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We present an efficient diagrammatic method to describe nonlocal correlation effects in lattice fermion Hubbard-like models, which is based on a change of variables in the Grassmann path integrals. The new fermions are dual to the original…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , A. Georges

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

Statistical Mechanics · Physics 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

The canonical transformation diagonalizing the one-particle tight binding Hamiltonian for an alternating chain with two non-equivalent sites per unit cell has been used to introduce the Hubbard-like interactions (on-site, inter-site,…

Strongly Correlated Electrons · Physics 2009-10-31 F. D. Buzatu , G. Jackeli

The two-dimensional two-orbital Hubbard model is studied with the use of finite-size cluster worldline quantum Monte Carlo algorithm. This model is widely used for simulation of the band structure of FeAs clusters, which are structure…

Strongly Correlated Electrons · Physics 2016-12-28 Vladimir A. Kashurnikov , Andrey V. Krasavin , Yaroslav V. Zhumagulov

We determine the quantum phase diagram of the Hubbard chain with electron-hole symmetric correlated hopping at 1/2- and 1/4-filling using geometric concepts and continuum limit field theory. The long distance behavior of various correlation…

Condensed Matter · Physics 2007-05-23 A. A. Aligia , K. Hallberg , C. D. Batista , G. Ortiz

We demonstrate that summation of connected diagrams to high order starting from a BCS hamiltonian is a viable generic unbiased approach for strongly correlated fermions in superconducting or superfluid phases. For the 3D attractive Hubbard…

Strongly Correlated Electrons · Physics 2023-06-21 G. Spada , R. Rossi , F. Simkovic , R. Garioud , M. Ferrero , K. Van Houcke , F. Werner

Recent advancements in optical tweezers enable the trapping of arbitrary numbers of neutral atoms and molecules, even arrays of tweezers with variable geometry can be realized. These fascinating breakthroughs require novel full-dimensional…

Quantum Physics · Physics 2025-09-15 Matee ur Rehman , Paul Winter , Fabio Revuelta , Alejandro Saenz

The recently introduced coupled cluster (CC) downfolding techniques for reducing the dimensionality of quantum many-body problems recast the CC formalism in the form of the renormalization procedure allowing, for the construction of…

Quantum Physics · Physics 2021-11-08 Nicholas P. Bauman , Karol Kowalski

We determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction X in addition to the usual Coulomb repulsion U at half-filling. For large enough X and positive U the model shows three phases. For…

Strongly Correlated Electrons · Physics 2007-11-14 A. A. Aligia , A. Anfossi , L. Arrachea , C. Degli Esposti Boschi , A. O. Dobry , C. Gazza , A. Montorsi , F. Ortolani , M. E. Torio

We present a controlled perturbative approach to the low temperature phase diagram of highly inhomogeneous Hubbard models in the limit of small coupling, $t'$, between clusters. We apply this to the dimerized and checkerboard models. The…

Strongly Correlated Electrons · Physics 2009-11-11 Wei-Feng Tsai , Steven A. Kivelson

The Dynamical Cluster Approximation with Betts clusters is used to calculate the antiferromagnetic phase diagram of the 3D Hubbard model at half filling. Betts clusters are a set of periodic clusters which best reflect the properties of the…

Strongly Correlated Electrons · Physics 2009-11-11 P. R. C. Kent , M. Jarrell , T. A. Maier , Th. Pruschke

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

We present quantum Monte Carlo results for the Hubbard model on a ladder using the re-structuring method which employ eigenstates of two-site system on a rung to construct a complete set. From technical reasons we concentrate on the case in…

Condensed Matter · Physics 2007-05-23 Yasuko Munehisa

We outline how the coupled cluster method of microscopic quantum many-body theory can be utilized in practice to give highly accurate results for the ground-state properties of a wide variety of highly frustrated and strongly correlated…

Strongly Correlated Electrons · Physics 2014-10-24 R. F. Bishop , P. H. Y. Li , C. E. Campbell

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated by systematically improving mean field calculations. The Configuration Interaction basis set is constructed by…

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

We study the spinful fermionic Haldane-Hubbard model at half filling using a combination of quantum cluster methods: cluster perturbation theory (CPT), the variational cluster approximation (VCA), and cluster dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2016-02-19 Jingxiang Wu , Jean Paul Latyr Faye , David Sénéchal , Joseph Maciejko

A new lattice model is presented for correlated electrons on the unrestricted $4^L$-dimensional electronic Hilbert space $\otimes_{n=1}^L{\bf C}^4$ (where $L$ is the lattice length). It is a supersymmetric generalization of the Hubbard…

Condensed Matter · Physics 2009-10-22 Anthony J. Bracken , Mark D. Gould , Jon R. Links , Yao-Zhong Zhang

We apply the recently introduced Hubbard model approach to quantitatively describe the experimental charge stability diagram and tunnel coupling of silicon double quantum dot systems. The results calculated from both the generalized Hubbard…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 S. Das Sarma , Xin Wang , Shuo Yang

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland