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Density matrix embedding theory (DMET) provides a framework to describe ground-state expectation values in strongly correlated systems, but its extension to dynamical quantities is still an open problem. We show one route to obtaining…

Strongly Correlated Electrons · Physics 2025-11-13 Shuoxue Li , Chenghan Li , Huanchen Zhai , Garnet Kin-Lic Chan

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

Electron densities at the edge site in one-dimensional Hubbard model and t-J model are studied by using the Bethe ansatz solutions and exact diagonalization method. It is found that the boundary is electron-attractive, or equivalently…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroki Tsuchiura , Masao Ogata , Yukio Tanaka , Satoshi Kashiwaya

We investigate the principles of quantum field theory using a stiff de Sitter space. We demonstrate that a non-unitary Lagrangian on a Euclidean AdS geometry can produce the perturbative expansion of late-time correlation functions to all…

High Energy Physics - Theory · Physics 2026-03-05 Sayantan Choudhury

Most realistic calculations of moderately correlated materials begin with a ground-state density functional theory (DFT) calculation. While Kohn-Sham DFT is used in about 40,000 scientific papers each year, the fundamental underpinnings are…

Strongly Correlated Electrons · Physics 2022-09-26 Kieron Burke , John Kozlowski

We examine the density-density correlation function in the Tomonaga-Luttinger liquid state for the one-dimensional extended Hubbard model with the on-site Coulomb repulsion $U$ and the intersite repulsion $V$ at quarter filling. By taking…

Strongly Correlated Electrons · Physics 2015-05-14 S. Nishimoto , M. Tsuchiizu

The response of a one-dimensional fermion system is investigated using Density Functional Theory (DFT) within the Local Density Approximation (LDA), and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some…

Strongly Correlated Electrons · Physics 2008-10-30 Stefan Schenk , Michael Dzierzawa , Peter Schwab , Ulrich Eckern

Using the Lanczos exact-diagonalization and density-matrix renormalization group methods, we study the extended Hubbard model at quarter filling defined on the anisotropic triangular lattice. We focus on charge ordering (CO) phenomena…

Strongly Correlated Electrons · Physics 2009-11-13 S. Nishimoto , M. Shingai , Y. Ohta

We have completed a numerical investigation of the Anderson-Hubbard model for three-dimensional simple cubic lattices using a real-space self-consistent Hartree-Fock decoupling approximation for the Hubbard interaction. In this formulation…

Strongly Correlated Electrons · Physics 2015-05-13 X. Chen , R. J. Gooding

The formalism for exactly calculating the retarded and advanced Green's functions of strongly correlated lattice models in a uniform electric field is derived within dynamical mean-field theory. To illustrate the method, we solve for the…

Strongly Correlated Electrons · Physics 2009-07-09 A. V. Joura , J. K. Freericks , Th. Pruschke

Density-matrix renormalization group is used to study the pairing when both of electron-electron and electron-phonon interactions are strong in the Holstein-Hubbard model at half-filling in a region intermediate between the adiabatic…

Strongly Correlated Electrons · Physics 2009-09-29 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

The adiabatic connection of density functional theory (DFT) for electronic systems is generalized here to negative values of the coupling strength $\alpha$ (with {\em attractive} electrons). In the extreme limit $\alpha\to-\infty$ a simple…

Other Condensed Matter · Physics 2015-05-14 Michael Seidl , Paola Gori-Giorgi

The model of dense lattice polymers is studied as an example of non-unitary Conformal Field Theory (CFT) with $c=-2$. ``Antisymmetric'' correlation functions of the model are proved to be given by the generalized Kirchhoff theorem.…

Statistical Mechanics · Physics 2008-11-26 E. V. Ivashkevich

We present an extensive numerical study of ground-state properties of confined repulsively interacting fermions on one-dimensional optical lattices. Detailed predictions for the atom-density profiles are obtained from parallel Kohn-Sham…

Strongly Correlated Electrons · Physics 2012-08-27 Gao Xianlong , Marco Polini , M. P. Tosi , Vivaldo L. Campo, , Klaus Capelle , Marcos Rigol

We study the fundamentals of quantum field theory on a rigid de Sitter space. We show that the perturbative expansion of late-time correlation functions to all orders can be equivalently generated by a non-unitary Lagrangian on a Euclidean…

High Energy Physics - Theory · Physics 2026-01-09 Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu

The Hubbard Hamiltonian is investigated by means of a variational trial wave function of Gutzwiller's type. The wave function includes nearest - neighbor correlations in an explicit form. To calculate density matrices the method of…

Strongly Correlated Electrons · Physics 2009-10-30 Yu. B. Kudasov

We have performed large-scale density-matrix renormalization group studies of the lightly doped Hubbard model on the honeycomb lattice on long three and four-leg cylinders. We find that the ground state of the system upon lightly doping is…

Strongly Correlated Electrons · Physics 2023-03-23 Cheng Peng , D. N. Sheng , Hong-Chen Jiang

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

Chemical Physics · Physics 2012-01-12 Emmanuel Fromager

Interfacing unbiased quantum Monte Carlo simulations with state-of-art analytic continuation techniques, we obtain exact numerical results for dynamical density and spin correlations in the attractive Hubbard model, describing a…

Quantum Gases · Physics 2020-12-07 Ettore Vitali , Patrick Kelly , Annette Lopez , Gianluca Bertaina , Davide Emilio Galli

We prove analyticity theorems in the coupling constant for the Hubbard model at half-filling. The model in a single renormalization group slice of index $i$ is proved to be analytic in $\lambda$ for $|\lambda| \le c/i$ for some constant…

Strongly Correlated Electrons · Physics 2007-05-23 Vincent Rivasseau