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Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

In two-dimensional systems possessing a high degree of symmetry, the repulsive electron-electron interaction produces a pairing force; the mechanism would fail in the presence of strong distortions. We have studied this in the one-band and…

Superconductivity · Physics 2007-05-23 Michele Cini , Gianluca Stefanucci

Electron--electron repulsion, on the one hand, can result in bound pair, which has heavy effective mass. On the other hand, it is also the cause of Mott insulator. We study the effect of a staggered magnetic field on a Hubbard model. We…

Strongly Correlated Electrons · Physics 2022-11-16 X. Z. Zhang , Z. Song

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

Binding energy, which quantifies pair formation, is a key factor in the emergence of superconductivity. Here, we show that even when multiple spins are complexly coupled, hole-doped systems, which can be mapped onto the universal hardcore…

Superconductivity · Physics 2026-05-22 Ritsuki Hirabayashi , Masataka Kakoi , Ryota Ueda , Kazuhiko Kuroki , Tatsuya Kaneko

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

For the Mott insulator state of the Fermi-Hubbard model in the strong-coupling limit, we study the interaction between quasi-particles in the form of doublons and holons. Comparing different methods -- the hierarchy of correlations,…

Strongly Correlated Electrons · Physics 2023-11-08 Friedemann Queisser , Gernot Schaller , Ralf Schützhold

A key step in unraveling the mysteries of materials exhibiting unconventional superconductivity is to understand the underlying pairing mechanism. While it is widely agreed upon that the pairing glue in many of these systems originates from…

Strongly Correlated Electrons · Physics 2024-09-09 Annabelle Bohrdt , Eugene Demler , Fabian Grusdt

Long-range $(r \sim p_F^{-1} \gg lattice \ spacing)$ spin-wave exchange produces a very strong pairing of the holes. The different symmetry solutions of BCS-type equation for the superconducting gap $\Delta$ are found. The most strong…

Condensed Matter · Physics 2009-10-22 V. V. Flambaum , M. Yu. Kuchiev , O. P. Sushkov

The $\mathbb{Z}_2$ lattice gauge theory is a paradigmatic model that exhibits gauge-field-mediated-confinement of pairs of particles into mesons, drawing connections to quantum chromodynamics. In the absence of any additional attractive…

High Energy Physics - Lattice · Physics 2026-02-12 Sayak Guha Roy , Vaibhav Sharma , Kaidi Xu , Umberto Borla , Jad C. Halimeh , Kaden R. A. Hazzard

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated by systematically improving mean field calculations. The Configuration Interaction basis set is constructed by…

Strongly Correlated Electrons · Physics 2009-10-31 E. Louis , F. Guinea , M. P. Lopez-Sancho , J. A. Verges

Motivated by recent experimental progress on iron-based ladder compounds, we study the doped two-orbital Hubbard model for the two-leg ladder BaFe$_2$S$_3$. The model is constructed by using {\it ab initio} hopping parameters and the ground…

Strongly Correlated Electrons · Physics 2021-06-22 Bradraj Pandey , Rahul Soni , Ling-Fang Lin , Gonzalo Alvarez , Elbio Dagotto

Quantum simulations with ultracold fermions in triangular optical lattices have recently emerged as a new platform for studying magnetism in frustrated systems. Experimental realizations of the Fermi Hubbard model revealed striking contrast…

Quantum Gases · Physics 2024-03-27 Ivan Morera , Christof Weitenberg , Klaus Sengstock , Eugene Demler

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

A key to understanding unconventional superconductivity lies in unraveling the pairing mechanism of mobile charge carriers in doped antiferromagnets, yielding an effective attraction between charges even in the presence of strong repulsive…

Strongly Correlated Electrons · Physics 2024-03-26 Hannah Lange , Lukas Homeier , Eugene Demler , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

In order to obtain a reasonable phase diagram involving hole-pair condensation for hole-doped cuprate systems, we propose a modified t-J Hamiltonian in which a Coulomb repulsion term between nearest neighbor holes is considered. We show…

Superconductivity · Physics 2007-05-23 Sung-Sik Lee , Sung-Ho Suck Salk

We calculate the effective interaction $W_{eff}$ between two holes added to the ground state of the repulsive three-band Hubbard model. To make contact with Cooper theory and with earlier Hubbard model cluster studies, we first use a…

Superconductivity · Physics 2009-10-31 Michele Cini , Gianluca Stefanucci , Adalberto Balzarotti

Evidence for strong pairing at arbitrary small J/t is provided in a t-J model on the checkerboard lattice for the sign of hopping leading to frustration in hole motion. Destructive quantum interferences suppress Nagaoka ferromagnetism when…

Strongly Correlated Electrons · Physics 2007-05-23 Didier Poilblanc

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

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