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The newly identified field-induced up-up-down order in Ba$_3$CoSb$_2$O$_9$ etc. renewed attention on exotic phases in spin-1/2 triangular-lattice antiferromagnets. Here, we report a unique zero-field noncoplanar up,up,down, down,down,up…

Strongly Correlated Electrons · Physics 2024-11-05 X. G. Zheng , M. Hagihala , I. Yamauchi , E. Nishibori , T. Honda , T. Yuasa , C. -N. Xu

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents

We extend the Anderson impurity model to a large-spin Fermi system with spin $f$=3/2, stimulated by the realization of large-spin ultracold Fermi atoms. The condition required for the spontaneous formation of local magnetic moments is…

Quantum Gases · Physics 2019-05-15 Bin-Zhou Mi , Qiang Gu

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

We find an exotic spin excitation in a magnetically ordered system with spin orbit magnetism in 2D, where the order parameter has a net spin current and no net magnetization. Starting from a Fermi liquid theory, similar to that for a weak…

Strongly Correlated Electrons · Physics 2013-04-03 Yi Zhang , Kevin S. Bedell

Recent experiments suggest a quantum spin liquid ground state in the material PbCuTe$_2$O$_6$, where $S=1/2$ moments are coupled by antiferromagnetic Heisenberg interactions into a three dimensional structure of corner sharing triangles…

Strongly Correlated Electrons · Physics 2021-09-15 Li Ern Chern , Yong Baek Kim

One of the key questions concerning frustrated lattices that has lately emerged is the role of disorder in inducing spin-liquid-like properties. In this context, the quantum kagome antiferromagnets YCu$_3$(OH)$_6$Cl$_3$, which has been…

Strongly Correlated Electrons · Physics 2019-07-02 A. Zorko , M. Pregelj , M. Klanjšek , M. Gomilšek , Z. Jagličić , J. S. Lord , J. A. T. Verezhak , T. Shang , W. Sun , J. -X. Mi

The existence of a spin-liquid ground state of the $s=1/2$ Heisenberg kagome antiferromagnet (KAFM) is well established. Meanwhile, also for the $s=1$ Heisenberg KAFM evidence for the absence of magnetic long-range order (LRO) was found.…

Strongly Correlated Electrons · Physics 2017-04-25 Johannes Richter , Oliver Götze

We have discovered a novel candidate for a spin liquid state in a ruthenium oxide composed of dimers of $S = $ 3/2 spins of Ru$^{5+}$,Ba$_3$ZnRu$_2$O$_9$. This compound lacks a long range order down to 37 mK, which is a temperature…

We investigate the spin-ordered states in multilayer massless Dirac fermion systems under magnetic fields, in which the intralayer interaction is ferromagnetic owing to the exchange interaction, while the interlayer interaction is…

Strongly Correlated Electrons · Physics 2014-06-30 Kenji Kubo , Takao Morinari

We utilize variational method to investigate the Kondo screening of a spin-1/2 magnetic impurity in tilted Dirac surface states with the Dirac cone tilted along the $k_y$-axis. We mainly study about the effect of the tilting term on the…

Strongly Correlated Electrons · Physics 2018-01-22 Jin-Hua Sun , Lu-Ji Wang , Xing-Tai Hu , Lin Li , Dong-Hui Xu

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

Strongly Correlated Electrons · Physics 2009-11-10 Olexei I. Motrunich

We obtain a classical spin liquid (CSL) phase by applying a magnetic field in $J_1$-$J_2$-$J_3$ Ising model on a kagome lattice. As we proved in the previous study [Phys. Rev. Lett. {\bf 119}, 077207 (2017)], this model realizes one species…

Strongly Correlated Electrons · Physics 2020-04-28 Kunio Tokushuku , Tomonari Mizoguchi , Masafumi Udagawa

Recently, thermal Hall effect has been observed in the paramagnetic state of Volborthite, which consists of distorted Kagome layers with $S=1/2$ local moments. Despite the appearance of a magnetic order below $1 \, \mathrm{K}$, the response…

Strongly Correlated Electrons · Physics 2017-10-18 Li Ern Chern , Robert Schaffer , Sopheak Sorn , Yong Baek Kim

We investigate the ground state and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnet on an infinite octa-kagome lattice by utilizing state-of-the-art tensor network-based numerical methods. It is shown that the…

Strongly Correlated Electrons · Physics 2017-05-18 Cheng Peng , Shi-Ju Ran , Tao Liu , Xi Chen , Gang Su

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

Strongly Correlated Electrons · Physics 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , Federico Becca

We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite…

Strongly Correlated Electrons · Physics 2024-07-30 Yu-Ping Lin , Chunxiao Liu , Joel E. Moore

Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct…

Strongly Correlated Electrons · Physics 2025-06-05 Anjishnu Bose , Kathleen Hart , Ruairidh Sutcliffe , Arun Paramekanti

The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the $\sqrt{3}\times\sqrt{3}$ type; the interactions are…

Materials Science · Physics 2017-05-15 Hiroki Nakano , Toru Sakai

The $\mathrm{U}(1)$ Dirac spin liquid provides a useful organizing framework for frustrated magnets: it offers an algebraic parent state from which competing orders, confinement patterns, and low-energy spectral features can be understood.…

Strongly Correlated Electrons · Physics 2026-05-22 Yunchao Zhang , Andreas Feuerpfeil , Subir Sachdev , Ronny Thomale , Yasir Iqbal