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Antiferromagnetism and superconductivity are often viewed as competing orders in correlated electron systems. Here, we demonstrate that kinetic frustration in hole motion facilitates their coexistence within the square-lattice repulsive…

Strongly Correlated Electrons · Physics 2025-07-17 Yixin Zhang , Cristian Batista , Yang Zhang

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 study the system of multi-body interacting bosons on a two dimensional optical lattice and analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model. Assuming a repulsive two-body interaction we obtain the…

Quantum Gases · Physics 2020-08-19 Suman Mondal , Augustine Kshetrimayum , Tapan Mishra

We introduce a Hubbard model on a particular class of geometries, and consider the effect of doping the highly spin-degenerate Mott-insulating state with a microscopic number of holes in the extreme strong-coupling limit. The geometry is…

Strongly Correlated Electrons · Physics 2009-11-10 J. D. Champion , M. W. Long

We demonstrate that the infinite-$U$ triangular-lattice Hubbard model supports a superconducting state built from tightly bound Cooper pairs composed of two holes and one magnon ($2h1m$). Building on the seminal prediction of repulsively…

Superconductivity · Physics 2026-02-09 Hantian Zhu , Yixin Zhang , Shang-Shun Zhang , Yang Zhang , Cristian D. Batista

Pairing of mobile charge carriers in doped antiferromagnets plays a key role in the emergence of unconventional superconductivity. In these strongly correlated materials, the pairing mechanism is often assumed to be mediated by magnetic…

Understanding how particles bind into composite objects is a ubiquitous theme in physics, from the formation of molecules to hadrons in quantum chromodynamics and the pairing of charge carriers in superconductors. The formation of bound…

We analyse the ground-state properties of three-body constrained bosons in a one dimensional optical lattice with staggered hoppings analogous to the double well optical lattice. By considering attractive and repulsive on-site interactions…

Quantum Gases · Physics 2019-07-31 Suman Mondal , Sebastian Greschner , Tapan Mishra

The Hamiltonian describing a system of strongly correlated electrons coupled to dispersionless phonons was solved numerically for a ring of 8 atoms using the density matrix renormalization group (DMRG) method. It was found that electron…

Strongly Correlated Electrons · Physics 2007-05-23 Yury Petrov , Takeshi Egami

The spin configuration induced by single holes and hole pairs doped into stoichiometric, antiferromagnetic cuprates is considered. Unrestricted Hartree-Fock calculations for the three-band Hubbard model are employed to study spin-polaron…

Superconductivity · Physics 2009-10-26 A. Kesting , C. Timm

We study kinetic magnetism for the Fermi-Hubbard models in triangular type lattices, including a zigzag ladder, four- and six-legged triangular cylinders and a full two-dimensional triangular lattice. We focus on the regime of strong…

Strongly Correlated Electrons · Physics 2022-09-13 Ivan Morera , Márton Kanász-Nagy , Tomasz Smolenski , Livio Ciorciaro , Ataç Imamoğlu , Eugene Demler

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

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated. Dressed spin polarons in neighboring sites have an increased kinetic energy and an enhanced hopping rate. Both…

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

We analyze the formation of multi-particle bound states in ladders with frustrated kinetic energy in two component bosonic and two component fermionic systems. We focus on the regime of light doping relative to insulating states at…

Quantum Gases · Physics 2021-06-18 Ivan Morera , Annabelle Bohrdt , Wen Wei Ho , Eugene Demler

Cooper pairing instability in a Fermi liquid is well understood by the BCS theory, but pairing mechanism for doped Mott insulators still remains elusive. Previously it has been shown by density matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2014-08-28 Zheng Zhu , Hong-Chen Jiang , Dong-Ning Sheng , Zheng-Yu Weng

Microscopically understanding competing orders in strongly correlated systems is a key challenge in modern quantum many-body physics. For example, the study of magnetic polarons and their relation to pairing in the Fermi-Hubbard model in…

Strongly Correlated Electrons · Physics 2024-10-02 Henning Schlömer , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

Superconductivity · Physics 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun

We investigate the evolution of the Mott insulators in the triangular lattice Hubbard Model, as a function of hole doping $\delta$ in both the strong and intermediate coupling limits. Using the advanced density matrix renormalization group…

Strongly Correlated Electrons · Physics 2022-06-17 Zheng Zhu , D. N. Sheng , Ashvin Vishwanath

Interacting many-body systems combining confined and extended dimensions, such as ladders and few layer systems are characterized by enhanced quantum fluctuations, which often result in interesting collective properties. Recently…

Strongly Correlated Electrons · Physics 2022-06-29 Annabelle Bohrdt , Lukas Homeier , Immanuel Bloch , Eugene Demler , Fabian Grusdt

The intricate interplay between charge motion and magnetic order in geometrically frustrated lattices is central for the properties of many two-dimensional quantum materials. The triangular lattice antiferromagnet is a canonical example of…

Quantum Gases · Physics 2022-12-22 Jasper van de Kraats , Kristian K. Nielsen , Georg M. Bruun
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