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We introduce a novel geometrically frustrated classical Ising model, dubbed the "spin vorticity model", whose ground state manifold is a novel classical spin liquid, a "2-form Coulomb phase". We study the thermodynamics of this model both…

Strongly Correlated Electrons · Physics 2025-03-17 Kristian Tyn Kai Chung , Michel J. P. Gingras

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

The glass phase and its quantum analog are prominent challenges of current non-equilibrium statistical mechanics and condensed matter physics. As a model system to study the transition from classical to quantum glassy dynamics, we propose a…

Quantum Physics · Physics 2015-11-23 Marco Mattioli , Alexander W. Glaetzle , Wolfgang Lechner

Rydberg atom arrays have recently been conjectured to host $Z_2$ quantum spin liquids (QSLs) in certain parameter regimes. Due to the strong interactions between these atoms, it is not possible to analytically study these systems, and one…

Strongly Correlated Electrons · Physics 2025-03-18 Pranay Patil , Owen Benton

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

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

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

$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

The absence of conventional magnetic order together with anomalous low-temperature magnetic heat capacity is often interpreted as evidence for quantum spin liquid ground states in frustrated magnets. Using a recently developed semiclassical…

Strongly Correlated Electrons · Physics 2026-04-08 Soumyaranjan Dash , Vansh Narang , Sanjeev Kumar

We study an exactly solvable spin-orbital model that can be regarded as a classical analogue of the celebrated Kitaev honeycomb model and describes interactions between Rydberg atoms on the ruby lattice. We leverage its local and nonlocal…

Strongly Correlated Electrons · Physics 2025-05-09 Weslei B. Fontana , Fabrizio G. Oliviero , Rodrigo G. Pereira , Willian M. H. Natori

We numerically study the Heisenberg models on triangular lattices by extending it from the simplest equilateral lattice with only the nearest-neighbor exchange interaction. We show that, by including an additional weak next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2021-07-26 Ryui Kaneko , Satoshi Morita , Masatoshi Imada

We numerically study a nondisordered lattice spin system with a first order liquid-crystal transition, as a model for supercooled liquids and glasses. Below the melting temperature the system can be kept in the metastable liquid phase, and…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas S. Grigera

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

We present microscopic magnetic properties of a two dimensional triangular lattice Sc2Ga2CuO7, consisting of single and double triangular Cu planes. A Curie-Weiss temperature theta_CW = --44 K and an antiferromagnetic (AFM) exchange…

Strongly Correlated Electrons · Physics 2017-12-06 P. Khuntia , R. Kumar , A. V. Mahajan , M. Baenitz , Y. Furukawa

Continuous control over lattice geometry, when combined with long-range interactions, offers a powerful yet underexplored tool to generate highly frustrated quantum spin systems. By considering long-range dipolar antiferromagnetic…

Quantum Gases · Physics 2026-04-16 Francisco Machado , Sabrina Chern , Michael P. Zaletel , Norman Y. Yao

Magnetic susceptibility and muon spin relaxation (muSR) experiments have been carried out on the quasi-2D triangular-lattice spin S = 2 antiferromagnet FeGa2S4. The muSR data indicate a sharp onset of a frozen or nearly-frozen spin state at…

Strongly Correlated Electrons · Physics 2015-06-11 Songrui Zhao , P. Dalmas de R/'eotier , A. Yaouanc , D. E. MacLaughlin , J. M. Mackie , O. O. Bernal , Y. Nambu , T. Higo , S. Nakatsuji

PbCuTe2O6 is a rare example of a spin liquid candidate featuring a three dimensional magnetic lattice. Strong geometric frustration arises from the dominant antiferromagnetic interaction which generates a hyperkagome network of Cu2+ ions…

Strongly Correlated Electrons · Physics 2016-03-14 P. Khuntia , F. Bert , P. Mendels , B. Koteswararao , A. V. Mahajan , M. Baenitz , F. C. Chou , C. Baines , A. Amato , Y. Furukawa

We report that a possible Z2 quantum spin liquid (QSL) can be observed in a new class of frustrated system: spinor bosons subject to a pi flux in a square lattice. We construct a new class of Ginsburg-Landau (GL) type of effective action to…

Strongly Correlated Electrons · Physics 2020-05-12 Fadi Sun , Jinwu Ye

Quantum spin liquids are highly entangled ground states of quantum systems with emergent gauge structure, fractionalized spinon excitations, and other unusual properties. While these features clearly distinguish quantum spin liquids from…

Strongly Correlated Electrons · Physics 2013-06-18 Lucile Savary , Leon Balents

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao