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In this article I give a pedagogical illustration of why the essential problem of high-Tc superconductivity in the cuprates is about how an antiferromagnetically ordered state can be turned into a short-range state by doping. I will start…

Superconductivity · Physics 2011-12-23 Zheng-Yu Weng

A theory for the Hubbard model appropriate in the limit of large U/t, small doping away from half-filling and short-ranged antiferromagnetic spin correlations is presented. Despite the absence of any broken symmetry the Fermi surface takes…

Strongly Correlated Electrons · Physics 2015-05-19 R. Eder , P. Wrobel , Y. Ohta

For the $t$-$J$ model, variational wave functions can generally be constructed based on an accurate description of antiferromagnetism (AFM) at half-filling and an exact phase-string sign structure under doping. The single-hole-doped and…

Strongly Correlated Electrons · Physics 2026-02-25 Can Cui , Jing-Yu Zhao , Zheng-Yu Weng

A central question in the high temperature cuprate superconductors is the fate of the parent Mott insulator upon charge doping. Here we use scanning tunneling microscopy to investigate the local electronic structure of lightly doped cuprate…

Superconductivity · Physics 2017-02-21 Peng Cai , Wei Ruan , Yingying Peng , Cun Ye , Xintong Li , Zhenqi Hao , Xingjiang Zhou , Dung-Hai Lee , Yayu Wang

Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

I introduce a doped two-dimensional quantum dimer model describing a doped Mott insulator and retaining the original Fermi statistics of the electrons. This model shows a rich phase diagram including a d-wave hole-pair unconventional…

Strongly Correlated Electrons · Physics 2008-04-24 Didier Poilblanc

The phase diagram of the high-Tc cuprates is dominated by the Mott insulating phase of the parent compounds. As we approach it from large doping, a standard Fermi-liquid gradually turns into a bad non-Fermi liquid metal, a process which…

Strongly Correlated Electrons · Physics 2014-04-29 Luca de' Medici , Gianluca Giovannetti , Massimo Capone

We investigate the properties of the metallic state obtained by photo-doping carriers into a Mott insulator. In a strongly interacting system, these carriers have a long life-time, so that they can dissipate their kinetic energy to a phonon…

Strongly Correlated Electrons · Physics 2013-03-21 Martin Eckstein , Philipp Werner

We present a nonperturbative method for deriving a quasiparticle description of the low-energy excitations in the t-J model for strongly correlated electrons. Using the exact diagonalization technique we evaluated exactly the spectral…

Condensed Matter · Physics 2009-10-22 R. Eder , Y. Ohta

We present a new approach to static and dynamical properties of holes and spins in weakly doped antiferromagnets in two dimensions. The calculations are based on a recently introduced cumulant approach to ground--state properties of…

Condensed Matter · Physics 2009-10-28 Matthias Vojta , Klaus W. Becker

We show here that many of the normal state properties of the cuprates can result from the new charge 2e bosonic field which we have recently (Phys. Rev. Lett. {\bf 99}, 46404 (2007) and Phys. Rev. B 77, 014512 (2008)) shown to exist in the…

Strongly Correlated Electrons · Physics 2009-11-13 Ting-Pong Choy , Robert G. Leigh , Philip Phillips

A detailed exact-diagonalization study is made for the doping dependence of the single-particle spectral function $A({\bf k},\omega)$ and momentum distribution function $n({\bf k})$ of the two-dimensional $t$$-$$J$ model as a representative…

Condensed Matter · Physics 2007-05-23 Y. Ohta , R. Eder

Layered perovskite iridates realize a rare class of Mott insulators that are predicted to be strongly spin-orbit coupled analogues of the parent state of cuprate high-temperature superconductors. Recent discoveries of pseudogap, magnetic…

Strongly Correlated Electrons · Physics 2017-04-25 H. Chu , L. Zhao , A. de la Torre , T. Hogan , S. D. Wilson , D. Hsieh

The free energy bounds for inhomogeneous current states in doped antiferromagnetic insulators and spatial configurations of spin and charge degrees of freedom in lightly and heavily underdoped phases of this strongly correlated electron…

Strongly Correlated Electrons · Physics 2007-05-23 Dmitry I. Iudin , Alexander P. Protogenov

We introduce a valence-bond dynamical mean-field theory of doped Mott insulators. It is based on a minimal cluster of two orbitals, each associated with a different region of momentum space and hybridized to a self-consistent bath. The…

Strongly Correlated Electrons · Physics 2009-07-28 M. Ferrero , P. S. Cornaglia , L. De Leo , O. Parcollet , G. Kotliar , A. Georges

The interplay between spin and charge degrees of freedom arising from doping a Mott insulating quantum spin liquid (QSL) has been a topic of research for several decades. Calculating properties of these fractionalized metallic states in…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Shiwei Zhang

In the framework of cluster perturbation theory for the 2D Hubbard and Hubbard-Holstein models at low hole doping we have studied the effect of local and short-range correlations in strongly correlated systems on the anomalous features in…

Strongly Correlated Electrons · Physics 2019-02-05 V. I. Kuz'min , S. V. Nikolaev , S. G. Ovchinnikov

We investigate the anomalous metal arising by hole doping the Mott insulating state of the periodic Anderson model. Using Dynamical Mean-Field Theory we show that, as opposed to the electron-doped case, in the hole-doped regime the…

Strongly Correlated Electrons · Physics 2015-06-03 A. Amaricci , L. de Medici , G. Sordi , M. J. Rozenberg , M. Capone

We use scanning tunneling microscopy to visualize the atomic-scale electronic states induced by a pair of hole dopants in Ca2CuO2Cl2 parent Mott insulator of cuprates. We find that when the two dopants approach each other, the transfer of…

Superconductivity · Physics 2021-06-14 Haiwei Li , Shusen Ye , Jianfa Zhao , Changqing Jin , Yayu Wang

Photo-doping of Mott insulators or correlated metals can create an unusual metallic state which simultaneously hosts hole-like and electron-like particles. We study the dynamics of this state up to long times, as it passes its kinetic…

Strongly Correlated Electrons · Physics 2021-05-26 Nagamalleswararao Dasari , Jiajun Li , Philipp Werner , Martin Eckstein
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