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Related papers: The kagome antiferromagnet: a chiral topological s…

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We investigate the extended Heisenberg model on the Kagome lattice by using Gutzwiller projected fermionic states and the variational Monte Carlo technique. In particular, when both second- and third-neighbor super-exchanges are considered,…

Strongly Correlated Electrons · Physics 2015-05-26 Wen-Jun Hu , Wei Zhu , Yi Zhang , Shoushu Gong , Federico Becca , D. N. Sheng

We propose in this work an effective field theory description of the chiral spin liquid state in Heisenberg spin system on kagom\'e lattice.To this end, we derive the low-energy effective theory of kagom\'e (isotropic) Heisenberg…

Strongly Correlated Electrons · Physics 2018-05-08 Imam Makhfudz

We study an exactly solvable quantum spin model of Kitaev type on the kagome lattice. We find a rich phase diagram which includes a topological (gapped) chiral spin liquid with gapless chiral edge states, and a gapless chiral spin liquid…

Strongly Correlated Electrons · Physics 2015-03-17 Victor Chua , Hong Yao , Gregory A. Fiete

Recent numerical studies have provided strong evidence for a gapped $Z_2$ quantum spin liquid in the kagome lattice spin-1/2 Heisenberg model. A special feature of spin liquids is that symmetries can be fractionalized, and different…

Strongly Correlated Electrons · Physics 2018-01-01 Yuan-Ming Lu , Gil Young Cho , Ashvin Vishwanath

Motivated by the recent synthesis of the spin-1 A-site spinel NiRh$_{\text 2}$O$_{\text 4}$, we investigate the classical to quantum crossover of a frustrated $J_1$-$J_2$ Heisenberg model on the diamond lattice upon varying the spin length…

Strongly Correlated Electrons · Physics 2018-02-01 Finn Lasse Buessen , Max Hering , Johannes Reuther , Simon Trebst

The kagome lattice sits at the crossroad of present research efforts in quantum spin liquids, chiral phases, emergent skyrmion excitations and anomalous Hall effects to name but a few. In light of this diversity, our goal in this paper is…

Strongly Correlated Electrons · Physics 2016-02-17 K. Essafi , Owen Benton , Ludovic D. C. Jaubert

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

Strongly Correlated Electrons · Physics 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

We study the nearest neighbor $XXZ$ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: a) a chirality term, b) a Dzyaloshinski-Moriya term, and c) a ring-exchange type term on…

Strongly Correlated Electrons · Physics 2015-10-02 Krishna Kumar , Kai Sun , Eduardo Fradkin

Topological phases in frustrated quantum magnetic systems have captivated researchers for decades, with the chiral spin liquid (CSL) standing out as one of the most compelling examples. Featured by long-range entanglement, topological…

Strongly Correlated Electrons · Physics 2025-12-03 Chenan Wei , Liu Yang , Qing-Dong Jiang

We numerically study the spin-$1/2$ breathing kagome lattice. In this variation of the kagome Heisenberg antiferromagnet, the spins belonging to upward and downward facing triangles have different coupling strengths. Using the density…

Strongly Correlated Electrons · Physics 2017-11-22 Cécile Repellin , Yin-Chen He , Frank Pollmann

Quantum spin-1/2 kagome Heisenberg antiferromagnet is the representative frustrated system possibly hosting a spin liquid. Clarifying the nature of this elusive topological phase is a key challenge in condensed matter, however, even…

Strongly Correlated Electrons · Physics 2015-06-16 Satoshi Nishimoto , Naokazu Shibata , Chisa Hotta

We study the zero-temperature phase diagram of the spin-$\frac{1}{2}$ Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large…

Strongly Correlated Electrons · Physics 2021-01-01 Saeed S. Jahromi , Roman Orus , Didier Poilblanc , Frédéric Mila

The kagome Heisenberg antiferromagnet is a leading candidate in the search for a spin system with a quantum spin-liquid ground state. The nature of its ground state remains a matter of great debate. We conducted 17-O single crystal NMR…

Strongly Correlated Electrons · Physics 2015-11-09 M. Fu , T. Imai , T. -H. Han , Y. S. Lee

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

By using Gutzwiller projected fermionic wave functions and variational Monte Carlo technique, we study the spin-$1/2$ Heisenberg model with the first-neighbor ($J_1$), second-neighbor ($J_2$), and additional scalar chiral interaction…

Strongly Correlated Electrons · Physics 2016-09-07 Wen-Jun Hu , Shou-Shu Gong , D. N. Sheng

We describe a coupled-chain construction for chiral spin liquids in two-dimensional spin systems. Starting from a one-dimensional zigzag spin chain and imposing SU(2) symmetry in the framework of non-Abelian bosonization, we first show that…

Strongly Correlated Electrons · Physics 2015-06-24 Gregory Gorohovsky , Rodrigo G. Pereira , Eran Sela

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

In this work we study the crystal symmetry fractionalization in chiral spin liquids with the chiral-semion topological order. We show that if such a chiral spin liquid is realized in a two-dimensional lattice model with odd number of…

Strongly Correlated Electrons · Physics 2015-11-26 Lukasz Cincio , Yang Qi

Condensed matter physicists have long sought a realistic two-dimensional (2D) magnetic system whose ground state is a {\it spin liquid}---a zero temperature state in which quantum fluctuations have melted away any form of magnetic order.…

Strongly Correlated Electrons · Physics 2012-08-16 Simeng Yan , David A. Huse , Steven R. White

We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids.…

Strongly Correlated Electrons · Physics 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther