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We reexamine whether the essence of high-Tc superconductivity is contained in doped Hubbard models on the square lattice by using recently developed pre-projected Gaussian-basis Monte Carlo method. The superconducting correlations of the…

Strongly Correlated Electrons · Physics 2007-12-04 Takeshi Aimi , Masatoshi Imada

We introduce a diagrammatic multi-scale approach to the Hubbard model based on the interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent medium. The vertex captures short-ranged correlations up to the…

Strongly Correlated Electrons · Physics 2024-06-25 Dominik Kiese , Nils Wentzell , Igor Krivenko , Olivier Parcollet , Karsten Held , Friedrich Krien

Multi-qubit quantum sensors are rapidly emerging as platforms that extend the capabilities of conventional single-qubit sensing. In this work we show how suitable pulse sequences applied to a two-qubit sensor enable separate extraction of…

We consider a Hubbard-Anderson model which describes localized orbitals in five different sites hybridized both among themselves and with a continuum of extended states. A square planar geometry with an atom at the center is used to…

Strongly Correlated Electrons · Physics 2011-06-24 M. Romero , A. A. Aligia

We present a systematic study of the response properties of two-band (multi-gap) superconductors with spin-singlet (s-wave) pairing correlations, which are assumed to be caused by both intraband (\lambda_{ii}, i=1,2) and interband…

Superconductivity · Physics 2014-06-24 Nikolaj Bittner , Dietrich Einzel

The fate of spin-charge separation beyond the low energy remains elusive up to now. Here we develop a microscopic theory of the correlation functions using the strong coupling expansion of the Hubbard model and demonstrate its validity down…

Strongly Correlated Electrons · Physics 2025-10-13 Oleksandr Tsyplyatyev , Yiqing Jin , María Moreno , Wooi Kiat Tan , Christopher J. B. Ford

A new diagrammatic technique is developed to describe nonlocal effects (e.g., pseudogap formation) in the Hubbard-like models. In contrast to cluster approaches, this method utilizes an exact transition to the dual set of variables, and it…

Strongly Correlated Electrons · Physics 2007-05-23 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

The aim of this article is to propose a model, that is a planar version of the Full Two-Body Problem, and discuss the existence and stability of a relevant periodic solution. Consider two homogeneous ellipsoids orbiting around each other in…

Dynamical Systems · Mathematics 2021-05-26 Mauricio Misquero

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck

A description of a large system of particles is often sought in a derivation from the detailed behaviour of just a few of the particles. The present thesis deals with the connection between such microscopic features and the nature of a…

Soft Condensed Matter · Physics 2007-05-23 O. Sørensen

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Strongly Correlated Electrons · Physics 2014-11-25 Anamitra Mukherjee , Niravkumar D. Patel , Shuai Dong , Steve Johnston , Adriana Moreo , Elbio Dagotto

We present studies of the atomic limit of the extended Hubbard model with pair hopping for arbitrary electron density and arbitrary chemical potential. The Hamiltonian consists of (i) the effective on-site interaction $U$ and (ii) the…

Strongly Correlated Electrons · Physics 2014-11-04 Konrad Kapcia

The Hofstadter-Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moir\'e materials. Few large-scale, numerically exact simulations exists for…

Strongly Correlated Electrons · Physics 2022-08-16 Jixun K. Ding , Wen O. Wang , Brian Moritz , Yoni Schattner , Edwin W. Huang , Thomas P. Devereaux

The two-dimensional Hubbard model is studied using the variational quantum Monte Carlo technique with Gutzwiller-type variational wave functions. In addition to the simple one-site correlated Gutzwiller wave function, we use a form with…

Strongly Correlated Electrons · Physics 2007-05-23 A. Harju

We revisit the problem of characterizing band topology in dynamically-stable quadratic bosonic Hamiltonians that do not conserve particle number. We show this problem can be rigorously addressed by a smooth and local adiabatic mapping…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Gaurav Chaudhary , Michael Levin , Aashish A. Clerk

We formulate the Hubbard model for the simple cubic lattice in the representation of interacting dimers applying the exact solution of the dimer problem. By eliminating from the considerations unoccupied dimer energy levels in the large U…

Strongly Correlated Electrons · Physics 2009-11-07 M. Matlak , J. Aksamit , B. Grabiec , W. Nolting

Diffusion Monte Carlo is one of the most accurate scalable many-body methods for solid state systems. However, to date, spin-orbit interactions have not been incorporated into these calcualtions at a first-principles level; only having been…

Materials Science · Physics 2020-03-04 Yueqing Chang , Lucas K. Wagner

The two-orbital Hubbard model with the Hund coupling is investigated in a metallic phase close to the Mott insulator. We calculate the one-particle spectral function and the optical conductivity within dynamical mean field theory, for which…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

The DCA$^+$ algortihm was recently introduced to extend the dynamic cluster approximation (DCA) with a continuous lattice self-energy in order to achieve better convergence with cluster size. Here we extend the DCA$^+$ algorithm to the…

Strongly Correlated Electrons · Physics 2015-06-18 Peter Staar , Thomas Maier , Thomas Schulthess

Motivated by the phenomenology of the high-Tc cuprates, a two dimensional fermionic model with attractive interactions is here discussed. The exact solution to the two particle problem leads to a bound state in the $d_{x^2 - y^2}$ subspace.…

Condensed Matter · Physics 2008-02-03 Alexander Nazarenko , Adriana Moreo , Jose Riera , Elbio Dagotto