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It is generally believed that the spin-$\tfrac{1}{2}$ triangular-lattice $J_1$-$J_2$ Heisenberg model hosts a quantum spin liquid in the intermediate regime between the $120^\circ$ and stripe ordered phases. Density matrix renormalization…

Strongly Correlated Electrons · Physics 2026-03-11 Oleksandra Kovalska , Ester Pagès Fontanella , Benedikt Schneider , Hong-Hao Tu , Jan von Delft

Motivated by the mathematical beauty and the recent experimental realizations of fractal systems, we study the spin-$1/2$ antiferromagnetic Heisenberg model on a Sierpi\'nski gasket. The fractal porous feature generates new kinds of…

Strongly Correlated Electrons · Physics 2024-09-25 Haiyuan Zou , Wei Wang

We consider a SU(3) model with antiferromagnetic three-site ring exchanges, in addition to two-site exchanges, on the triangular lattice. We first present numerical site-factorized state studies on the magnetic ordered states, which shows…

Strongly Correlated Electrons · Physics 2013-05-13 Hsin-Hua Lai

We propose a finite-temperature phase diagram for the 2D spin-$1/2$ $J_1-J_2$ $XXZ$ antiferromagnet on the triangular lattice. Our analysis, based on a composite fermion representation, yields several phases. This includes a…

Strongly Correlated Electrons · Physics 2020-07-23 Tigran A. Sedrakyan , Roderich Moessner , Alex Kamenev

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

Strongly Correlated Electrons · Physics 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- ($J_1$) and next-nearest-neighbor ($J_2$) super-exchange couplings, we provide a solid evidence that the spin-liquid phase in the…

Strongly Correlated Electrons · Physics 2015-06-15 Wen-Jun Hu , Federico Becca , Alberto Parola , Sandro Sorella

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 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 use the coupled cluster method implemented at high orders of approximation to study the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice with Heisenberg interactions between nearest-neighbour and next-nearest-neighbour…

Strongly Correlated Electrons · Physics 2016-01-12 R. F. Bishop , P. H. Y. Li

Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the…

Strongly Correlated Electrons · Physics 2025-12-10 Tingyu Gao , Niklas Tausendpfund , Erik L. Weerda , Jan Naumann , Matteo Rizzi , David F. Mross

We use the tensor network algorithm to show evidences of a non-uniform chiral spin-liquid (CSL) ground state in a frustrated spin-1/2 model on a square lattice, in the regime of moat-like band structure of the lattice, i.e., a band with…

Strongly Correlated Electrons · Physics 2018-12-06 Rui Wang , Haiyuan Zou , Tigran Sedrakyan , Baigeng Wang , D. Y. Xing

The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

Strongly Correlated Electrons · Physics 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

Chirality of materials in nature appears when there are asymmetries in their lattice structures or interactions in a certain environment. Recent development of quantum simulation technology has enabled the manipulation of qubits.…

Strongly Correlated Electrons · Physics 2016-06-23 Tetsufumi Tanamoto

We propose a novel quantum spin liquid state that can explain many of the intriguing experimental properties of the low-temperature phase of the organic spin liquid candidate materials. This state of paired fermionic spinons preserves all…

Strongly Correlated Electrons · Physics 2013-10-18 Ryan V. Mishmash , James R. Garrison , Samuel Bieri , Cenke Xu

The nature of the ground state for the $S = 1/2$ kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state might be a chiral spin liquid. Combining…

Strongly Correlated Electrons · Physics 2024-02-06 Rong-Yang Sun , Hui-Ke Jin , Hong-Hao Tu , Yi Zhou

Motivated by recent experiments on material Ba3NiSb2O9, we propose two novel spin liquid phases (A and B) for spin-1 systems on a triangular lattice. At the mean field level, both spin liquid phases have gapless fermionic spinon excitations…

Strongly Correlated Electrons · Physics 2013-05-30 Cenke Xu , Fa Wang , Yang Qi , Leon Balents , Matthew P. A. Fisher

We present a multimethod investigation into the nature of the recently reported quantum spin liquid (QSL) phase in the spin-$1/2$ Heisenberg antiferromagnet on the Shastry-Sutherland lattice. A comprehensive projective symmetry group…

For certain crystalline systems, most notably the organic compound EtMe3Sb[Pd(dmit)2]2, experimental evidence has accumulated of an insulating state with a high density of gapless neutral excitations that produce Fermi-liquid-like power…

Strongly Correlated Electrons · Physics 2013-04-09 Maissam Barkeshli , Hong Yao , Steven A. Kivelson
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