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Related papers: Charge-Density Wave Order on a $\pi$-flux Square L…

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We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

Combined effects of electron correlations and lattice distortions are investigated on the charge ordering in \theta-(BEDT-TTF)2RbZn(SCN)4 theoretically in a two-dimensional 3/4-filled extended Hubbard model with electron-lattice couplings.…

Strongly Correlated Electrons · Physics 2009-11-13 Satoshi Miyashita , Kenji Yonemitsu

Determinant Quantum Monte Carlo (DQMC) is used to determine the pairing and magnetic response for a Hubbard model built up from four-site clusters -a two-dimensional square lattice consisting of elemental 2x2 plaquettes with hopping $t$ and…

Strongly Correlated Electrons · Physics 2014-08-19 T. Ying , R. Mondaini , X. D. Sun , T. Paiva , R. M. Fye , R. T. Scalettar

We present the numerically exact ground state energy, effective mass, and isotope exponents of a one-dimensional lattice polaron, valid for any range of electron-phonon interaction, applying a new continuous-time Quantum Monte Carlo (QMC)…

Strongly Correlated Electrons · Physics 2009-11-10 P. E. Spencer , J. H. Samson , P. E. Kornilovitch , A. S. Alexandrov

We employ the determinant quantum Monte Carlo method to study the finite-temperature properties of the half-filled attractive SU($3$) Hubbard model on a honeycomb lattice. We calculate the phase diagram in which the phase boundary separates…

Quantum Gases · Physics 2023-10-05 Xiang Li , Han Xu , Yu Wang

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

High Energy Physics - Lattice · Physics 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

We consider the extended half-filled Hubbard model on the honeycomb lattice for second nearest neighbors interactions. Using a functional integral approach, we find that collective fluctuations suppress topological states and instead favor…

Strongly Correlated Electrons · Physics 2018-10-31 Elliot Christou , Bruno Uchoa , Frank Krüger

Motivated by recent experiments on atomic Dirac fermions in a tunable honeycomb optical lattice, we study the attractive Hubbard model of superfluidity in the anisotropic honeycomb lattice. At weak-coupling, we find that the maximum mean…

Quantum Gases · Physics 2015-06-05 Shunji Tsuchiya , R. Ganesh , Arun Paramekanti

The ubiquitous tendency of superconducting cuprates to form charge density waves (CDWs) has reignited interest in the nature of their electron-phonon interaction and its role in shaping their phase diagrams. While pronounced dispersion…

We investigate charge ordering in the Holstein model in the presence of anisotropic hopping, $t_x, t_y=1-\delta, 1 + \delta$, as a model of the effect of strain on charge density wave (CDW) materials. Using Quantum Monte Carlo simulations,…

Strongly Correlated Electrons · Physics 2019-07-24 B. Cohen-Stead , N. C. Costa , E. Khatami , R. T. Scalettar

We study the superconductivity of strongly coupled electron-phonon systems where the geometry of the lattice frustrates the charge order by the sign-problem-free Quantum Monte Carlo(QMC) method. The results suggest that with charge order…

Strongly Correlated Electrons · Physics 2019-12-11 Zi-Xiang Li , Marvin L. Cohen , Dung-Hai Lee

Ultracold multicomponent fermions (atoms/molecules) loaded in optical lattices provide an ideal platform for simulating SU($N$) Hubbard models that host unconventional many-body quantum states beyond SU(2). A prime example is the attractive…

Quantum Gases · Physics 2025-12-23 Xiang Li , Yumeng Li , Quan Fu , Yu Wang

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

We use the dynamical mean-field method to calculate the charge density wave transition temperature of the half-filled Holstein model as function of typical phonon frequency in the physically relevant adiabatic limit of phonon frequency…

Strongly Correlated Electrons · Physics 2009-10-31 S. Blawid , A. J. Millis

The interplay between charge density wave (CDW) order and superconductivity has attracted much attention. This is the central issue of along standing debate in simple transition metal dichalcogenides without strong electronic correlations,…

We present a determinant quantum Monte Carlo study of the competition between instantaneous on-site Coulomb repulsion and retarded phonon-mediated attraction between electrons, as described by the two dimensional Hubbard-Holstein model. At…

Strongly Correlated Electrons · Physics 2015-06-11 E. A. Nowadnick , S. Johnston , B. Moritz , R. T. Scalettar , T. P. Devereaux

Charge-density-wave (CDW) order in correlated metals originates in a peaked electronic susceptibility at a finite wavevector $\mathbf Q_0$, set either by Fermi-surface features (nesting or saddle-point singularities) or by momentum-resolved…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Han Huang

Electron-lattice coupling effects in low dimensional materials give rise to charge density wave (CDW) order and phase transitions. These phenomena are critical ingredients for superconductivity and predominantly occur in metallic model…