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Because the cuprate superconductors are doped Mott insulators, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. We consider the Hatsugai-Kohmoto model, an exactly solvable system that is…

Superconductivity · Physics 2020-12-08 Philip W. Phillips , Luke Yeo , Edwin W. Huang

Inspired by the recent experimental advances in cold atom quantum simulators, we explore the experimentally implemented bosonic $t$-$t'$-$J$ model on the square lattice using large-scale density matrix renormalization group simulations. By…

Strongly Correlated Electrons · Physics 2026-03-06 Xin Lu , Jia-Xin Zhang , Lukas Homeier , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

A correlated material in the vicinity of an insulator-metal transition (IMT) exhibits rich phenomenology and variety of interesting phases. A common avenue to induce IMTs in Mott insulators is doping, which inevitably leads to disorder.…

The interplay of spin and charge degrees of freedom, introduced by doping mobile holes into a Mott insulator with strong anti-ferromagnetic (AFM) correlations, is at the heart of strongly correlated matter such as high-Tc cuprate…

Strongly Correlated Electrons · Physics 2019-06-26 Fabian Grusdt , Annabelle Bohrdt , Eugene Demler

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

We study a two-dimensional single band Hubbard Hamiltonian with antisymmetric spin-orbit coupling. We argue that this is the minimal model to understand the electronic properties of locally non-centrosymmetric transition-metal (TM) oxides…

Strongly Correlated Electrons · Physics 2021-04-30 Mehdi Biderang , Alireza Akbari , Jesko Sirker

The physics of doped Mott insulators is at the heart of some of the most exotic physical phenomena in materials research including insulator-metal transitions, colossal magneto-resistance, and high-temperature superconductivity in layered…

We present a way to quantum-disorder a pair density wave, and propose it to be a candidate of the effective low-energy description of the pseudogap metal which may reveal itself in a sufficiently high magnetic field that suppresses the…

Strongly Correlated Electrons · Physics 2020-02-12 Zhehao Dai , T. Senthil , Patrick A. Lee

Motivated by recent Raman and resonant inelastic X-ray scattering experiments performed for Mott insulators, which suggest formation of excitons in these systems, we present a theory of exciton formation in the upper Hubbard band. The…

Strongly Correlated Electrons · Physics 2009-11-07 P. Wrobel , R. Eder

We present a comprehensive study of the spin excitations - as measured by the dynamical spin structure factor $S(q,\omega)$ - of the so-called block-magnetic state of low-dimensional orbital-selective Mott insulators. We realize this state…

Strongly Correlated Electrons · Physics 2020-09-17 J. Herbrych , G. Alvarez , A. Moreo , E. Dagotto

We construct the low energy theory of a doped Mott insulator, such as the high-temperature superconductors, by explicitly integrating over the degrees of freedom far away from the chemical potential. For either hole or electron doping, a…

Strongly Correlated Electrons · Physics 2008-11-26 Robert G. Leigh , Philip Phillips , Ting-Pong Choy

We examine the dynamical magnetic response in a two-component resonating-valence-bond (RVB) description of the doped Mott insulator. The half-filled antiferromagnetic phase described by the Schwinger-boson mean-field theory will evolve into…

Strongly Correlated Electrons · Physics 2023-07-13 Jia-Xin Zhang , Chuan Chen , Jian-Hao Zhang , Zheng-Yu Weng

Due to the interplay between charge fluctuation and geometry frustration, the doped kagome-lattice Mott insulator is a fascinating platform to realize exotic quantum states. Through the state-of-the-art density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-12-29 Xu-Yan Jia , Fan Yang , D. N. Sheng , Shou-Shu Gong

In strongly correlated quantum materials, the behavior of charge carriers is dominated by strong electron-electron interactions. These can lead to insulating states with spin order, and upon doping to competing ordered states including…

Strongly Correlated Electrons · Physics 2023-05-03 Fabian Grusdt , Eugene Demler , Annabelle Bohrdt

We analyze enhancements in the magnitude of the self-energy for electrons far away from the Fermi surface in doped Mott insulators using the dynamical cluster approximation to the Hubbard model. For large onsite repulsion, U, and hole…

Strongly Correlated Electrons · Physics 2016-01-11 J. Merino , O. Gunnarsson , G. Kotliar

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a…

Superconductivity · Physics 2011-12-05 Zheng-Yu Weng

Mechanism of superconductivity (SC) in a purely interacting electron system has been one of the most challenging issues in condensed matter physics. In the BCS theory, the Landau's Fermi liquid is a normal state against which an SC…

Strongly Correlated Electrons · Physics 2020-09-30 Hong-Chen Jiang , Shuai Chen , Zheng-Yu Weng

The Hall coefficient exhibits anomalous behavior in lightly doped Mott insulators. For strongly interacting electrons its computation has been challenged by analytical and numerical obstacles. We calculate the leading contributions in the…

Strongly Correlated Electrons · Physics 2023-12-21 Ilia Khait , Sauri Bhattacharyya , Abhisek Samanta , Assa Auerbach

The electronic properties of Mott insulators realized in (111) bilayers of perovskite transition-metal oxides are studied. The low-energy effective Hamiltonians for such Mott insulators are derived in the presence of a strong spin-orbit…

Strongly Correlated Electrons · Physics 2015-06-11 Satoshi Okamoto

Understanding pairing in the strong-coupling regime of doped Mott insulators remains an open problem in the context of cuprate superconductors. We perform ultra-high resolution numerical simulations of spectral functions in the highly…

Strongly Correlated Electrons · Physics 2026-03-16 Pit Bermes , Sebastian Paeckel , Annabelle Bohrdt , Lukas Homeier , Fabian Grusdt