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We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

Since strong quantum fluctuations are essential for the emergence of quantum spin liquids, there have been extensive exploration and identification of spin liquid candidates in spin-$1/2$ systems, while such activities are rare in higher…

Strongly Correlated Electrons · Physics 2023-07-26 Wei-Wei Luo , Yixuan Huang , D. N. Sheng , W. Zhu

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

Strongly Correlated Electrons · Physics 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

The interplay among anisotropic magnetic terms, such as the bond-dependent Kitaev interactions and single-ion anisotropy, plays a key role in stabilizing the finite-temperature ferromagnetism in the two-dimensional compound $\rm{CrSiTe_3}$.…

Strongly Correlated Electrons · Physics 2022-01-05 Zongsheng Zhou , Ken Chen , Qiang Luo , Hong-Gang Luo , Jize Zhao

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

The Kitaev honeycomb model plays a pivotal role in the quest for quantum spin liquids, in which fractional quasiparticles would provide applications in decoherence-free topological quantum computing. The key ingredient is the bond-dependent…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai

We study a spinor (two-component) Bose gas confined in a one-dimensional double-valley optical lattice which has a double-well structure in momentum space. Based on field theory analysis, it is found that spinor bosons in the double-valley…

Quantum Gases · Physics 2017-12-15 Ying-Hai Wu , Xiaopeng Li , S. Das Sarma

We use Schwinger boson mean field theory (SBMFT) to study the ground state of the spin-$S$ triangular-lattice Heisenberg model with nearest ($J_1$) and next-nearest ($J_2$) neighbor antiferromagnetic interactions. Previous work on the…

Strongly Correlated Electrons · Physics 2017-10-25 Dag-Vidar Bauer , J. O Fjærestad

In this work, we introduce a solid-state platform for building quantum simulators using implanted spin centers in solid-state materials. We build upon the proposal for an $S=1$ chain of spin centers coupled through the magnetic…

Strongly Correlated Electrons · Physics 2025-10-23 Troy Losey , Jin Zhang , S. -W. Tsai

Kitaev spin liquid is proposed to be promisingly realized in low spin-orbit coupling $3d$ systems, represented by Na$_3$Co$_2$SbO$_6$ and Na$_3$Ni$_2$BiO$_6$. However, the existence of Kitaev interaction is still debatable among…

Strongly Correlated Electrons · Physics 2024-06-10 Zefeng Chen , Binhua Zhang , Weiqin Zhu , Lianchuang Li , Boyu Liu , Junsheng Feng , Changsong Xu , Hongjun Xiang

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

Recently there has been considerable excitement surrounding the promising realization of high-spin Kitaev material, such as the quasi-2D compound CrI$_3$ and CrGeTe$_3$. However, the stability of quantum spin liquids (QSL) against single…

Strongly Correlated Electrons · Physics 2025-04-01 Gui-Xin Liu , Ting-Long Wang , Yi-Fan Jiang

We investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external magnetic field $h$ in the [001] direction and upon tuning bond anisotropy of the Kitaev coupling $K_z$ keeping $K_x = K_y = K$. Guided by density…

Strongly Correlated Electrons · Physics 2024-03-19 Shi Feng , Adhip Agarwala , Nandini Trivedi

Due to the combination of a substantial spin-orbit coupling and correlation effects, iridium oxides hold a prominent place in the search for novel quantum states of matter, including, e.g., Kitaev spin liquids and topological Weyl states.…

Strongly Correlated Electrons · Physics 2017-07-11 Vamshi M. Katukuri , Ravi Yadav , Liviu Hozoi , Satoshi Nishimoto , Jeroen van den Brink

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

We combine tensor-network approaches and high-order linked-cluster expansions to investigate the quantum phase diagram of the antiferromagnetic Kitaev's honeycomb model in a magnetic field for general spin values. For the pure Kitaev model,…

Strongly Correlated Electrons · Physics 2024-10-08 Saeed S. Jahromi , Max Hörmann , Patrick Adelhardt , Sebastian Fey , Hooman Karamnejad , Roman Orus , Kai Phillip Schmidt

A family of spin-orbit coupled honeycomb Mott insulators offers a playground to search for quantum spin liquids (QSLs) via bond-dependent interactions. In candidate materials, a symmetric off-diagonal $\Gamma$ term, close cousin of Kitaev…

Strongly Correlated Electrons · Physics 2021-06-07 Qiang Luo , Jize Zhao , Hae-Young Kee , Xiaoqun Wang

Kitaev iridates have been proposed as candidates for realizing an elusive quantum spin liquid (QSL) state, in which strong spin-orbit coupling and bond-directional exchange generate a highly frustrated and entangled ground state. However,…

The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model. By analyzing the energy spectrum and entanglement entropy, for antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-05-08 David C. Ronquillo , Adu Vengal , Nandini Trivedi