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We have investigated the attractive Hubbard model in the low density limit for the 2D square lattice using the ladder approximation for the vertex function in a self-consistent, conserving formulation. In the parameter region where the…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems such as Mott insulators and cuprate high-Tc superconductors. Recent advances in atomically precise fabrication in…

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

We solve the attractive Hubbard model for arbitrary interaction strengths within dynamical mean-field theory. We compute the transition temperature for superconductivity and analyze electron pairing in the normal phase. The normal state is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Keller , W. Metzner , U. Schollwoeck

We study thermodynamic properties of the doped Hubbard model on the square lattice in the regime of strong charge and spin fluctuations at low temperatures near the metal-to-insulator crossover and obtain results with controlled accuracy…

Strongly Correlated Electrons · Physics 2021-03-17 Connor Lenihan , Aaram J. Kim , Fedor Šimkovic IV. , Evgeny Kozik

The Kagome lattice Fermi-Hubbard model is one of the most physically rich, and at the same time most challenging, models to study in strongly-correlated physics. Among its special features are geometric frustration and a flat energy band…

Strongly Correlated Electrons · Physics 2026-04-30 Francisco Correia , Kyle Corbett , Ehsan Khatami

We show that there are qualitative differences between the temperature dependence of the spin and charge correlations in the normal state of the 2D attractive Hubbard model using quantum Monte Carlo simulations. The one-particle density of…

Condensed Matter · Physics 2009-10-22 Nandini Trivedi , Mohit Randeria

High-temperature bad-metal transport has been recently studied both theoretically and in experiments as one of the key signatures of strong electronic correlations. Here we use the dynamical mean field theory (DMFT) and its cluster…

Strongly Correlated Electrons · Physics 2020-09-23 A. Vranic , J. Vucicevic , J. Kokalj , J. Skolimowski , R. Zitko , J. Mravlje , D. Tanaskovic

We study both the static and dynamic properties of gapped, one-dimensional, Heisenberg, anti-ferromagnetic, spin chains at finite temperature through an analysis of the O(3) non-linear sigma model. Exploiting the integrability of this…

Strongly Correlated Electrons · Physics 2013-05-29 Robert M. Konik

We study dynamical scaling in the quantum-critical fan of the pseudogap-metal to Fermi-liquid transition of the two-dimensional Hubbard model. Using a four-patch dynamical cluster approximation with the numerical renormalization group as a…

Strongly Correlated Electrons · Physics 2026-05-15 Mathias Pelz , Gabriel Kotliar , Jan von Delft , Andreas Gleis

Recent experiments on cold atoms in optical lattices allow for a quantitative comparison of the measurements to the conductivity calculations in the square lattice Hubbard model. However, the available calculations do not give consistent…

Strongly Correlated Electrons · Physics 2019-07-29 Jaksa Vucicevic , Jure Kokalj , Rok Zitko , Nils Wentzell , Darko Tanaskovic , Jernej Mravlje

Understanding charge transport in strongly correlated systems remains a central challenge in condensed matter physics, particularly in light of the ubiquitous linear-in-$T$ resistivity observed in strange metals across many platforms from…

Strongly Correlated Electrons · Physics 2026-04-06 Shuo Liu , Yuhao Ma , Hitesh J. Changlani , Philip W. Phillips , B. Andrei Bernevig

We illustrate how finite-temperature charge and thermal Drude weights of one-dimensional systems can be obtained from the relaxation of initial states featuring global (left-right) gradients in the chemical potential or temperature. The…

Strongly Correlated Electrons · Physics 2017-03-20 C. Karrasch

An understanding of the anomalous charge dynamics in the high-Tc cuprates is obtained based on a model study of doped Mott insulators. The high-temperature optical conductivity is found to generally have a two-component structure: a Drude…

Strongly Correlated Electrons · Physics 2007-09-16 Zheng-Cheng Gu , Zheng-Yu Weng

We analyze the normal phase of the attractive Hubbard model within dynamical mean-field-theory. We present results for the pair-density, the spin-susceptibility, the specific heat, the momentum distribution, and for the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 M. Keller , W. Metzner , U. Schollwoeck

The development of quantum gas microscopy for two-dimensional optical lattices has provided an unparalleled tool to study the Fermi-Hubbard model (FHM) with ultracold atoms. Spin-resolved projective measurements, or snapshots, have played a…

Strongly Correlated Electrons · Physics 2024-05-07 Eduardo Ibarra-García-Padilla , Stephanie Striegel , Richard T. Scalettar , Ehsan Khatami

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

Superconductivity · Physics 2007-05-23 Eugene Pivovarov

We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a…

Strongly Correlated Electrons · Physics 2025-12-05 Jia-Lin Chen , Zhen Fan , Bo Zhan , Jiahang Hu , Tong Liu , Junyi Ji , Kang Wang , Hai-Jun Liao , Tao Xiang

We study, within the fluctuation exchange approximation, the spin-fluctuation-mediated superconductivity in Hubbard-type models possessing electron and hole bands, and compare them with a model on a square lattice with a large Fermi…

Superconductivity · Physics 2017-06-28 Masahiro Nakata , Daisuke Ogura , Hidetomo Usui , Kazuhiko Kuroki