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Related papers: Hubbard Model on Triangular Lattice: Role of Charg…

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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

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

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 provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard…

Strongly Correlated Electrons · Physics 2020-05-05 C. Boos , C. J. Ganahl , M. Lajkó , P. Nataf , A. M. Läuchli , K. Penc , K. P. Schmidt , F. Mila

We study magnetic and charge susceptibilities in the half-filled two-dimensional triangular Hubbard model within the dual fermion approximation in the metallic, Mott insulating, and crossover regions of parameter space. In the…

Strongly Correlated Electrons · Physics 2020-03-18 Shaozhi Li , Emanuel Gull

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

Strongly Correlated Electrons · Physics 2008-04-15 Peyman Sahebsara , David Sénéchal

The weak Mott insulating regime of the triangular lattice Hubbard model exhibits a rich magnetic phase diagram as a result of the ring exchange interaction in the spin Hamiltonian. These phases include the Kalmeyer-Laughlin type chiral spin…

Strongly Correlated Electrons · Physics 2025-12-23 Asimpunya Mitra , Daniel J. Schultz , Yong Baek Kim

The triangular lattice Hubbard model at strong coupling, whose effective spin model contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of the hopping $t$ to onsite Coulomb repulsion $U$ is…

Strongly Correlated Electrons · Physics 2026-04-21 Daniel J. Schultz , Alexandre Khoury , Félix Desrochers , Omid Tavakol , Emily Z. Zhang , Yong Baek Kim

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

The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

Triangular-lattice systems attract a lot of attention due to various frustration-induced and strongly correlated effects. Here, we focus on the charge-ordering phenomenon by means of investigation of the extended Hubbard model with…

Strongly Correlated Electrons · Physics 2026-05-19 Aleksey Alekseev , Agnieszka Cichy , Konrad Jerzy Kapcia

In a recent study [Phys. Rev. X 10, 021042 (2020)], we showed using large-scale density matrix renormalization group (DMRG) simulations on infinite cylinders that the triangular lattice Hubbard model has a chiral spin liquid phase. In this…

Strongly Correlated Electrons · Physics 2021-06-23 Aaron Szasz , Johannes Motruk

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

We show that geometric frustration and strong correlation in the triangular lattice Hubbard model lead a rich and novel phase structure of $\sqrt{3}\times\sqrt{3}$ spin-charge textured electronic states over a wide region of electron doping…

Strongly Correlated Electrons · Physics 2014-11-04 Kun Jiang , Sen Zhou , Ziqiang Wang

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

The pairing symmetry in the electron mechanism for superconductivity is explored when charge fluctuations coexist with spin fluctuations. The extended Hubbard model is adopted to obtain, with the fluctuation exchange approximation, a phase…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

We study a problem of interacting fractional charges with $J_1$-$J_2$-$J_3$ Ising model on a checkerboard lattice under magnetic field. As a result of the interplay between repulsive interactions and particle density tuning by magnetic…

Strongly Correlated Electrons · Physics 2019-10-18 Kunio Tokushuku , Tomonari Mizoguchi , Masafumi Udagawa

Spin and charge fluctuations at vicinity of metal-to-Mott insulator transitions are studied in an organic solid with molecular dimers. The extended Hubbard model taking account of the internal electronic degree of freedom in a molecular…

Strongly Correlated Electrons · Physics 2017-04-26 Naomichi Sato , Tsutomu Watanabe , Makoto Naka , Sumio Ishihara

The role of the multiorbital effects on the emergence of frustrated electronic orders on the triangular lattice at half filling is investigated through an extended spinless fermion Hubbard model. By using two complementary approaches,…

Strongly Correlated Electrons · Physics 2015-11-09 C. Février , S. Fratini , A. Ralko

The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca
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