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Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

While a quantum spin liquid (QSL) phase has been identified in the $J_1$-$J_2$ Heisenberg model on a triangular lattice via numerical calculations, debate persists about whether or not such a QSL is gapped or gapless, with contradictory…

Strongly Correlated Electrons · Physics 2022-08-25 Ta Tang , Brian Moritz , Thomas P. Devereaux

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Quantum spin liquid (QSL) has become an exciting topic in interacting spin systems that do not order magnetically down to the lowest experimentally accessible temperature; however, conclusive experimental evidence remains lacking. Motivated…

Strongly Correlated Electrons · Physics 2023-10-26 Saikat Banerjee , Wei Zhu , Shi-Zeng Lin

Spectral probes, such as neutron scattering, are crucial for characterizing excitations in quantum many-body systems and the properties of quantum materials. Among the most elusive phases of matter are quantum spin liquids, which have no…

Strongly Correlated Electrons · Physics 2023-05-10 Nicholas E. Sherman , Maxime Dupont , Joel E. Moore

We investigate the nature of quantum phases arising in chiral interacting Hamiltonians recently realized in Rydberg atom arrays. We classify all possible fermionic chiral spin liquids with $\mathrm{U}(1)$ global symmetry using parton…

Strongly Correlated Electrons · Physics 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

We use an exact {\it holon} and {\it spinon} Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both…

Strongly Correlated Electrons · Physics 2021-06-18 J. M. P. Carmelo , J. M. E. Guerra , J. M. B. Lopes dos Santos , A. H. Castro Neto

The properties and experimental identification of quantum spin liquids (QSLs) remain an important topic with many fundamental questions. Here, we explore the dynamics of a single charge dopant (hole) in a $t$-$J_{1}$-$J_{2}$ model on a…

Strongly Correlated Electrons · Physics 2025-02-26 J. H. Nyhegn , K. Knakkergaard Nielsen , G. M. Bruun

At strong repulsion, the triangular-lattice Hubbard model is described by $s=1/2$ spins with nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120$^\circ$ order. Using the infinite density matrix…

Strongly Correlated Electrons · Physics 2021-09-07 Tessa Cookmeyer , Johannes Motruk , Joel E. Moore

We investigate the weak interaction integer quantum Hall (IQH) phase, the intermediate interaction phase identified as a chiral spin liquid (CSL) and the transition between them in the triangular lattice Hofstadter-Hubbard model at a…

Strongly Correlated Electrons · Physics 2026-02-10 Cesar A. Gallegos , Rafael M. Magaldi , Andrew Millis , Steven R. White

Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen

The existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations…

Strongly Correlated Electrons · Physics 2021-11-01 Luca F. Tocchio , Arianna Montorsi , Federico Becca

In this work we study the crystal symmetry fractionalization in chiral spin liquids with the chiral-semion topological order. We show that if such a chiral spin liquid is realized in a two-dimensional lattice model with odd number of…

Strongly Correlated Electrons · Physics 2015-11-26 Lukasz Cincio , Yang Qi

Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In the absence of static magnetic order, the spin excitation…

Strongly Correlated Electrons · Physics 2026-03-31 Jiahang Hu , Runze Chi , Yibin Guo , B. Normand , Hai-Jun Liao , T. Xiang

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field…

Strongly Correlated Electrons · Physics 2025-08-01 Josef Willsher , Johannes Knolle

We use a recently developed extension of the weak coupling diagrammatic determinantal quantum Monte Carlo method to investigate the spin, charge and single particle spectral functions of the one-dimensional quarter-filled Holstein model…

Strongly Correlated Electrons · Physics 2011-04-13 F. F. Assaad

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

We propose an approach for studying the spin liquid phase of the Hubbard model on the triangular lattice by combining the Baym-Kadanoff formalism with the slave rotor parton construction. This method enables the computation of a series of…

Strongly Correlated Electrons · Physics 2026-05-11 Xia-Ming Zheng , Mehdi Kargarian
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