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Cold atom systems provide a rich platform to realize strongly interacting condensed matter systems, and recent progress in fluorescence imaging technique has enabled identification of nontrivial doublon, singlon, and holon correlation…

Strongly Correlated Electrons · Physics 2024-10-03 Sayantan Roy , Sameed Pervaiz , Thereza Paiva , Nandini Trivedi

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

Superconductivity · Physics 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun

Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

We study the transitions from band insulator to metal to Mott insulator in the ionic Hubbard model on a two dimensional square lattice using determinant Quantum Monte Carlo. Evaluation of the temperature dependence of the conductivity…

Strongly Correlated Electrons · Physics 2009-11-11 N. Paris , K. Bouadim , F. Hebert , G. G. Batrouni , R. T. Scalettar

We introduce a new aproximation scheme for the periodic Anderson model (PAM). The modified alloy approximation represents an optimum alloy approximation for the strong coupling limit, which can be solved within the CPA-formalism.…

Strongly Correlated Electrons · Physics 2009-10-31 G G Reddy , D Meyer , S Schwieger , A Ramakanth , W Nolting

We report on the result of quantum Monte Carlo simulation of quasi-one-dimensional electron systems at 1/4-filling, considering organic superconductors such as TMTSF- and TMTTF-salts. We focus on the effect of dimensionality (interchain…

Strongly Correlated Electrons · Physics 2009-11-13 Tohru Aonuma , Yuki Fuseya , Masao Ogata

By using the determinant Quantum Monte Carlo method, the magnetic and pairing correlation of the Na$_{x}$CoO$_{2}\cdot$yH$_{2}$O system are studied within the Hubbard model on a bilayer triangular lattice. The temperature dependence of spin…

Strongly Correlated Electrons · Physics 2013-12-18 Shuang Wu , Jinling Li , Pan Gao , Ying Liang , Tianxing Ma

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 consider a Periodic Anderson Model (PAM) with a momentum-dependent inter-band hybridization that is strongly suppressed near the Fermi level. Under these conditions, we reduce the PAM to an effective low-energy Hamiltonian, $H_{\rm…

Strongly Correlated Electrons · Physics 2015-05-19 K. A. Al-Hassanieh , Yi-feng Yang , Ivar Martin , C. D. Batista

We study numerically the effect of on-site Hubbard interaction U between two electrons in the quasiperiodic Harper's equation. In the periodic chain limit by mapping the problem to that of one electron in two dimensions with a diagonal line…

Disordered Systems and Neural Networks · Physics 2009-10-30 S. N. Evangelou , D. E. Katsanos

We investigate the symmetric Periodic Anderson Model (PAM) on a three-dimensional cubic lattice with nearest-neighbor hopping and hybridization matrix elements. Using Gutzwiller's variational method and the Hubbard-III approximation (which…

Strongly Correlated Electrons · Physics 2019-05-15 Peter van Dongen , Kingshuk Majumdar , Carey Huscroft , Fu-Chun Zhang

Using the time-dependent density matrix renormalization group method and exact diagonalization, we study the non-equilibrium dynamics of the one-dimensional Fermi-Hubbard model following a quantum quench or a ramp of the onsite interaction…

Quantum Gases · Physics 2015-04-29 L. Riegger , G. Orso , F. Heidrich-Meisner

Using the Density Matrix Renormalization Group and two-leg ladders, we investigate an electronic two-orbital Hubbard model including plaquette diagonal hopping amplitudes. Our goal is to search for regimes where charges added to the undoped…

Strongly Correlated Electrons · Physics 2015-05-18 J. C. Xavier , G. Alvarez , A. Moreo , E. Dagotto

We study a trapped system of fermions with an attractive zero-range two-body interaction using the Shell-Model Monte Carlo method. The method provides {\em ab initio} results in the low $N$ limit where mean-field theory is not applicable.…

Superconductivity · Physics 2008-08-04 N. T. Zinner , K. Mølmer , C. Özen , K. Langanke , D. J. Dean

The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However,…

Quantum Gases · Physics 2012-02-20 E. Assmann , S. Chiesa , G. G. Batrouni , H. G. Evertz , R. T. Scalettar

In this study we have computed the pair correlation functions in the two-dimensional Hubbard model using a quantum Monte Carlo method. We employ a new diagonalization algorithm in quantum Monte Carlo method which is free from the negative…

Superconductivity · Physics 2013-04-05 Takashi Yanagisawa

Periodic Anderson model (PAM), where local electron orbitals interplay with itinerant electronic carriers, plays an essential role in our understanding on heavy fermion materials. Motivated by recent proposal of simulating Kondo lattice…

Quantum Gases · Physics 2017-05-09 Yin Zhong , Yu Liu , Hong-Gang Luo

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2022-10-12 Iman Mahyaeh , Thomas Köhler , Annica M. Black-Schaffer , Adrian Kantian

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto

We derive a Kondo Lattice model with a correlated conduction band from a two-band Hubbard Hamiltonian. This mapping allows us to describe the emergence of a robust pairing mechanism in a model that only contains repulsive interactions. The…

Strongly Correlated Electrons · Physics 2015-05-13 K. A. Al-Hassanieh , C. D. Batista , P. Sengupta , A. E. Feiguin