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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

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

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

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

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

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

We study the ground state properties of the Hubbard model on three-leg triangular cylinders using large-scale density-matrix renormalization group simulations. At half-filling, we identify an intermediate gapless spin liquid phase between a…

Strongly Correlated Electrons · Physics 2022-02-24 Cheng Peng , Yi-Fan Jiang , Yao Wang , Hong-Chen Jiang

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 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

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is…

Strongly Correlated Electrons · Physics 2017-02-01 Alexander Wietek , Andreas M. Läuchli

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization…

Strongly Correlated Electrons · Physics 2022-09-20 Wilhelm Kadow , Laurens Vanderstraeten , Michael Knap

A chiral spin liquid (CSL) phase has been recently reported in the Hubbard model on a triangular lattice at half-filling. It emerges in an intermediate coupling regime, which is sandwiched between a $120^\circ$ antiferromagnetic (AFM) phase…

Strongly Correlated Electrons · Physics 2023-06-21 Ji-Si Xu , Zheng Zhu , Kai Wu , Zheng-Yu Weng

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

Recent numerical simulations find a possible chiral spin liquid state in the intermediate coupling regime of the triangular lattice Hubbard model. Here we provide a simple picture for its origin in terms of a Bosonic RVB description. More…

Strongly Correlated Electrons · Physics 2021-08-06 Qiu Zhang , Tao Li

Motivated by cold atom experiments on Chern insulators, we study the honeycomb lattice Haldane-Hubbard Mott insulator of spin-$1/2$ fermions using exact diagonalization and density matrix renormalization group methods. We show that this…

Strongly Correlated Electrons · Physics 2016-04-06 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum phases. In particular, a spin-liquid phase is present in…

Strongly Correlated Electrons · Physics 2007-05-23 M. Q. Weng , D. N. Sheng , Z. Y. Weng , Robert J. Bursill

We show that the spin liquid phase of the half-filled Hubbard model on the triangular lattice can be described by a pure spin model. This is based on a high-order strong coupling expansion (up to order 12) using perturbative continuous…

Strongly Correlated Electrons · Physics 2011-01-17 H-Y. Yang , A. Laeuchli , F. Mila , K. P. Schmidt

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

Recent numerical work (Nature 464, 847 (2010)) indicates the existence of a spin liquid phase (SL) that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better…

Strongly Correlated Electrons · Physics 2011-08-18 B. K. Clark , D. A. Abanin , S. L. Sondhi

Despite long-standing theoretical interest, the chiral spin liquid, a topologically ordered phase, has yet to be observed experimentally. Here we surprisingly find its emergence in an experimentally realized dipolar $\text{XY}$ model when…

Strongly Correlated Electrons · Physics 2026-03-24 Yu-Feng Mao , Shicheng Ma , Yong Xu
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