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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 Hund's-rule-exchange induced and coexisting spin-triplet paired and magnetic states are considered within the doubly degenerate Hubbard model with interband hybridization. The Hartree-Fock approximation combined with the…

Superconductivity · Physics 2015-06-05 Michał Zegrodnik , Jozef Spałek

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

Motivated by dimensional crossover in layered organic ${\kappa}$ salts, we determine the phase diagram of a system of four periodically coupled Hubbard chains with frustration at half filling as a function of the interchain hopping…

Strongly Correlated Electrons · Physics 2018-01-12 G. Ehlers , B. Lenz , S. R. Manmana , R. M. Noack

By employing the density-matrix renormalization group method, we study an extended checkerboard Hubbard model on the two-leg ladder, which includes an intraplaquette nearest-neighbour attraction V. The simulated results show that V plays a…

Superconductivity · Physics 2025-10-21 Xichen Huang , Saisai He , Jize Zhao , Zhong-Bing Huang

We use density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on honeycomb lattice with first (J1) and second (J2) neighbor antiferromagnetic interactions, where a Z2 spin liquid…

Strongly Correlated Electrons · Physics 2013-11-13 Shou-Shu Gong , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

Ground state properties of the repulsive Hubbard model on a cubic lattice are investigated by means of the auxiliary-field quantum Monte Carlo method. We focus on low-density systems with varying on-site interaction $U/t$, as a model…

Quantum Gases · Physics 2010-12-30 Chia-Chen Chang , Shiwei Zhang , David M. Ceperley

The dynamical structure factor is an important observable of quantum magnets but due to numerical and theoretical limitations, it remains a challenge to make predictions for Hubbard-like models beyond one dimension. In this work, we study…

Strongly Correlated Electrons · Physics 2023-03-01 Josef Willsher , Hui-Ke Jin , Johannes Knolle

We study the phase diagram of the frustrated Heisenberg model on the triangular lattice with nearest and next-nearest neighbor spin exchange coupling, on 3-leg ladders. Using the density-matrix renormalization-group method, we obtain the…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , B. J. Powell , I. P. McCulloch

We consider repulsively-interacting cold fermionic atoms loaded on an optical ladder lattice in a trapping potential. The density-matrix renormalization-group method is used to numerically calculate the ground state for systematically…

Quantum Gases · Physics 2011-04-25 M. Okumura , S. Yamada , M. Machida , H. Aoki

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

Strongly Correlated Electrons · Physics 2025-04-10 A. Sherman

Magnetic phase diagram for the Hubbard model on the Beta-Mn type lattice has been calculated as a function of the Coulomb interaction energy parameter U and the electron number per atom n by using the generalized Hartree-Fock approximation…

Strongly Correlated Electrons · Physics 2024-03-13 Yoshiro Kakehashi

The weak-coupling renormalization group method is an asymptotically exact method to find superconducting instabilities of a lattice model of correlated electrons. Here we extend it to spin-orbit coupled lattice systems and study the…

Superconductivity · Physics 2020-12-02 Sebastian Wolf , Stephan Rachel

The one-electron density of states for the half-filled Hubbard model on a triangular lattice is studied as a function of both temperature and Hubbard U using Quantum Monte Carlo. We find three regimes: (1) a strong-coupling Mott-Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. Refolio , J. M. Lopez Sancho , J. Rubio

We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta , Leonid P. Pryadko , Fabien Alet , Matthias Troyer , Guido Schmid

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

The one-band Hubbard model at half-filling on a truncated tetrahedron (C$_{12}$), and on the C$_{60}$ molecule is studied. Within the Hartree-Fock approximation, we find a magnetic-like instability of the `Fermi sea' towards a spin-ordered…

Condensed Matter · Physics 2014-10-13 L. Bergomi , J. P. Blaizot , Th. Jolicoeur , E. Dagotto

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

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended…

Strongly Correlated Electrons · Physics 2015-08-05 Florian Lange , Satoshi Ejima , Holger Fehske

The $120^0$ ordered antiferromagnetic state of the Hubbard model on a triangular lattice presents an interesting case of $U$-controlled competing interactions and frustration. The spin stiffness is found to vanish at $U^* _{\rm stiff}…

Strongly Correlated Electrons · Physics 2009-11-10 Avinash Singh
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