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A novel gapped metallic state coined orthogonal Dirac semimetal is proposed in the honeycomb lattice in terms of $Z_{2}$ slave-spin representation of Hubbard model. This state corresponds to the disordered phase of slave-spin and has the…

强关联电子 · 物理学 2012-11-05 Yin Zhong , Ke Liu , Yong-Qiang Wang , Hong-Gang Luo

The quest for Kitaev quantum spin liquids has led to great interest in honeycomb quantum magnets with strong spin-orbit coupling. It has been recently proposed that even Mott insulators with $3d$ transition metal ions, having nominally weak…

强关联电子 · 物理学 2021-11-25 Shreya Das , Sreekar Voleti , Tanusri Saha-Dasgupta , Arun Paramekanti

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

强关联电子 · 物理学 2026-03-30 Jennifer Lin , Frank Krüger

The frustrated XY model on the honeycomb lattice has drawn lots of attentions because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing interactions. In this work, we study the extended…

强关联电子 · 物理学 2021-01-27 Yixuan Huang , Xiao-Yu Dong , D. N. Sheng , C. S. Ting

Using the density matrix renormalization group (DMRG) on wide cylinders, we study the phase diagram of the spin-1/2 XY model on the honeycomb lattice, with first-neighbor ($J_1 = 1$) and frustrating second-neighbor ($J_2>0$) interactions.…

强关联电子 · 物理学 2014-01-06 Zhenyue zhu , David A. Huse , Steven R. White

The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically…

强关联电子 · 物理学 2020-02-19 Xue-Yang Song , Yin-Chen He , Ashvin Vishwanath , Chong Wang

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

强关联电子 · 物理学 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Using variational wave functions and Monte Carlo techniques, we study the antiferromagnetic Heisenberg model with first-neighbor $J_1$ and second-neighbor $J_2$ antiferromagnetic couplings on the honeycomb lattice. We perform a systematic…

强关联电子 · 物理学 2017-10-06 Francesco Ferrari , Samuel Bieri , Federico Becca

By combining the density matrix renormalization group (DMRG) method with Gutzwiller projected wave functions, we study the SU(4) symmetric spin-orbital model on the honeycomb lattice. We find that the ground states can be well described by…

强关联电子 · 物理学 2023-05-10 Hui-Ke Jin , W. M. H. Natori , Johannes Knolle

The 5d-electron honeycomb compound H$_3$LiIr$_2$O$_3$ [K. Kitagawa $et$ $al.$, Nature 554, 341-345 (2018)] exhibits an apparent quantum spin liquid (QSL) state. In this intercalated spin-orbital compound, a remarkable pile up of low-energy…

强关联电子 · 物理学 2019-02-07 Johannes Knolle , Roderich Moessner , Natalia B. Perkins

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

强关联电子 · 物理学 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents

Based on the recent experiments on the triangular lattice antiferromagnet Na$_2$BaCo(PO$_4$)$_2$, we propose the easy-axis XXZ spin-1/2 model on the triangular lattice, that exhibits a quantum spin supersolid, to be a precursory Dirac spin…

强关联电子 · 物理学 2024-07-19 Haichen Jia , Bowen Ma , Zidan Wang , Gang Chen

Two-dimensional honeycomb lattices, characterized by their low coordination numbers, provide a fertile platform for exploring various quantum phenomena due to the intricate interplay between competing magnetic interactions, spin-orbit…

Motivated by the rich physics of honeycomb magnetic materials, we obtain the phase diagram and analyze magnetic properties of the spin-1/2 and spin-1 J1-J2-J3 Heisenberg model on the honeycomb lattice. Based on the SU(2) and SU(3) symmetry…

强关联电子 · 物理学 2018-05-16 J. Merino , A. Ralko

We study the zero-temperature ground-state (GS) phase diagram of a spin-half $J_{1}$--$J_{2}$ $XY$ model on the honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor exchange coupling…

强关联电子 · 物理学 2014-10-24 R. F. Bishop , P. H. Y. Li , C. E. Campbell

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

强关联电子 · 物理学 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

In the quest to find quantum spin liquids, layered cobalt oxides Na2Co2TeO6 and Na3Co2SbO6 have been proposed as promising candidates for approximating the Kitaev honeycomb model. Yet, their suitability has been thrown into question due to…

The Dirac spin liquid (DSL) is a two-dimensional (2D) fractionalized Mott insulator featuring massless Dirac spinon excitations coupled to a compact $U(1)$ gauge field, which allows for flux-tunneling instanton events described by magnetic…

强关联电子 · 物理学 2024-05-08 G. Shankar , Joseph Maciejko

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising…

强关联电子 · 物理学 2020-07-23 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…