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The effect of nearest-neighbor repulsion on the ground-state phase diagrams of three-body constrained attractive Bose lattice gases is explored numerically. When the repulsion is turned on, in addition to the uniform Mott insulating state…

Quantum Gases · Physics 2011-09-19 Yung-Chung Chen , Kwai-Kong Ng , Min-Fong Yang

A three-fermion problem in a three-dimensional lattice with anisotropic hopping is solved by discretizing the Schroedinger equation in momentum space. Interparticle interaction comprises on-site Hubbard repulsion and in-plane…

Superconductivity · Physics 2020-04-22 Pavel Kornilovitch

We study the effects of doping a Mott insulator on the honeycomb lattice where spins interact via direction dependent Kitaev couplings J_K, and weak antiferromagnetic Heisenberg couplings J. This model is known to have a spin liquid ground…

Strongly Correlated Electrons · Physics 2012-08-30 Yi-Zhuang You , Itamar Kimchi , Ashvin Vishwanath

We investigate the effect of hole doping on the strong-coupling Hubbard model at half-filling in spatial dimensions $D\ge 1$. We start with an antiferromagnetic mean-field description of the insulating state, and show that doping creates…

Condensed Matter · Physics 2009-10-28 Junwu Gan , Dung-Hai Lee , Per Hedegard

We revisit the problem of a single hole moving in the background of the two dimensional Heisenberg antiferromagnet. The hole is loosely bound by an impurity potential. We show that the bound state is generically a parity doublet: there are…

Strongly Correlated Electrons · Physics 2015-05-14 O. P. Sushkov , J. Oitmaa

We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system and a non-bipartite lattice a single holon-doublon (HD) pair…

Strongly Correlated Electrons · Physics 2016-01-06 Peter Prelovšek , Jure Kokalj , Zala Lenarčič , Ross H. McKenzie

Frustration of long-range order via lattice geometries serves to amplify fluctuations of the order parameter and generate unconventional ground states that are highly sensitive to perturbations. Traditionally, this concept of geometric…

A single-hole ground state Ansatz for the two-dimensional t-J model has been recently studied by the variational Monte Carlo (VMC) method. Such a doped hole behaves like a "twisted" non-Landau quasiparticle characterized by an emergent…

Strongly Correlated Electrons · Physics 2022-04-01 Jing-Yu Zhao , Shuai A. Chen , Hao-Kai Zhang , Zheng-Yu Weng

Mott insulator plays a central role in strongly correlated physics, where the repulsive Coulomb interaction dominates over the electron kinetic energy and leads to insulating states with one electron occupying each unit cell. Doped Mott…

We consider the two-band Hubbard model, where electrons from different bands interact through an on-site one- and two-particle hybridization. The proposed Hamiltonian makes it possible to construct an effective theory and answer the…

Strongly Correlated Electrons · Physics 2026-01-07 Igor N. Karnaukhov

Ideas about resonant valence bond liquids and spin-charge separation have led to key concepts in physics such as quantum spin liquids, emergent gauge symmetries, topological order, and fractionalisation. Despite extensive efforts to…

We pursue three-body bound states in a one-dimensional tight-binding lattice described by the Bose-Hubbard model with strong on-site interaction. Apart from the simple strongly-bound "trimer" state corresponding to all three particles…

Other Condensed Matter · Physics 2010-01-05 Manuel Valiente , David Petrosyan , Alejandro Saenz

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

We study the phase diagram of a one-dimensional Hubbard model where, in addition to the standard nearest neighbor hopping $t$, we also include a next-to-nearest neighbor hopping $t'$. For strong enough on-site repulsion, this model has a…

Condensed Matter · Physics 2009-10-28 Michele Fabrizio

The two-dimensional (2D) Hubbard model is widely believed to capture key ingredients of high-$T_c$ superconductivity in cuprate materials. However, compelling evidence remains elusive. In particular, various magnetic orders may emerge as…

Strongly Correlated Electrons · Physics 2025-10-30 Changkai Zhang , Jheng-Wei Li , Jan von Delft

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

Two-dimensional (2D) moire materials provide a new solid-state platform with unprecedented controllability for studies of correlated quantum phenomena. To date, experimental studies have focused on the correlated electronic states; the…

Strongly Correlated Electrons · Physics 2021-08-18 Jie Gu , Liguo Ma , Song Liu , Kenji Watanabe , Takashi Taniguchi , James C. Hone , Jie Shan , Kin Fai Mak

We study the effect of Coulomb interaction between two oppositely doped low-dimensional tJ model systems. We exactly show that, in the one-dimensional case, an arbitrarily weak interaction leads to the formation of charge neutral…

Strongly Correlated Electrons · Physics 2009-11-11 Tiago C. Ribeiro , Alexander Seidel , Jung Hoon Han , Dung-Hai Lee

In the limit of large nearest--neighbor and on--site Coulomb repulsions, the Hubbard model on the planar pyrochlore lattice maps, near quarter-filling, onto a doped quantum fully packed loop model. The phase diagram exhibits at quarter…

Strongly Correlated Electrons · Physics 2007-06-27 Didier Poilblanc , Karlo Penc , Nic Shannon

We investigate the pairing tendencies in the hole-doped Haldane spin-1 chain. To allow for doping, we extend the original spin chain Hamiltonian into a fermionic model involving a two-orbital Hubbard chain at intermediate or strong…

Strongly Correlated Electrons · Physics 2024-08-29 Pontus Laurell , Jacek Herbrych , Gonzalo Alvarez , Elbio Dagotto