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Frustrated pyrochlore lattices in transition-metal oxides provide an ideal platform for realizing exotic quantum states, including spin liquids with unconventional low-energy excitations arising from the macroscopic ground-state degeneracy…

Strongly Correlated Electrons · Physics 2026-05-26 Satish Kumar , U. Jena , A. Bandhopadhay , G. B. G. Stenning , D. T. Adroja , S. Petit , P. Khuntia

Despite tremendous investigations, a quantum spin liquid state realized in spin-1/2 kagome Heisenberg antiferromagnet remains largely elusive. In herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$, a quantum spin liquid candidate on the perfect kagome…

Strongly Correlated Electrons · Physics 2021-06-15 H. Murayama , T. Tominaga , T. Asaba , A. de Oliveira Silva , Y. Sato , H. Suzuki , Y. Ukai , S. Suetsugu , Y. Kasahara , R. Okuma , I. Kimchi , Y. Matsuda

By considering the constrained motion of classical spins in a geometrically frustrated magnet, we find a dynamical freezing temperature below which the system gets trapped in metastable states with a "frozen" moment and dynamical…

Strongly Correlated Electrons · Physics 2015-06-04 O. Cepas , B. Canals

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb ruthenate $\alpha$-RuCl$_3$, show magnetic order at low…

Strongly Correlated Electrons · Physics 2019-07-16 I. Rousochatzakis , S. Kourtis , J. Knolle , R. Moessner , N. B. Perkins

Recent experiments indicate that Na$_4$Ir$_3$O$_8$, a material in which s=1/2 iridium local moments form a three dimensional network of corner-sharing triangles, may have a quantum spin liquid ground state with gapless spin excitations.…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Lawler , Arun Paramekanti , Yong Baek Kim , Leon Balents

We rigorously examine 2d-square lattices composed of classical spins isotropically coupled between first-nearest neighbours. A general expression of the characteristic polynomial associated with the zero-field partition function Zinf{N}(0)…

Statistical Mechanics · Physics 2020-05-15 Jacques Curély

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. V. Isakov , K. Gregor , R. Moessner , S. L. Sondhi

We use a second-order rotational invariant Green's function method (RGM) and the high-temperature expansion (HTE) to calculate the thermodynamic properties, of the kagome-lattice spin-$S$ Heisenberg antiferromagnet with nearest-neighbor…

Strongly Correlated Electrons · Physics 2018-07-25 P. Müller , A. Zander , J. Richter

We study numerically the Hessian of low-lying minima of vector spin glass models defined on random regular graphs. We consider the two-component (XY) and three-component (Heisenberg) spin glasses at zero temperature, subjected to the action…

Disordered Systems and Neural Networks · Physics 2025-06-03 Silvio Franz , Cosimo Lupo , Flavio Nicoletti , Giorgio Parisi , Federico Ricci-Tersenghi

The SrCr$\_{9p}$Ga$\_{12-9p}$O$\_{19}$ and Ba$\_{2}$Sn$\_{2}$ZnGa$\_{10-7p}$Cr$\_{7p}$O$\_{22}$ compounds are two highly-frustrated magnets possessing a quasi-two-dimensional Kagom\'{e} bilayer of spin 3/2 chromium ions with…

Strongly Correlated Electrons · Physics 2007-05-23 David Bono , Laurent Limot , Philippe Mendels , Gaston Collin , Nicole Blanchard

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice. We discuss the excitation spectra as…

Strongly Correlated Electrons · Physics 2019-07-24 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Derzhko

Gapped Z_2 spin liquids have been proposed as candidates for the ground-state of the S=1/2 quantum antiferromagnet on the Kagome lattice. We extend the use of Projected Entangled Pair States to construct (on the cylinder)Resonating Valence…

Strongly Correlated Electrons · Physics 2013-05-14 Didier Poilblanc , Norbert Schuch

The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

Strongly Correlated Electrons · Physics 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada

We present the results of muon spin relaxation ($\mu$SR) and neutron scattering on the Ce-based quasikagome lattice CeRh$_{1-x}$Pd$_{x}$Sn ($x=0.1$ to 0.75). Our ZF-$\mu$SR results reveal the absence of static long-range magnetic order down…

We study quantum SU($M$) spins with all-to-all and random Heisenberg exchange interactions of root-mean-square strength $J$. The $M \rightarrow \infty$ model has a spin liquid ground state with the spinons obeying the equations of the…

Strongly Correlated Electrons · Physics 2022-02-16 Maine Christos , Felix M. Haehl , Subir Sachdev

A recently discovered material, 6H-B-Ba3NiSb2O9 was found to display unusual low-temperature phenomenology, interpreted as a quantum spin liquid with spin S = 1 on a triangular lattice. We study a spin S = 1 quantum exchange model on an AB…

Strongly Correlated Electrons · Physics 2012-08-27 Gang Chen , Michael Hermele , Leo Radzihovsky

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter

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…