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Despite more than two decades of intensive investigations, the true nature of high temperature (high-$T_c$) superconductivity observed in the cuprates remains elusive to the researchers. In particular, in the so-called `underdoped' region,…

Superconductivity · Physics 2015-11-11 Yucel Yildirim , Wei Ku

Metals approaching the Mott insulator generate a new hierarchy in the electronic structure accompanied by a momentum dependent electron differentiation, beyond the Mott-Hubbard, Brinkman-Rice and Slater pictures of the Mott transition. To…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Masatoshi Imada

Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

The half-filled two-dimensional Hubbard model in presence of a uniform and static parallel magnetic field has been studied by means of the Composite Operator Method. A fully self-consistent solution, fulfilling all the constrains coming…

Strongly Correlated Electrons · Physics 2007-05-23 A. Avella , F. Mancini

Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard groundstate. When it is doped, a pseudogap…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. Scalapino

We present recent theoretical results on superconductivity in correlated-electron systems, especially in the two-dimensional Hubbard model and the three-band d-p model. The mechanism of superconductivity in high-temperature superconductors…

Strongly Correlated Electrons · Physics 2013-07-10 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

A unified theory is outlined for the cuprates, Fe-based, and related superconductors. Their low-energy excitations are approached in terms of auxiliary particles representing combinations of atomic-like electron configurations, and the…

Superconductivity · Physics 2008-12-01 J. Ashkenazi

A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu$3d_{x^2-y^2}$ and O$2p_\sigma$ orbitals. The…

Condensed Matter · Physics 2009-10-28 Kazuhiko Kuroki , Hideo Aoki

We propose a theory for the underdoped hole-doped cuprates, focusing on the "nodal-anti-nodal dichotomy" observed in recent experiments. Our theory begins with an ordered antiferromagnetic Fermi liquid with electron and hole pockets. We…

Strongly Correlated Electrons · Physics 2009-04-23 Victor Galitski , Subir Sachdev

The phase diagrams of quasi two-dimensional organic superconductors display a plethora of fundamental phenomena associated with strong electron correlations, such as unconventional superconductivity, metal-insulator transitions, frustrated…

Strongly Correlated Electrons · Physics 2024-10-01 Henri Menke , Marcel Klett , Kazushi Kanoda , Antoine Georges , Michel Ferrero , Thomas Schäfer

Cooper's formalism for fermionic pairing has been revisited considering upto 3rd neighbour hopping terms, firstly with a Fermi liquid like background on a square lattice keeping in mind the overdopped cuprates. Then the whole scheme is…

Superconductivity · Physics 2018-07-31 Soumi Roy Chowdhury , Ranjan Chaudhury

Proximity to a Mott insulating phase is likely to be an important physical ingredient of a theory that aims to describe high-temperature superconductivity in the cuprates. Quantum cluster methods are well suited to describe the Mott phase.…

Strongly Correlated Electrons · Physics 2009-11-11 S. S. Kancharla , B. Kyung , D. Senechal , M. Civelli , M. Capone , G. Kotliar , A. -M. S. Tremblay

Single- and multi-band Hubbard models have been found to describe many of the complex phenomena that are observed in the cuprate and iron-based high-temperature superconductors. Simulations of these models therefore provide an ideal…

Superconductivity · Physics 2012-08-07 Thomas A. Maier

The extremely overdoped cuprates are generally considered to be Fermi liquid metals without exotic orders, whereas the underdoped cuprates harbor intertwined states. Contrary to this conventional wisdom, using Cu $L_3$ edge and O $K$ edge…

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

Strongly Correlated Electrons · Physics 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

Unveiling the nature of the pseudogap and its relation to both superconductivity and antiferromagnetic Mott insulators, the pairing mechanism, and a non-Fermi liquid phase is a key issue for understanding high temperature superconductivity…

Superconductivity · Physics 2013-02-12 Takashi Uchino

We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, the dynamical cluster extension of dynamical mean field theory, and variational Monte Carlo simulations of…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Hunpyo Lee , Harald O. Jeschke , Roser Valentí , Claudius Gros

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

We study electronic structure of hole- and electron-doped Mott insulators in the two-dimensional Hubbard model to reach a unified picture for the normal state of cuprate high-Tc superconductors. By using a cluster extension of the dynamical…

Strongly Correlated Electrons · Physics 2010-10-20 Shiro Sakai , Yukitoshi Motome , Masatoshi Imada

A phase diagram is drawn in a parameter space of the nearly half-filled single band two-dimensional Hubbard model with U/t, t'/t and n as the parameters, U, t, t' and n being the on-site interaction, the nearest and second nearest neighbor…

Superconductivity · Physics 2016-08-15 Hisashi Kondo , Tôru Moriya