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To the Hubbard model on a square lattice we add an interaction, $W$, which depends upon the square of a near-neighbor hopping. We use zero temperature quantum Monte Carlo simulations on lattice sizes up to $16 \times 16$, to show that at…

Strongly Correlated Electrons · Physics 2009-10-30 F. F. Assaad , M. Imada , D. J. Scalapino

The Widom line identifies the locus in the phase diagram where a supercritical gas crosses over from gas-like to a more liquid-like behavior. A similar transition exists in correlated electron liquids, where the interplay of Coulomb…

High-temperature superconductivity emerges in a host of different quantum materials, often in a region of the phase diagram where the electronic kinetic energy is comparable in magnitude with the electron-electron Coulomb repulsion.…

Strongly Correlated Electrons · Physics 2020-12-14 Morten H. Christensen , Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

The dimerized Kane-Mele model with/without the strong interaction is studied using analytical methods. The boundary of the topological phase transition of the model without strong interaction is obtained. Our results show that the…

Strongly Correlated Electrons · Physics 2021-03-17 Tao Du , Yue-Xun Li , Yan Li , He-Lin Lu , Hui Zhang

We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott…

Strongly Correlated Electrons · Physics 2020-08-26 Sudeshna Sen , Patrick J. Wong , Andrew K. Mitchell

We use determinant Quantum Monte Carlo simulations and exact diagonalization to explore insulating behavior in the Hubbard model with a bimodal distribution of randomly positioned local site energies. From the temperature dependence of the…

Strongly Correlated Electrons · Physics 2007-07-10 N. Paris , A. Baldwin , R. T. Scalettar

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 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 by dynamical mean field theory the ground state of a quarter-filled Hubbard model of two bands with different bandwidths. At half-filling, this model is known to display an orbital selective Mott transition, with the narrower band…

Strongly Correlated Electrons · Physics 2018-07-11 Francesco Grandi , Adriano Amaricci , Massimo Capone , Michele Fabrizio

The Mott-Hubbard metal-insulator transition is studied within a simplified version of the Dynamical Mean-Field Theory (DMFT) in which the coupling between the impurity level and the conduction band is approximated by a single pole at the…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , M. Potthoff

A fundamental issue of the Mott transition is how electrons behaving as single particles carrying spin and charge in a metal change into those exhibiting separated spin and charge excitations (low-energy spin excitation and high-energy…

Strongly Correlated Electrons · Physics 2023-09-13 Masanori Kohno

We examine the competition and relationship between an antiferromagnetic (AF) Mott insulating state and a d_{x^2-y^2} superconducting (SC) state in two dimensions using semi-analytical, i. e. diagrammatic calculations of the t-U-W model.…

Superconductivity · Physics 2009-10-31 Thomas Eckl , Enrico Arrigoni , Werner Hanke , Fakher F. Assaad

We investigate the interaction-driven reorganization of spin and charge correlations in finite Hubbard clusters using exact diagonalization. Focusing on half-filled and lightly doped square lattices, we analyze spin-resolved charge-gaps,…

Strongly Correlated Electrons · Physics 2026-02-25 Md Fahad Equbal , M. A. H. Ahsan

The metal-insulator transition in one dimensional fermionic systems with long-range interaction is investigated. We have focused on an excitation spectrum by the exact diagonalization technique in sectors with different momentum quantum…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Hatsugai

We calculate the zero-temperature gap and quasiparticle weight of the half-filled Hubbard model with a random dispersion relation. After extrapolation to the thermodynamic limit, we obtain reliable bounds on these quantities for the Hubbard…

Strongly Correlated Electrons · Physics 2009-10-31 R. M. Noack , F. Gebhard

The density-matrix renormalization group is used to study the phase diagram of the one-dimensional half-filled Hubbard model with on-site (U) and nearest-neighbor (V) repulsion, and hopping t. A critical line V_c(U) approximately equal to…

Strongly Correlated Electrons · Physics 2009-11-07 Eric Jeckelmann

The evolution of a Landau Fermi liquid into a nonmagnetic Mott insulator with increasing electronic interactions is one of the most puzzling quantum phase transitions in physics. The vicinity of the transition is believed to host exotic…

The variational cluster approximation is used to study the isotropic triangular-lattice Hubbard model at half filling, taking into account the nearest-neighbor ($t_1$) and next-nearest-neighbor ($t_2$) hopping parameters for magnetic…

Strongly Correlated Electrons · Physics 2017-02-28 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

We employ the projector quantum Monte Carlo simulations to study the ground-state properties of the square-lattice SU(4) Hubbard model with a $\pi$ flux per plaquette. In the weak coupling regime, its ground state is in the gapless Dirac…

Quantum Gases · Physics 2018-05-25 Zhichao Zhou , Congjun Wu , Yu Wang

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping…

Strongly Correlated Electrons · Physics 2007-05-23 Yasuo Ohashi , Yoshiaki Ōno