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This article reviews the effort to understand the physics of high temperature superconductors from the point of view of doping a Mott insulator. The basic electronic structure of the cuprates is reviewed, emphasizing the physics of strong…

Strongly Correlated Electrons · Physics 2009-09-29 Patrick A. Lee , Naoto Nagaosa , Xiao-Gang Wen

We study the effects of hole doping on one-dimensional Mott insulators with orbital degrees of freedom. We describe the system in terms of a generalized t-J model. At a specific point in parameter space the model becomes integrable in…

Strongly Correlated Electrons · Physics 2009-01-08 J. Sirker , J. Damerau , A. Klümper

Quantum antiferromagnets on geometrically frustrated lattices often allow a number of unusual paramagnetic ground states. The fate of these Mott insulators upon doping is an important issue that may shed some light on the high $T_c$ cuprate…

Superconductivity · Physics 2009-11-10 Chung-Hou Chung , Yong Baek Kim

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

Unravelling competing orders emergent in doped Mott insulators and their interplay with unconventional superconductivity is one of the major challenges in condensed matter physics. To explore possible superconductivity state in the doped…

Strongly Correlated Electrons · Physics 2021-09-01 Shoushu Gong , W. Zhu , D. N. Sheng

We theoretically investigate twisted structures where each layer is composed of a strongly correlated material. In particular, we study a twisted t-J model of cuprate multilayers within the slave-boson mean field theory. This treatment…

Superconductivity · Physics 2022-05-18 Xue-Yang Song , Ya-Hui Zhang , Ashvin Vishwanath

Layered organic superconductors of the BEDT family are model systems for the interplay of the Mott transition with superconductivity, magnetic order and frustration. Recent experimental studies on a hole-doped version of BEDT compounds…

Superconductivity · Physics 2015-09-24 Charles-David Hébert , Patrick Sémon , A. -M. S. Tremblay

Based on an improved SU(2) slave-boson approach to the t-J Hamiltonian, we derive a phase diagram of high $T_c$ cuprates which displays both the superconducting and pseudogap phases in the plane of temperature vs. hole doping rate. It is…

Superconductivity · Physics 2009-09-25 Sung-Sik Lee , Sung-Ho Suck Salk

High-temperature superconductors at zero doping can be considered strongly correlated two-dimensional Mott insulators. The understanding of the connection between the superconductor and the Mott insulator hits at the heart of the…

Strongly Correlated Electrons · Physics 2009-05-30 M. Civelli

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

With high-Tc cuprates in mind, properties of correlated dx2-y2-wave superconducting (SC) and antiferromagnetic (AF) states are studied for the Hubbard (t-t'-U) model on square lattices, using a variational Monte Carlo method. We employ…

Superconductivity · Physics 2012-12-14 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka , Kenji Kobayashi , Hiroki Tsuchiura

Unlike the hole-doped cuprates, both nodal and nodeless superconductivity (SC) are observed in the electron-doped cuprates. To understand these two types of SC states, we propose a unified theory by considering the two-dimensional t-J model…

Superconductivity · Physics 2017-05-26 Guo-Yi Zhu , Guang-Ming Zhang

An intricate interplay between superconductivity, pseudogap and Mott transition, either bandwidth driven or doping driven, occurs in materials. Layered organic conductors and cuprates offer two prime examples. We provide a unified…

Strongly Correlated Electrons · Physics 2012-08-02 G. Sordi , P. Sémon , K. Haule , A. -M. S. Tremblay

We argue that aspects of the anomalous, low temperature, spin and charge dynamics of the high temperature superconductors can be understood by studying the corresponding physics of undoped Mott insulators. Such insulators display a quantum…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

Recently, robust $d$-wave superconductive (SC) order has been unveiled in the ground state of the 2D $t$-$t'$-$J$ model -- with both nearest-neighbor ($t$) and next-nearest-neighbor ($t'$) hoppings -- by density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-12-23 Dai-Wei Qu , Qiaoyi Li , Shou-Shu Gong , Yang Qi , Wei Li , Gang Su

The t-J model is a paradigmatic model for the study of strongly correlated electron systems. In particular, it has been argued that it is an appropriate model to describe the cuprate high-Tc superconductors. It turns out that a…

Superconductivity · Physics 2020-07-10 Aabhaas Vineet Mallik , Gaurav Kumar Gupta , Vijay B. Shenoy , H. R. Krishnamurthy

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

Superconductivity · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

High temperature superconductivity in cuprates arises from doping a parent Mott insulator by electrons or holes. A central issue is how the Mott gap evolves and the low-energy states emerge with doping. Here we report angle-resolved…

The detailed structure of the $T \times doping$ phase diagram of hole doped High-Tc superconducting cuprates is investigated from the perspective of a recently proposed comprehensive theory for these materials. Our theory is compared to…

Superconductivity · Physics 2024-08-28 Eduardo C. Marino

We develop a slave-boson theory for the t-J model at finite doping which respects an SU(2) symmetry -- a symmetry previously known to be important at half filling. The mean field phase diagram is found to be consistent with the phases…

Condensed Matter · Physics 2009-10-28 Xiao-Gang Wen , Patrick A. Lee
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