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Recent excitement in the quantum spin ice community has come from the experimental discovery of pseudospin-$1/2$ breathing pyrochlores, including Ba$_3$Yb$_2$Zn$_5$O$_{11}$, in which inversion symmetry is broken by the `up' and `down'…

Strongly Correlated Electrons · Physics 2024-05-14 Alaric Sanders , Claudio Castelnovo

We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice.…

Strongly Correlated Electrons · Physics 2009-11-07 S. E. Palmer , J. T. Chalker

We show that the highly frustrated transverse-field Ising model on the three-dimensional pyrochlore lattice realizes a first-order phase transition without symmetry breaking between the low-field Coulomb quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2016-11-23 J. Roechner , L. Balents , K. P. Schmidt

We present an experimental study of the quantum spin ice candidate pyrochlore coumpound \przr\ by means of magnetization measurements, specific heat and neutron scattering up to 12 T and down to 60 mK. When the field is applied along the…

We investigate the zero- and finite-temperature properties of the bond-random $s=1/2$ Heisenberg antiferromagnet on the pyrochlore lattice by the exact diagonalization and the Hams--de Raedt methods. We find that the randomness induces the…

Strongly Correlated Electrons · Physics 2019-08-28 Kazuki Uematsu , Hikaru Kawamura

The XY pyrochlore Yb$_2$Ti$_2$O$_7$, with pseudo spin 1/2 at the Yb$^{3+}$ site, has been celebrated as potential host for the quantum spin ice state. The substitution of non-magnetic Ti with Pt gives Yb$_2$Pt$_2$O$_7$, a system with…

Strongly Correlated Electrons · Physics 2018-10-03 S. K. Takahashi , A. Arsenault , C. Mauws , A. M. Hallas , C. Sarkis , K. A. Ross , C. R. Wiebe , M. Tachibana , G. M. Luke , T. Imai

Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

Strongly Correlated Electrons · Physics 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

The search for two dimensional quantum spin liquids, exotic magnetic states with an entangled ground state remaining disordered down to zero temperature, has been a great challenge in frustrated magnetism during the last decades. Recently,…

Strongly Correlated Electrons · Physics 2018-10-15 E. Lhotel , S. Petit , M. Ciomaga Hatnean , J. Ollivier , H. Mutka , E. Ressouche , M. R. Lees , G. Balakrishnan

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

The search for quantum spin liquids (QSL) -- topological magnets with fractionalized excitations -- has been a central theme in condensed matter and materials physics. While theories are no longer in short supply, tracking down materials…

Strongly Correlated Electrons · Physics 2022-05-11 Anish Bhardwaj , Shu Zhang , Han Yan , Roderich Moessner , Andriy H. Nevidomskyy , Hitesh J. Changlani

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hermele , Matthew P. A. Fisher , Leon Balents

We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

Quantum spin liquids (QSL) have generated considerable excitement as phases of matter with emergent gauge structures and fractionalized excitations. In this context, phase transitions out of QSLs have been widely discussed as Higgs…

Strongly Correlated Electrons · Physics 2021-09-15 Hyeok-Jun Yang , Nic Shannon , SungBin Lee

The search for new quantum phases, especially in frustrated magnets, is central to modern condensed matter physics. One of the most promising places to look is in rare-earth pyrochlore magnets with highly-anisotropic exchange interactions,…

Strongly Correlated Electrons · Physics 2017-03-29 Han Yan , Owen Benton , Ludovic D. C. Jaubert , Nic Shannon

The geometrically frustrated 3D pyrochlore lattice has been long predicted to host a quantum spin liquid, an intrinsic long-range entangled state with fractionalized excitations. To date, most proposals for pyrochlore materials have focused…

Strongly Correlated Electrons · Physics 2026-03-11 Chunxiao Liu , Gábor B. Halász , Leon Balents

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

Strongly Correlated Electrons · Physics 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

Actively shought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at extremely low temperatures. Despite ongoing searches, QSLs remain…

Strongly Correlated Electrons · Physics 2015-07-22 Juan Carrasquilla , Zhihao Hao , Roger G. Melko

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

Quantum spin ice materials, pyrochlore magnets with competing Ising and transverse exchange interactions, have been widely discussed as candidates for a quantum spin-liquid ground state. Here, motivated by quantum chemical calculations for…

Strongly Correlated Electrons · Physics 2018-08-15 Owen Benton , L. D. C. Jaubert , Rajiv Singh , Jaan Oitmaa , Nic Shannon

We study the S>1 nearest-neighbor Heisenberg model with a ferromagnetic interaction J and a large non-collinear <111> easy-axis anisotropy D on a pyrochlore lattice. For a finite D>>|J|, the low-energy physics is described by a < 111 >…

Statistical Mechanics · Physics 2010-10-29 Yang-Zhi Chou , Ying-Jer Kao