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We study the low temperature static and dynamical properties of the classical bond-disordered antiferromagnetic Heisenberg model on the kagome lattice. This model has recently been shown to host a new type of spin liquid exhibiting an…

Strongly Correlated Electrons · Physics 2019-02-20 Thomas Bilitewski , Mike E. Zhitomirsky , Roderich Moessner

The nature of the magnetic ground state of highly frustrated systems remained puzzling to this day. Here, we have performed multifrequency electron spin resonance (ESR) measurements on a putative quantum spin liquid compound…

Spin liquids are exotic phases of quantum matter challenging Landau's paradigm of symmetry-breaking phase transitions. Despite strong exchange interactions, spins do not order or freeze down to zero temperature. While well-established for…

Strongly Correlated Electrons · Physics 2020-04-22 P. Khuntia , M. Velazquez , Q. Barthélemy , F. Bert , E. Kermarrec , A. Legros , B. Bernu , L. Messio , A. Zorko , P. Mendels

The three-dimensional frustrated spin lattice in MgCrGaO4, where Cr3+ ions occupy a pyrochlore-like network, exemplifies a quantum magnet with competing interactions, macroscopic degeneracy, and exotic low-energy excitations. Using…

Strongly Correlated Electrons · Physics 2026-03-17 U. Jena , S. Kundu , Suheon Lee , Q. Faure , F. Damay , S. Rols , Adam Berlie , S. Petit , Kwang-Yong Choi , P. Khuntia

The centred pyrochlore lattice is a novel geometrically frustrated lattice, realized in the metal-organic framework Mn(ta)$_2$ (arXiv:2203.08780) where the basic unit of spins is a five site centred tetrahedron. Here, we present an in-depth…

Strongly Correlated Electrons · Physics 2023-07-26 Rajah P. Nutakki , Ludovic D. C. Jaubert , Lode Pollet

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

Classical spin-liquids are paramagnetic phases which feature nontrivial patterns of spin correlations within their ground-state manifold whose degeneracy scales with system size. Often they harbor fractionalized excitations, and their…

Strongly Correlated Electrons · Physics 2024-11-26 Daniel Lozano-Gómez , Yasir Iqbal , Matthias Vojta

We report the thermodynamic and muon spin relaxation ($\mu$SR) evidences for a possible gapless spin liquid in Tm$_{3}$Sb$_{3}$Zn$_{2}$O$_{14}$, with the rare-earth ions Tm$^{3+}$ forming a two-dimensional kagom\'{e} lattice. We extract the…

Strongly Correlated Electrons · Physics 2018-11-09 Zhaofeng Ding , Yanxing Yang , Jian Zhang , Cheng Tan , Zihao Zhu , Gang Chen , Lei Shu

Na$_4$Ir$_3$O$_8$ provides a material platform to study three-dimensional quantum spin liquids in the geometrically frustrated hyperkagome lattice of Ir$^{4+}$ ions. In this work, we consider quantum spin liquids on hyperkagome lattice for…

Strongly Correlated Electrons · Physics 2017-02-03 Biao Huang , Yong Baek Kim , Yuan-Ming Lu

We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings. The investigated quantum spin system exhibits at zero temperature fractional plateaux at…

Statistical Mechanics · Physics 2014-10-21 T. Verkholyak , J. Strecka

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin $S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional…

A number of experiments on the hyperkagome iridate, Na$_4$Ir$_3$O$_8$, suggest existence of a gapless quantum spin liquid state at low temperature. Circumventing the slave particle approach commonly used in theoretical analyses of…

Strongly Correlated Electrons · Physics 2016-12-07 Yuan Wan , Yong Baek Kim

We study classical $J_1$-$J_2$ models with distinct spin degrees of freedom on a honeycomb lattice. For the XY and Heisenberg spins, the system develops a spiral spin liquid (SSL) that is a thermal cooperative paramagnetic regime with spins…

Strongly Correlated Electrons · Physics 2022-02-17 Chun-Jiong Huang , Jian Qiao Liu , Gang Chen

We extend previous inelastic neutron scattering results on the geometrically frustrated antiferromagnet hexagonal-YMnO$_3$, which has been suggested to belong to the class of classical spin liquids. We extend the energy transfer coverage of…

Using Schwinger-boson mean-field theory, we calculate the dynamic spin structure factor at low temperatures $0<T\ll J$ for the spin-$1/2$ antiferromagnetic Heisenberg kagome model, within the gapped $\mathbb{Z}_2$ spin liquid phase Ansatz.…

Strongly Correlated Electrons · Physics 2019-05-01 Jad C. Halimeh , Rajiv R. P. Singh

We analyze a classical Heisenberg spin model on the simple cubic lattice which is invariant under time reversal and contains multiple chiral spin interactions. The modelled dynamics is appropriate either for local moments coupled to…

Strongly Correlated Electrons · Physics 2026-01-01 Ryan Mays , Predrag Nikolić

We study a class of disordered continuous classical spin systems including the kagome Heisenberg magnet. While each term in its local Hamiltonian can be independently minimised, we find {\it discrete} degenerate ground states whose number…

Strongly Correlated Electrons · Physics 2017-12-13 Thomas Bilitewski , Mike E. Zhitomirsky , Roderich Moessner

We theoretically study low-temperature properties of the antiferromagnetic Heisenberg model with half-integer spin $S$ on the Kagome lattice with large trimerization. We have derived a low-energy effective model for general $S$ in terms of…

Strongly Correlated Electrons · Physics 2021-06-09 Ichiro Tanaka , Hirokazu Tsunetsugu

Motivated by recent experiments on Cs$_2$Cu$_3$SnF$_{12}$ and YCu$_{3}$(OH)$_{6}$Cl$_{3}$, we consider the ${S=1/2}$ Heisenberg model on the kagome lattice with nearest-neighbor super-exchange $J$ and (out-of-plane) Dzyaloshinskii-Moriya…

Strongly Correlated Electrons · Physics 2023-06-13 Francesco Ferrari , Sen Niu , Juraj Hasik , Yasir Iqbal , Didier Poilblanc , Federico Becca

The work of this thesis concerns the problem of linear low energy excitations of vector spin glass models. An analytical and numerical study is carried out, considering a fully connected random-field Heisenberg model at zero temperature, a…

Disordered Systems and Neural Networks · Physics 2023-06-16 Flavio Nicoletti