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The charge dynamical response function of the $t-t'-U$ Hubbard model is investigated on the square lattice in the thermodynamical limit. The correlation function is calculated from Gaussian fluctuations around the paramagnetic saddle-point…

Strongly Correlated Electrons · Physics 2022-04-11 Vu Hung Dao , Raymond Frésard

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

Strongly Correlated Electrons · Physics 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

A simple effective model of charge ordered insulators is studied. The tight binding Hamiltonian consists of the effective on-site interaction U and the intersite density-density interactions Wij (both: nearest-neighbour and…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Waldemar Klobus , Stanislaw Robaszkiewicz

A mean field calculation of the Hubbard model finds a rich phase diagram. The antiferromagnetic phase is generally unstable away from half filling, and there are several regions of phase separation. One solution in particular closely…

Superconductivity · Physics 2009-11-07 C. Kusko , R. S. Markiewicz

We study the electronic states of the anisotropic triangular lattice Hubbard model at half filling, which is a simple effective model for the organic superconducting $\kappa$-BEDT-TTF compounds. We treat the effect of the Coulomb…

Superconductivity · Physics 2015-06-25 Hiori Kino , Hioshi Kontani

We have studied the ground state properties of Hubbard model on long six-leg square cylinders with doped hole concentration per site $5.55\% \leq \delta\leq 12.5\%$ using density-matrix renormalization group. By keeping a large number of…

Strongly Correlated Electrons · Physics 2023-03-29 Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

We obtain the quantum phase diagram of the ionic Hubbard model including electron-hole symmetric density-dependent hopping. The boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which…

Strongly Correlated Electrons · Physics 2023-04-11 P. Roura Bas , A. A. Aligia

We study the competition between long- and short-range interactions among charge carriers in strongly-correlated electronic systems employing a new method which combines the density-matrix renormalization-group technique with a…

Strongly Correlated Electrons · Physics 2009-10-31 E. Arrigoni , A. P. Harju , W. Hanke , B. Brendel , S. A. Kivelson

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

Recent experiment has unveiled an anomalously strong electron-electron attraction in one-dimensional copper-oxide chain Ba$_{2-x}$Sr$_x$CuO$_{3+\delta}$. While the near-neighbor electron attraction $V$ in the one-dimensional extended…

Strongly Correlated Electrons · Physics 2023-05-09 Cheng Peng , Yao Wang , Jiajia Wen , Young Lee , Thomas Devereaux , Hong-Chen Jiang

We study the ground state phase diagram of the Anderson-Hubbard model with correlated hopping at half filling in one-dimension. The Hamiltonian has a local Coulomb repulsion $U$ and a disorder potential with local energies randomly…

Strongly Correlated Electrons · Physics 2017-07-19 Francesca Battista , Alberto Camjayi , Liliana Arrachea

We present a stability analysis of the 2D t-t' Hubbard model on a square lattice for t' = -t/6. We find possible phases of the model (d-wave Pomeranchuk and superconducting states, band splitting, singlet and triplet flux phases), and study…

Strongly Correlated Electrons · Physics 2007-05-23 F. Wegner , V. Hankevych

To date, the Hubbard model and its strong coupling limit, the t-J model, serve as the canonical model for strongly correlated electron systems in solids. Approximating the Coulomb interaction by only the on-site term (Hubbard U-term),…

Superconductivity · Physics 2017-04-28 Tao Sun

We study the extended Hubbard model away from half-filling on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size $8$. We show that the model exhibits metallic, compressible charge ordered, and…

Strongly Correlated Electrons · Physics 2019-04-05 Hanna Terletska , Tianran Chen , Joseph Paki , Emanuel Gull

We prove a stability version of Harper's cube vertex isoperimetric inequality, showing that subsets of the cube with vertex boundary close to the minimum possible are close to (generalised) Hamming balls. Furthermore, we obtain a local…

Combinatorics · Mathematics 2018-07-26 Peter Keevash , Eoin Long

Inspired by the recent experimental progress in pyrochlore derivative RE$_3$Sb$_3$A$_2$O$_{14}$ (A = Mg, Zn), we investigate the Hubbard model on the kagome lattice with an additional hopping $t'/t$, which enables continuous interpolation…

Strongly Correlated Electrons · Physics 2026-04-29 Zixuan Jia , Lufeng Zhang , Qingzhuo Duan , Zenghui Fan , Jingyao Wang , Ying Liang , Bing Huang , Tianxing Ma

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the…

Quantum Gases · Physics 2016-01-20 Benoît Grémaud , George G. Batrouni

The properties of the two-chain Hubbard Model doped away from half-filling are investigated. The charge gap is found to vanish, but a finite spin gap exists over a range of interchain hopping strength $t_\perp$. In this range, there are…

Condensed Matter · Physics 2009-10-22 R. M. Noack , S. R. White , D. J. Scalapino

We study the Hartree ground state of a dipolar condensate of atoms or molecules in an three-dimensional anisotropic geometry and at T=0. We determine the stability of the condensate as a function of the aspect ratios of the trap frequencies…

Other Condensed Matter · Physics 2009-11-13 O. Dutta , P. Meystre

We attempt to access the regime of strong coupling between charge carriers and transverse dynamics of an isolated conducting ``stripe'', such as those found in cuprate superconductors. A stripe is modeled as a partially doped domain wall in…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Tchernyshyov , Leonid P. Pryadko