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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

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

While the exact phase diagram of the Fermi-Hubbard model remains poorly understood despite decades of progress, nearly 60 years ago, Nagaoka proved that a single dopant in an otherwise half-filled Hubbard system can bring about…

Strongly Correlated Electrons · Physics 2025-06-12 Robin C. Newby , Ehsan Khatami

We use density matrix renormalization group to investigate the phase diagram of the Fermi Hubbard model on a triangular lattice with densities above half-filling, $1 \leq n < 2$. We discuss the important role of kinetic magnetism and…

Strongly Correlated Electrons · Physics 2024-02-23 Ivan Morera , Eugene Demler

We calculate the spin correlations that result from the motion of a single dopant in the hard-core Fermi-Hubbard model, as the geometry evolves from a square to a triangular lattice. In particular, we consider the square lattice with an…

Strongly Correlated Electrons · Physics 2025-12-17 Darren Pereira , Erich J. Mueller

The Kagome lattice Fermi-Hubbard model is one of the most physically rich, and at the same time most challenging, models to study in strongly-correlated physics. Among its special features are geometric frustration and a flat energy band…

Strongly Correlated Electrons · Physics 2026-04-30 Francisco Correia , Kyle Corbett , Ehsan Khatami

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

Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping. Even…

Quantum Gases · Physics 2017-05-03 J. H. Drewes , L. A. Miller , E. Cocchi , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

Quantum simulation platforms have become powerful tools for investigating strongly correlated systems beyond the capabilities of classical computation. Ultracold alkaline-earth atoms and molecules now enable experimental realizations of…

Quantum Gases · Physics 2025-06-03 Annika Böhler , Fabian Grusdt , Annabelle Bohrdt

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

Inspired by the recent experimental progress in pyrochlore derivative RE$_3$Sb$_3$A$_2$O$_{14}$ (A = Mg, Zn), we investigate the Hubbard model on the kagome lattice with an additional hopping $t'/t$, which enables continuous interpolation…

Strongly Correlated Electrons · Physics 2026-04-29 Zixuan Jia , Lufeng Zhang , Qingzhuo Duan , Zenghui Fan , Jingyao Wang , Ying Liang , Bing Huang , Tianxing Ma

The interplay between charge and spin dynamics is at the heart of strongly correlated materials. Inspired by recent quantum simulation experiments, we develop a conserving diagrammatic method to describe the Fermi-Hubbard model for strong…

The competition between antiferromagnetism and hole motion in two-dimensional Mott insulators lies at the heart of a doping-dependent transition from an anomalous metal to a conventional Fermi liquid. Condensed matter experiments suggest…

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

Inspired by recent advances in the fabrication of surface superlattices, and in particular the triangular lattice made of tin (Sn) atoms on silicon, we study an extended Hubbard mode on a triangular lattice. The observations of magnetism in…

Strongly Correlated Electrons · Physics 2025-02-17 Kun Woo Kim , T. Pereg-Barnea

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system…

Strongly Correlated Electrons · Physics 2023-08-02 Vinicius Zampronio , Tommaso Macrì

Understanding the interplay between charge and spin and its effects on transport is a ubiquitous challenge in quantum many-body systems. In the Fermi-Hubbard model, this interplay is thought to give rise to magnetic polarons, whose dynamics…

We present a finite temperature ($T$) study of the t-J model on the two-dimensional triangular lattice for the negative hopping $t$, as relevant for the electron-doped Na$_x$CoO$_2$ (NCO). To understand several aspects of this system, we…

Strongly Correlated Electrons · Physics 2009-11-11 Jan O. Haerter , Michael R. Peterson , B. Sriram Shastry

Understanding mechanisms of quantum ordering in strongly correlated systems remains a central challenge in condensed matter physics, with implications for designing novel quantum materials. Here, we investigate kinetic antiferromagnetism on…

Strongly Correlated Electrons · Physics 2024-11-14 Johan Carlström

Polarons are among the most fundamental quasiparticles emerging in interacting many-body systems, forming already at the level of a single mobile dopant. In the context of the two-dimensional Fermi-Hubbard model, such polarons are predicted…

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