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We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

The charge susceptibility of the two-dimensional repulsive Hubbard model is investigated using the diagram technique developed for the case of strong correlations. In this technique, a power series in the hopping constant is used. It is…

Strongly Correlated Electrons · Physics 2009-11-13 A. Sherman , M. Schreiber

We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and…

Quantum Gases · Physics 2016-01-20 Bogdan Damski , Jakub Zakrzewski

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We apply the density matrix renormalization group (DMRG) to study the phase diagram of the infinite U Hubbard model on 2-, 4-, and 6-leg ladders. Where the results are largely insensitive to the ladder width, we consider the results…

Strongly Correlated Electrons · Physics 2015-05-27 Li Liu , Hong Yao , Erez Berg , Steven A. Kivelson

In a Fermi system near or at half-filling, a specific superconducting pairing channel, if not explicitly included in the Hamiltonian, can be boosted by suppressing a competing pairing channel; this is exemplified by the enhancement of…

Strongly Correlated Electrons · Physics 2026-01-14 Shuyi Li , Cheng Peng , Yue Yu , B. Sriram Shastry , Chunjing Jia

The applicability of the Hartree-Fock and random phase approximations to models of strongly correlated electrons is discussed. The 2D Hubbard model is analyzed. An antiferromagnetic phase (at half filling) and Fermi liquid behavior (at low…

Condensed Matter · Physics 2007-05-23 F. Guinea , E. Louis , J. A. Verges

We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

Quantum Gases · Physics 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

We study the extended Hubbard model with both on-site and nearest neighbor Coulomb repulsion ($U$ and $V$, respectively) in the Dynamical Mean Field theory. At quarter filling, the model shows a transition to a charge ordered phase with…

Strongly Correlated Electrons · Physics 2009-10-31 R. Pietig , R. Bulla , S. Blawid

We develop a systematic self-consistent perturbative expansion for the self energy of Hubbard-like models. The interaction lines in the Feynman diagrams are dynamically screened by the charge fluctuations in the system. Although the formal…

Strongly Correlated Electrons · Physics 2007-05-23 G. Esirgen , H. -B. Schuttler , C. Grober , H. G. Evertz

Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…

The celebrated antiferromagnetic phase transition was realized in a most recent optical lattice experiment for 3D fermionic Hubbard model [Shao {\it et al}., Nature {\bf 632}, 267 (2024)]. Despite the great achievement, it was observed that…

Strongly Correlated Electrons · Physics 2026-05-12 Yu-Feng Song , Youjin Deng , Yuan-Yao He

Using the strong coupling diagram technique, we investigate the extended Hubbard model on a two-dimensional square lattice. This approach allows for charge and spin fluctuations and a short-range antiferromagnetic order at nonzero…

Strongly Correlated Electrons · Physics 2023-10-19 A Sherman

The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

We study the interplay of disorder and correlation in the one-dimensional hole-doped Hubbard-model with disorder (Anderson-Hubbard model) by using the density-matrix renormalization group method. Concentrating on the doped-hole density…

Strongly Correlated Electrons · Physics 2008-11-01 M. Okumura , S. Yamada , N. Taniguchi , M. Machida

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

We study the effect of disorder on the semimetal -- Mott insulator transition in the half-filled repulsive Hubbard model on a honeycomb lattice, a system that features vanishing density of states at the Fermi level. Using the determinant…

Strongly Correlated Electrons · Physics 2018-03-22 Tianxing Ma , Lufeng Zhang , Chia-Chen Chang , Hsiang-Hsuan Hung , Richard T. Scalettar

By use of the spectral density approach the influence of the lattice structure on the possibility of ferromagnetism in the single band Hubbard model is investigated. The d=\infty hypercubic lattice does not show magnetic phase transitions…

Strongly Correlated Electrons · Physics 2016-08-31 T. Herrmann , W. Nolting

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard