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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

High temperature superconductivity in doped Mott insulators such as the cuprates contradicts the conventional wisdom that electron repulsion is detrimental to superconductivity. Because doped fullerene conductors are also strongly…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , M. Fabrizio , C. Castellani , E. Tosatti

Understanding the doped Mott insulator is a central challenge in condensed matter physics. In this work, we first explicitly identify a new sign structure in the $t$-$t'$-$J$ model on the square lattice that replaces the conventional Fermi…

Strongly Correlated Electrons · Physics 2024-10-15 Xin Lu , Jia-Xin Zhang , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

Although the mechanism of superconductivity in the cuprates remains elusive, it is generally agreed that at the heart of the problem is the physics of doped Mott insulators. The cuprate parent compound has one unpaired electron per Cu site,…

Strongly Correlated Electrons · Physics 2013-01-30 Cun Ye , Peng Cai , Runze Yu , Xiaodong Zhou , Wei Ruan , Qingqing Liu , Changqing Jin , Yayu Wang

The emergence of quasiparticles in quantum many-body systems underlies the rich phenomenology in many strongly interacting materials. In the context of doped Mott insulators, magnetic polarons are quasiparticles that usually arise from an…

Quantum Gases · Physics 2025-02-12 Max L. Prichard , Benjamin M. Spar , Ivan Morera , Eugene Demler , Zoe Z. Yan , Waseem S. Bakr

We present comparative theoretical investigation of thermoelectric power and Hall effect in the Hubbard model for correlated metal and Mott insulator (considered as prototype cuprate superconductor) for different concentrations of current…

Strongly Correlated Electrons · Physics 2024-01-23 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

Recently proposed scenarios for the cuprates make extensive use of a ``flat'' quasiparticle (q.p.) dispersion and short-range hole-hole interactions in real-space, both caused by antiferromagnetic (AF) correlations. The density of states…

Condensed Matter · Physics 2008-02-03 Alexander Nazarenko , Stephan Haas , Jose Riera , Adriana Moreo , Elbio Dagotto

We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is "weakly"…

Strongly Correlated Electrons · Physics 2019-11-28 Krzysztof Bieniasz , Piotr Wrzosek , Andrzej M. Oles , Krzysztof Wohlfeld

Twenty seven years after the discovery of high-temperature superconductivity \cite{BedMu}, consensus on its theoretical explanation is still absent. To a good extent, this is due to the difficulty of studying strongly correlated systems…

Superconductivity · Physics 2014-12-08 Hadi Ebrahimnejad , George A. Sawatzky , Mona Berciu

The simultaneous presence of sizable spin-orbit interactions and electron correlations in iridium oxides has led to predictions of novel ground states including Dirac semimetals, Kitaev spin liquids, and superconductivity. Electron and hole…

Strongly Correlated Electrons · Physics 2017-02-22 S. Chikara , G. Fabbris , J. Terzic , G. Cao , D. Khomskii , D. Haskel

We briefly review a theory for the cuprates that has been recently proposed based on the movement and interaction of holes in antiferromagnetic (AF) backgrounds. A robust peak in the hole density of states (DOS) is crucial to produce a…

Condensed Matter · Physics 2009-10-28 E. Dagotto , A. Nazarenko , A. Moreo , S. Haas

The effect of proximity to a Mott insulating phase on the charge transport properties of a superconductor is determined. An action describing the low energy physics is formulated and different scenarios for the approach to the Mott phase…

Strongly Correlated Electrons · Physics 2009-11-07 L. B. Ioffe , A. J. Millis

Whether a doped hole propagates as a Bloch wave or not is an important issue of doped Mott physics. Here we examine this problem based on the quasiparticle spectral weight $Z$ distribution, calculated by density matrix renormalization group…

Strongly Correlated Electrons · Physics 2018-07-25 Zheng Zhu , D. N. Sheng , Zheng-Yu Weng

Unconventional superconductivity in molecular conductors is observed at the border of metal-insulator transitions in correlated electrons under the influence of geometrical frustration. The symmetry as well as the mechanism of the…

Superconductivity · Physics 2019-07-24 Hiroshi Watanabe , Hitoshi Seo , Seiji Yunoki

With the hierarchical Green's function approach, we study a doped Mott insulator described with the Hubbard model by analytically solving the equations of motion of an one-particle Green's function and related multiple-point correlation…

Strongly Correlated Electrons · Physics 2020-01-29 Yu-Liang Liu

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

The localized (particle-like) correlated electrons deserve particular attention as they govern various exotic quantum phenomena, such as quantum spin liquids, Wigner crystals, and Mott insulators in correlated systems. However, direct…

Strongly Correlated Electrons · Physics 2025-07-09 Yanyan Geng , Haoyu Dong , Renhong Wang , Zilu Wang , Jianfeng Guo , Shuo Mi , Yan Li , Fei Pang , Rui Xu , Li Huang , Hong-Jun Gao , Wei Ji , Shancai Wang , Weichang Zhou , Zhihai Cheng

Recent angle-resolved photoemission spectroscopy (ARPES) for a newly discovered doped one-dimensional (1D) Mott insulator Ba$_{2-x}$Sr$_x$CuO$_{3+\delta}$ proposed the presence of attractive charge interactions between neighboring sites if…

Strongly Correlated Electrons · Physics 2024-09-06 Takami Tohyama , Hiroki Maeda , Kenji Tsutsui , Shigetoshi Sota , Seiji Yunoki

The high-temperature superconductivity in copper oxides emerges under strong influence of spin correlations in doped Mott insulators. Recent discoveries of charge-order (CO) correlations in Y-based hole-doped cuprates as well as in…

Strongly Correlated Electrons · Physics 2018-11-14 Hideki Matsuoka , Masaki Nakano , Masaki Uchida , Masashi Kawasaki , Yoshihiro Iwasa

I show that the quantum critical points observed in heavy fermions (the `Kondo breakdown') and in doped cuprates can be understood in terms of concealed Mott criticality. In this picture, one species of electrons undergoes a Mott…

Strongly Correlated Electrons · Physics 2025-10-03 Louk Rademaker