons · Physics 2014-09-17 V. I. Iglovikov , F. Hébert , B. Grémaud , G. G. Batrouni , R. T. Scalettar

We show that the physics of the SU($N$) Hubbard model can be realistically simulated with the recently developed orbital Hatsugai-Kohmoto model. In this approach, the momentum mixing absent from the band Hatsugai-Kohmoto model is included…

Strongly Correlated Electrons · Physics 2025-06-27 Nico A. Hackner , Peizhi Mai , Philip W. Phillips

We report large scale determinant Quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling. The sharp Fermi surface of…

Strongly Correlated Electrons · Physics 2010-04-07 C. N. Varney , C. -R. Lee , Z. J. Bai , S. Chiesa , M. Jarrell , R. T. Scalettar