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Understanding doped Mott insulators is a fundamental goal in condensed matter physics, with relevance to cuprate superconductors and other quantum materials. The doped Hubbard model minimally describes such systems, and has explicated some…

Self-consistent perturbation expansion up to the second order in the interaction strength is used to study a single-level quantum dot with local Coulomb repulsion attached asymmetrically to two generally different superconducting leads. At…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Martin Žonda , Vladislav Pokorný , Václav Janiš , Tomáš Novotný

Attractive non-local interactions jointly with repulsive local interaction in a microscopic modelling of electronic Fermi liquids generate a competition between an enhancement of the static charge susceptibility---ultimately signalling…

Strongly Correlated Electrons · Physics 2016-12-13 Raymond Fresard , Kevin Steffen , Thilo Kopp

We analyze the breakdown of Fermi-liquid behavior within the 2D Hubbard model as function of doping using our recently developed numerical method for the self consistent summation of bubble and ladder diagrams. For larger doping…

Condensed Matter · Physics 2009-10-28 M. Langer , J. Schmalian , S. Grabowski , K. H. Bennemann

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

By means of dynamical mean-field theory allowing for complete account of SU(2) rotational symmetry of interactions between spin-1/2 particles, we observe a strong effect of suppression of ferromagnetic order in the multiorbital…

Strongly Correlated Electrons · Physics 2018-07-02 Andrii Sotnikov , Agnieszka Cichy , Jan Kuneš

Determining the ground state properties of the two-dimensional Hubbard model has remained an outstanding problem. Applying recent advances in constrained path auxiliary-field quantum Monte Carlo techniques and simulating large rectangular…

Strongly Correlated Electrons · Physics 2010-03-22 Chia-Chen Chang , Shiwei Zhang

The density-density response in optimally doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$ has recently been shown to exhibit conformal symmetry. Using, the experimentally inferred conformal dynamic susceptibility, we compute the resultant quantum…

Strongly Correlated Electrons · Physics 2025-03-28 David Bałut , Xuefei Guo , Niels de Vries , Dipanjan Chaudhuri , Barry Bradlyn , Peter Abbamonte , Philip W. Phillips

We analyze the doping dependence of the intensity and energetical position of shadow states in high -T$_{c}$ superconductors within the 2D Hubbard model and using our recently developed numerical method for the self consistent summation of…

Condensed Matter · Physics 2009-10-28 M. Langer , J. Schmalian , S. Grabowski , K. H. Bennemann

We study an extended Hubbard model with on-site repulsion and nearest neighbors attraction which tries to mimic some of the experimental features of doped cuprates in the superconducting state. We draw and discuss the phase diagram as a…

Superconductivity · Physics 2009-10-31 J. Ferrer , J. Sánchez-Cañizares , M. A. González-Alvarez

We investigate charge fluctuations in the two-dimensional Hubbard model as a function of doping, interaction strength, next-nearest-neighbor hopping, and temperature within the eight-site dynamical cluster approximation. In the regime of…

Strongly Correlated Electrons · Physics 2020-07-13 Xinyang Dong , Emanuel Gull

We investigate the dynamics of correlation propagation in the one-dimensional Fermi-Hubbard model with SU($N$) symmetry when the replusive-interaction strength is quenched from a large value, at which the ground state is a Mott-insulator…

Quantum Gases · Physics 2025-10-30 Mathias Mikkelsen , Ippei Danshita

The charge susceptibility of the two-dimensional repulsive Hubbard model is investigated using the diagram technique developed for the case of strong correlations. In this technique, a power series in the hopping constant is used. It is…

Strongly Correlated Electrons · Physics 2009-11-13 A. Sherman , M. Schreiber

We describe a low-temperature approach to the two-dimensional half-filled Hubbard model which allows us to study both antiferromagnetism and single-particle properties. This approach ignores amplitude fluctuations of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2007-05-23 K. Borejsza , N. Dupuis

The second-order reduced density matrix method (the RDM method) has performed well in determining energies and properties of atomic and molecular systems, achieving coupled-cluster singles and doubles with perturbative triples (CC SD(T))…

Strongly Correlated Electrons · Physics 2012-07-23 James S. M. Anderson , Maho Nakata , Ryo Igarashi , Katsuki Fujisawa , Makoto Yamashita

A new method for estimating the parameter ensuring the fulfillment of the Mermin-Wagner theorem in the strong coupling diagram technique (SCDT) for the two-dimensional Hubbard model is suggested. With the precise parameter value, calculated…

Strongly Correlated Electrons · Physics 2021-09-17 Alexei Sherman

We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and…

Quantum Gases · Physics 2016-01-20 Bogdan Damski , Jakub Zakrzewski

Using the fluctuation exchange approximation of the one band Hubbard model, we discuss the origin of the changing Fermi surface volume in underdoped cuprate systems due to the transfer of occupied states from the Fermi surface to its…

Condensed Matter · Physics 2016-08-31 J. Schmalian , M. Langer , S. Grabowski , K. H. Bennemann

We report on the site-resolved observation of characteristic states of the two-dimensional repulsive Fermi-Hubbard model, using ultracold $^{40}$K atoms in an optical lattice. By varying the tunneling, interaction strength, and external…

Dynamic properties of the three-dimensional single-band Hubbard model are studied using Quantum Monte Carlo combined with the maximum entropy technique. At half-filling, there is a clear gap in the density of states and well-defined…

Condensed Matter · Physics 2009-10-28 M. Ulmke , R. T. Scalettar , A. Nazarenko , E. Dagotto