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On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

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 spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

Strongly Correlated Electrons · Physics 2020-07-15 Francesco Ferrari , Federico Becca

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

Strongly Correlated Electrons · Physics 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli

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…

Strongly Correlated Electrons · Physics 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

Based on experimental data and our theoretical analysis, we provide a strategy for unambiguous establishing of gapless quantum spin liquid state (QSL) in herbertsmithite and other materials. To clarify the nature of QSL, we recommend…

In a recent paper [arXiv:1601.02165], Tao Li claimed that a gapped $\mathbb{Z}_2$ spin liquid, obtained using projected Gutzwiller fermionic wave functions, can be stabilized in the Heisenberg model on the kagome lattice. We perform very…

Strongly Correlated Electrons · Physics 2016-06-08 Yasir Iqbal , Didier Poilblanc , Federico Becca

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

The molecular triangular lattice system, beta'-EtMe3Sb[Pd(dmit)2]2, is considered as a candidate material for the quantum spin liquid (QSL) state, although ongoing debates arise from recent controversial results. Here, the results of…

Strongly Correlated Electrons · Physics 2024-12-05 Yugo Oshima , Yasuyuki Ishii , Francis L. Pratt , Isao Watanabe , Hitoshi Seo , Takao Tsumuraya , Tsuyoshi Miyazaki , Reizo Kato

Quantum spin liquids exhibit fractionalized spin excitations as a consequence of strong quantum many-body effects. The kagome antiferromagnetic Heisenberg model is a promising candidate for a quantum spin-liquid ground state; however, the…

Strongly Correlated Electrons · Physics 2026-03-24 Daiki Sasamoto , Joji Nasu

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

Quantum spin-orbital liquids (QSOLs) are a novel phase of matter, similar to quantum spin liquids, with quantum fluctuations in both spin and orbital degrees of freedom. We use non-equilibrium Green's function theory to study…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Zekun Zhuang , J. B. Marston

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

The spin-1/2 Heisenberg antiferromagnetic chain is ideal for realizing one of the simplest gapless quantum spin-liquids (QSLs), supporting a many-body ground state whose elementary excitations are fractional fermionic excitations called…

Strongly Correlated Electrons · Physics 2020-07-01 Thao T. Tran , Chris A. Pocs , Yubo Zhang , Michal J. Winiarski , Jianwei Sun , Minhyea Lee , Tyrel M. McQueen

The Kitaev quantum spin liquid (KSL) is a theoretically predicted state of matter whose fractionalized quasiparticles are distinct from bosonic magnons, the fundamental excitation in ordered magnets. The layered honeycomb antiferromagnet…

Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

Spin-1/2 kagome-lattice Heisenberg antiferromagnet is theoretically known to have a quantum spin liquid ground state, one of the frontiers of condensed matter physics. The search for the model substances has been continued for a long time,…

Strongly Correlated Electrons · Physics 2024-08-21 Hidekazu Tanaka

Pinch point singularities, associated with flat band magnetic excitations, are tell-tale signatures of Coulomb spin liquids. While their properties in the presence of quantum fluctuations have been widely studied, the fate of the…

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