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We present a general framework for describing the quantum phases obtained by doping paramagnetic Mott insulators on the square lattice. The undoped insulators are efficiently characterized by the projective transformations of various fields…

Strongly Correlated Electrons · Physics 2008-11-26 Leon Balents , Subir Sachdev

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

In this article, we review some recent theoretical developments on potential high-temperature superconductors and unconventional metallic states that can arise from doping a spin-one Mott insulator in the $d^{8}$ valence. These studies are…

Strongly Correlated Electrons · Physics 2025-09-04 Hanbit Oh , Hui Yang , Ya-Hui Zhang

We study by the Gutzwiller approximation the melting of the valence bond crystal phase of a bilayer Hubbard model at sufficiently large inter-layer hopping. We find that a superconducting domain, with order parameter $d_{z^2-r^2}$, $z$…

Strongly Correlated Electrons · Physics 2011-11-22 Nicola Lanata` , Paolo Barone , Michele Fabrizio

By bosonizing the electronic t-J model exactly on any two-dimensional (2D) lattices, and integrating out the gauge fluctuations combined to slave particles beyond mean fields, we get a theory in terms of physical Cooper pair and spin…

Superconductivity · Physics 2009-11-10 Qiang-Hua Wang

Doping of quantum antiferromagnets is an established approach to investigate the robustness of their ground state against the competing phases. Predictions of doping effects on the ground state of the Shastry-Sutherland dimer model are here…

Strongly Correlated Electrons · Physics 2024-04-24 Lia Šibav , Žiga Gosar , Tilen Knaflič , Zvonko Jagličić , Graham King , Hiroyuki Nojiri , Denis Arčon , Mirela Dragomir

The hardcore extended Bose Hubbard model on a bilayer square lattice with attractive (repulsive) interplane (intraplane) interactions has been investigated numerically. Focusing on the strong interplane hopping parameter regime, triplet…

Strongly Correlated Electrons · Physics 2015-03-05 Kwai-Kong Ng

A Mott insulator sometimes induces unconventional superconductivity in its neighbors when doped and/or pressurized. Because the phase diagram should be strongly related to the microscopic mechanism of the superconductivity, it is important…

Strongly Correlated Electrons · Physics 2019-05-14 Yoshitaka Kawasugi , Kazuhiro Seki , Satoshi Tajima , Jiang Pu , Taishi Takenobu , Seiji Yunoki , Hiroshi M. Yamamoto , Reizo Kato

The ground states and excitations of two-dimensional insulating and doped Mott insulators are described by a bond operator formalism. While the method represents the degrees of freedom of an arbitrary antiferromagnet exactly, it is…

Strongly Correlated Electrons · Physics 2007-05-23 Kwon Park , Subir Sachdev

A central idea in strongly correlated systems is that doping a Mott insulator leads to a superconductor by transforming the resonating valence bonds (RVBs) into spin-singlet Cooper pairs. Here, we argue that a spin-triplet RVB (tRVB) state,…

Strongly Correlated Electrons · Physics 2020-08-14 Piers Coleman , Yashar Komijani , Elio J. König

Superconductivity in doped quantum paramagnets has been a subject of long theoretical inquiry. In this work we report a density matrix renormalization group study of lightly doped $t$-$J$ models on the square lattice (doped hole densities…

Strongly Correlated Electrons · Physics 2023-08-16 Hong-Chen Jiang , Steven A. Kivelson , Dung-Hai Lee

Motivated by recent neutron scattering and scanning tunneling microscopy (STM) experiments on cuprate superconductors, we discuss charge-ordered states, in particular with two-dimensional charge modulation patterns, co-existing with…

Superconductivity · Physics 2009-11-07 Matthias Vojta

Based on a microscopic theoretical study, we show that novel superconductivity is induced by carrier doping in layered perovskite Ir oxides where a strong spin-orbit coupling causes an effective total angular momentum J_{eff}=1/2 Mott…

Superconductivity · Physics 2013-01-14 Hiroshi Watanabe , Tomonori Shirakawa , Seiji Yunoki

Spin-orbit-coupled Mott iridates show great similarity with parent compounds of superconducting cuprates, attracting extensive research interests especially for their electron-doped states. However, previous experiments are largely limited…

Strongly Correlated Electrons · Physics 2021-03-26 Meng Wang , Lin Hao , Fang Yin , Xin Yang , Shengchun Shen , Nianlong Zou , Hui Cao , Junyi Yang , Nianpeng Lu , Yongshun Wu , Jianbing Zhang , Hua Zhou , Jia Li , Jian Liu , Pu Yu

We investigate the entanglement properties of resonating valence bond states on a two dimensional lattice in the presence of dopants that remove electrons from the lattice creating "holes". The movement of the holes generated by the Hubbard…

Quantum Physics · Physics 2009-11-13 Ravishankar Ramanathan , Dagomir Kaszlikowski , Marcin Wiesniak , Vlatko Vedral

We give a brief review of the Mott-Kondo scenario and its consequence in the recently-discovered infinite-layer nickelate superconductors. We argue that the parent state is a self-doped Mott insulator and propose an effective $t$-$J$-$K$…

Strongly Correlated Electrons · Physics 2022-01-11 Yi-feng Yang , Guang-Ming Zhang

The ground state of the bipartite $t$-$J$ model must satisfy a specific sign structure, based on which the single-hole and two-hole ground state $Ans\ddot{a}tze$ on honeycomb lattice are constructed and studied by a variational Monte Carlo…

Strongly Correlated Electrons · Physics 2024-06-25 Can Cui , Jing-Yu Zhao , Zheng-Yu Weng

We study the Heisenberg antiferromagnet on the Shastry-Sutherland lattice under magnetic fields, to clarify the magnetic properties of SrCu_2(BO_3)_2. Treating magnetic excitations promoted by the field as Bose particles and using strong…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

Two-leg t-J ladders are investigated in the framework of a combination of the phase string formulation and bond-operator representation. We develope a mean-field theory in the strong rung interaction regime, i.e. $J_{\perp}\gg J, t$, which…

Strongly Correlated Electrons · Physics 2009-10-31 Y. L. Lee , Y. W. Lee , C. -Y. Mou , Z. Y. Weng

Valence bond (VB) states as the formation mechanism of Cooper pairs, eventually leading to high-temperature superconductivity, remain a controversial topic. Although various VB-like states find variational relevance in the description of…

Strongly Correlated Electrons · Physics 2025-07-08 M. Mierzejewski , E. Dagotto , J. Herbrych