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Diagrammatic expansions are a central tool for treating correlated electron systems. At thermal equilibrium, they are most naturally defined within the Matsubara formalism. However, extracting any dynamic response function from a Matsubara…

Strongly Correlated Electrons · Physics 2020-02-19 Jaksa Vucicevic , Michel Ferrero

We calculate the one-particle spectral functions above the superconducting transition temperature $T_{C}$, in the framework of a functional integral approach. The coupling of the electronic self-energy to pair fluctuations, which are…

Condensed Matter · Physics 2009-10-31 Massimiliano Capezzali , Hans Beck

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently…

Superconductivity · Physics 2009-10-30 M. H. Pedersen , J. J. Rodriguez-Nunez , H. Beck , T. Schneider , S. Schafroth

Dynamical properties are studied numerically for a variant of the Kondo model with singlet and triplet crystalline electric field (CEF) levels where Kondo and CEF singlets compete for the ground state. Using the continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-02-28 Shintaro Hoshino , Junya Otsuki , Yoshio Kuramoto

Using finite-temperature determinantal quantum Monte Carlo simulations, we examine the thermodynamic properties of the extended Hubbard model on the half-filled square lattice in the Slater regime at intermediate coupling. We consider both…

Strongly Correlated Electrons · Physics 2022-10-19 Alexander Sushchyev , Stefan Wessel

A challenge - and opportunity - is offered to the Hubbard Model community of solutions extant for the strong coupling region. A rigorous and quantitatively demanding test - a Computer Lab - is presented based on certain exact results for…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

In this paper we compare numerical results for the ground state of the Hubbard model obtained by Quantum-Monte-Carlo simulations with results from exact and stochastic diagonalizations. We find good agreement for the ground state energy and…

Condensed Matter · Physics 2015-06-25 Thomas Husslein , Werner Fettes , Ingo Morgenstern

A strictly truncated (weak-coupling) perturbation theory is applied to the attractive Holstein and Hubbard models in infinite dimensions. These results are qualified by comparison with essentially exact Monte Carlo results. The second order…

Condensed Matter · Physics 2009-10-22 J. K. Freericks , Mark Jarrell

In this paper we report results from a systematic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the structure factor and the spectrum of single particle and…

Superconductivity · Physics 2007-05-23 Norbert Elstner , Hartmut Monien

We present a stability analysis of the 2D t-t' Hubbard model on a square lattice for various values of the next-nearest-neighbor hopping t' and electron concentration. Using the free energy expression, derived by means of the flow equations…

Strongly Correlated Electrons · Physics 2009-11-07 V. Hankevych , F. Wegner

A model of the three-dimensional rotating compressible Euler equations on the cubed sphere is presented. The model uses a mixed mimetic spectral element discretization which allows for the exact exchanges of kinetic, internal and potential…

Numerical Analysis · Mathematics 2020-12-01 D. Lee , A. Palha

The all-to-all momentum coupling of the Hubbard interaction makes interacting lattice models generically unsolvable. In many settings, however, from Peierls instabilities to Moir\'e superlattice physics, the low-energy behavior is dominated…

Strongly Correlated Electrons · Physics 2026-04-09 Dmitry Manning-Coe , Barry Bradlyn

The Mott-Hubbard metal-insulator transition in the paramagnetic phase of the one-band Hubbard model has long been used to describe similar features in real materials like V$_2$O$_3$. Here we show that this transition is hidden inside a…

Strongly Correlated Electrons · Physics 2009-11-10 R. Zitzler , N. Tong , Th. Pruschke , R. Bulla

We present an approach to the calculation of arbitrary spectral, thermal and excited state properties within the full configuration interaction quantum Monte Carlo framework. This is achieved via an unbiased projection of the Hamiltonian…

Strongly Correlated Electrons · Physics 2015-08-05 N. S. Blunt , Ali Alavi , George H. Booth

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of…

Strongly Correlated Electrons · Physics 2009-11-04 K. Mikelsons , E. Khatami , D. Galanakis , A. Macridin , J. Moreno , M. Jarrell

The spectral function of transverse spin fluctuations, including the contributions from both the single-particle and the collective (magnon) excitations in an antiferromagnet, is evaluated for the Hubbard model with NN and NNN hoppings in…

Strongly Correlated Electrons · Physics 2007-05-23 Avinash Singh

Although the Hubbard model is widely investigated, there are surprisingly few attempts to study the behavior of such a model in an external magnetic field. Using the Projector Quantum Monte Carlo technique, we show that the Hubbard model…

Strongly Correlated Electrons · Physics 2009-10-30 F. Bagehorn , R. Hetzel

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than it has been done…

Other Condensed Matter · Physics 2007-07-12 B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

Exact relations are derived for the Fermi Hubbard spectral weight function for infinite U at zero temperature in the thermodynamic limit for any dimension,any lattice structure and general hopping matrix. These relations involve moments of…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling