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We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the…

Strongly Correlated Electrons · Physics 2016-01-27 Bo-Xiao Zheng , Garnet Kin-Lic Chan

It is now well established that superconducting cuprates support a charge density wave state in the so-called underdoped region of their phase diagram. We investigate the possibility of charge order in the square-lattice Hubbard model, both…

Strongly Correlated Electrons · Physics 2017-03-22 J. P. L. Faye , D. Sénéchal

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

We investigate superconductivity emerging in the photodoped Mott insulating Hubbard model using steady-state dynamical mean-field theory implemented on the real-frequency axis. By employing high-order strong-coupling impurity solvers, we…

Strongly Correlated Electrons · Physics 2026-02-20 Lei Geng , Aaram J. Kim , Philipp Werner

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we…

Strongly Correlated Electrons · Physics 2019-03-27 Rasoul Ghadimi , Mehdi Kargarian , S. Akbar Jafari

The normal state of strongly coupled superconductors is characterized by the presence of "preformed" Cooper pairs well above the superconducting critical temperature. In this regime, the electrons are paired, but they lack the phase…

Strongly Correlated Electrons · Physics 2016-10-18 Agnese Tagliavini , Massimo Capone , Alessandro Toschi

The Hubbard and closely related $t\text-J$ models are exciting platforms for unconventional superconductivity (SC). Through state-of-the-art density matrix renormalization group calculations using the grand canonical ensemble, we address…

Superconductivity · Physics 2025-03-28 Feng Chen , F. D. M. Haldane , D. N. Sheng

We show that the exact ground state for a class of extended Hubbard models including bond-charge, exchange, and pair-hopping terms, is the Yang "eta-paired" state for any non-vanishing value of the pair-hopping amplitude, at least when the…

Condensed Matter · Physics 2009-10-28 Arianna Montorsi , David K. Campbell

Proposals for superconductivity emerging from correlated electrons in the doped Hubbard model on the honeycomb lattice range from chiral $d+id$ singlet to $p+ip$ triplet pairing, depending on the considered range of doping and interaction…

Strongly Correlated Electrons · Physics 2016-09-05 Xiao Yan Xu , Stefan Wessel , Zi Yang Meng

We investigate topological superconductivity in the Rashba-Hubbard model, describing heavy-atom superlattice and van der Waals materials with broken inversion. We focus in particular on fillings close to the van Hove singularities, where a…

Superconductivity · Physics 2024-06-26 Pietro M. Bonetti , Debmalya Chakraborty , Xianxin Wu , Andreas P. Schnyder

The Hund's-rule-exchange induced and coexisting spin-triplet paired and magnetic states are considered within the doubly degenerate Hubbard model with interband hybridization. The Hartree-Fock approximation combined with the…

Superconductivity · Physics 2015-06-05 Michał Zegrodnik , Jozef Spałek

An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the t-t' Hubbard model in two dimensions with the following results: (i) The superconducting phase…

Condensed Matter · Physics 2009-11-07 J. Mraz , R. Hlubina

We analyze the quantum phase diagram of the Holstein-Hubbard model using an asymptotically exact strong-coupling expansion. We find all sorts of interesting phases including a pair-density wave (PDW), a charge 4e (and even a charge 6e)…

Strongly Correlated Electrons · Physics 2020-10-15 Zhaoyu Han , Steven A. Kivelson , Hong Yao

We study s-wave superconductivity in the two dimensional attractive Hubbard model in an applied magnetic field, assume the extreme Pauli limit, and examine the role of spatial fluctuations in the coupling regime corresponding to BCS-BEC…

Quantum Gases · Physics 2016-05-26 Madhuparna Karmakar , Pinaki Majumdar

In this paper, we study Bose-Hubbard models on the square and honeycomb lattices with complex hopping amplitudes, which are feasible by recent experiments of cold atomic gases in optical lattices. To clarify phase diagrams, we use an…

Quantum Gases · Physics 2016-01-06 Yoshihito Kuno , Takashi Nakafuji , Ikuo Ichinose

We have studied the ground state properties of Hubbard model on long six-leg square cylinders with doped hole concentration per site $5.55\% \leq \delta\leq 12.5\%$ using density-matrix renormalization group. By keeping a large number of…

Strongly Correlated Electrons · Physics 2023-03-29 Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

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 the emergence of superconductivity in the one-band Hubbard model using the spin-rotation-invariant Kotliar-Ruckenstein slave-boson (SB) approach. Motivated by its intrinsically renormalized mean-field ground state, we construct an…

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