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With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 C. Di Castro , S. Caprara

A model is proposed such that quasi-particles (electrons or holes) residing in the CuO2 planes of cuprates may interact leading to metallic or superconducting behaviors. The metallic phase is obtained when the quasi-particles are treated as…

General Physics · Physics 2010-07-20 P. R. Silva

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

Electron-phonon coupling (EPC) governs lattice dynamics, charge transport, and collective electronic phases in quantum materials. In several families of unconventional superconductors, including transition-metal dichalcogenides and kagome…

Correlated-electron theories of superconductivity in layered cuprates often start from the premise of a gapped spin-liquid phase proximate to the superconducting state. This assumption is justified based on analytical and numerical…

Strongly Correlated Electrons · Physics 2021-09-14 Jeong-Pil Song , Sumit Mazumdar , R. Torsten Clay

The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not…

Superconductivity · Physics 2021-04-05 Peizhi Mai , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier

We investigate the impact of electron-lattice coupling on the stability of various magnetic orders in rare-earth nickelates. We use the Hartree-Fock approximation, at zero temperature, to study an effective, two-band model with correlations…

Strongly Correlated Electrons · Physics 2020-01-15 Stepan Fomichev , Giniyat Khaliullin , Mona Berciu

Starting with a minimal model for the CuO$_2$ planes with the on-site Hilbert space reduced to a charge triplet of the three effective valence centers [CuO$_4$]$^{7-,6-,5-}$ (nominally Cu$^{1+,2+,3+}$) with different conventional spin,…

Superconductivity · Physics 2022-03-02 A. S. Moskvin , Yu. D. Panov

The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

We find a strongly enhanced entanglement within the pseudogap regime of the Hubbard model. This entanglement is estimated from the quantum Fisher information and, avoiding the ill-conditioned analytical continuation, the quantum variance.…

Strongly Correlated Electrons · Physics 2025-08-25 Frederic Bippus , Juraj Krsnik , Motoharu Kitatani , Luka Akšamović , Anna Kauch , Neven Barišić , Karsten Held

The recent discovery of superconductivity under high pressure in the ladder compound BaFe$_2$S$_3$ has opened a new field of research in iron-based superconductors with focus on quasi one-dimensional geometries. In this publication, using…

Strongly Correlated Electrons · Physics 2017-08-09 N. D. Patel , A. Nocera , G. Alvarez , A. Moreo , E. Dagotto

Confirmation of the phononic origin of Cooper pair formation in superconductors came with the demonstration that the interaction was retarded and that the corresponding energy scales were associated with phonons. Using cellular dynamical…

Superconductivity · Physics 2010-02-15 B. Kyung , D. Sénéchal , A. -M. S. Tremblay

We study the Hubbard model on the square lattice coupled in addition to the optical Su-Schrieffer-Heeger (SSH) phonons, using the singular-mode functional renormalization group method. At half-filling and in the absence of the Hubbard…

Strongly Correlated Electrons · Physics 2023-01-02 Qing-Geng Yang , Da Wang , Qiang-Hua Wang

It is shown that a quasi two dimensional (layered) Heisenberg antiferromagnet with fully frustrated interplane couplings ({\it e.g.} on a body-centered tetragonal lattice) generically exhibits two thermal phase transitions with lowering…

Strongly Correlated Electrons · Physics 2009-11-11 Fang Chen , Jiangping Hu , Steven Kivelson , Stuart Brown

The ubiquitous tendency of superconducting cuprates to form charge density waves (CDWs) has reignited interest in the nature of their electron-phonon interaction and its role in shaping their phase diagrams. While pronounced dispersion…

We study spin fluctuation (SF) mediated superconductivity (SC) in a half-filled square lattice Hubbard model with the transfer matrices -t between nearest neighbor sites and -t' between a half of next nearest neighbor sites neighboring…

Superconductivity · Physics 2016-08-16 Hisashi Kondo , Tôru Moriya

We present a scenario for the peculiar coexistence of charge fluctuations observed in quasi-2D 1/4-filled organic conductors $\theta$-(BEDT-TTF)$_2X$ in the quantum critical regime where the charge ordering is suppressed down to zero…

Strongly Correlated Electrons · Physics 2009-11-13 Masafumi Udagawa , Yukitoshi Motome

The one-band and three-band Hubbard models which describe the electronic structure of cuprates indicate very different values of effective electronic parameters, such as the on-site Coulomb energy and the hybridization strength. In…

Strongly Correlated Electrons · Physics 2023-03-01 K. Sheshadri , D. Malterre , A. Fujimori , A. Chainani

We analyze effective d-wave interactions in the two-dimensional extended Hubbard model at weak coupling and small to moderate doping. The interactions are computed from a renormalization group flow. Attractive d-wave interactions are…

Strongly Correlated Electrons · Physics 2012-09-18 Christoph Husemann , Walter Metzner

We investigate effects of pseudo-spin population imbalance on Mott phases in 1D trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density matrix…

Strongly Correlated Electrons · Physics 2009-01-30 M. Machida , M. Okumura , S. Yamada , T. Deguchi , Y. Ohashi , H. Matsumoto