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The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

We use numerical linked cluster (NLC) expansions to compute the specific heat, C(T), and entropy, S(T), of a quantum spin ice model of Yb2Ti2O7 using anisotropic exchange interactions recently determined from inelastic neutron scattering…

Strongly Correlated Electrons · Physics 2012-10-11 R. Applegate , N. R. Hayre , R. R. P. Singh , T. Lin , A. G. R. Day , M. J. P. Gingras

In the quest to realize a quantum spin liquid (QSL), magnetic long-range order is hardly welcome. Yet it can offer deep insights into a complex world of strong correlations and fluctuations. Much hope was placed in the cubic pyrochlore…

We present new magnetic heat capacity and neutron scattering results for two magnetically frustrated molybdate pyrochlores: $S=1$ oxide Lu$_2$Mo$_2$O$_7$ and $S={\frac{1}{2}}$ oxynitride Lu$_2$Mo$_2$O$_5$N$_2$. Lu$_2$Mo$_2$O$_7$ undergoes a…

Strongly Correlated Electrons · Physics 2015-06-19 L. Clark , G. J. Nilsen , E. Kermarrec , G. Ehlers , K. S. Knight , A. Harrison , J. P. Attfield , B. D. Gaulin

We report on diffuse neutron scattering experiments providing evidence for the presence of random strains in the quantum spin ice candidate Pr2Zr2O7. Since Pr is a non-Kramers ion, the strain deeply modifies the picture of Ising magnetic…

Strongly Correlated Electrons · Physics 2017-08-08 N. Martin , P. Bonville , E. Lhotel , S. Guitteny , A. Wildes , C. Decorse , M. Ciomaga Hatnean , G. Balakrishnan , I. Mirebeau , S. Petit

We present a comprehensive experimental and theoretical study of the pyrochlore Tb$_2$Ge$_2$O$_7$, an exemplary realization of a material whose properties are dominated by competition between magnetic dipolar and electric quadrupolar…

The spin ice system Dy$_{2}$Ti$_{2}$O$_{7}$ exhibits strong frequency-dependent spin-freezing at $\sim$ 16 K temperature. Although it has been a matter of discussion for years, the origin of this unusual spin freezing is still unknown. The…

Strongly Correlated Electrons · Physics 2022-04-06 Sheetal , C. S. Yadav

We argue that the low-temperature physics of $S=1$ pyrochlore magnets with a predominantly Ising-like easy-axis exchange coupling $J$ that favors the local tetrahedral body diagonals, and a comparably large easy-plane single-ion anisotropy…

Strongly Correlated Electrons · Physics 2025-12-15 Jay Pandey , Kedar Damle

Neutron scattering has been used to study the magnetic order and spin dynamics of the colossal magnetoresistive pyrochlore Tl_2Mn_2O_7. On cooling from the paramagnetic state, magnetic correlations develop and appear to diverge at T_C (123…

Strongly Correlated Electrons · Physics 2009-10-31 J. W. Lynn , L. Vasiliu-Doloc , M. A. Subramanian

The rich phase diagrams of magnetically frustrated pyrochlores have maintained a high level of interest over the past 20 years. To experimentally explore these phase diagrams requires a means of tuning the relevant interactions. One…

Strongly Correlated Electrons · Physics 2015-03-24 A. M. Hallas , A. M. Arevalo-Lopez , A. Z. Sharma , T. Munsie , J. P. Attfield , C. R. Wiebe , G. M. Luke

We consider the quantum spin ice models in the planar pyrochlore lattice. The models are obtained by perturbing the Ising model with different lattice symmetry preserving quantum fluctuations. We map these models to a compact U(1) lattice…

Strongly Correlated Electrons · Physics 2023-06-06 Zijian Xiong

We study the finite temperature properties of the candidate quantum spin ice material Yb$_2$Ti$_2$O$_7$ within the framework of an anisotropic nearest-neighbor spin $1/2$ model on the pyrochlore lattice. Using a combination of finite…

Strongly Correlated Electrons · Physics 2018-05-21 Hitesh J. Changlani

The face-centered-cubic lattice is composed of edge-sharing tetrahedra, making it a leading candidate host for strongly frustrated magnetism, but relatively few face-centered frustrated materials have been investigated. In the hydroxide…

Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss…

Disordered Systems and Neural Networks · Physics 2009-10-31 Byron C. den Hertog , Michel J. P. Gingras

Magnetic ordering at low temperature for Ising ferromagnets manifests itself within the associated Fortuin-Kasteleyn (FK) random cluster representation as the occurrence of a single positive density percolating network. In this paper we…

Statistical Mechanics · Physics 2009-11-13 J. Machta , C. M. Newman , D. L. Stein

Er2Ti2O7 is believed to be a realization of an XY antiferromagnet on a frustrated lattice of corner-sharing regular tetrahedra. It is presented as an example of the order-by-disorder mechanism in which fluctuations lift the degeneracy of…

Strongly Correlated Electrons · Physics 2012-09-28 P. Dalmas de Reotier , A. Yaouanc , Y. Chapuis , S. H. Curnoe , B. Grenier , E. Ressouche , C. Marin , J. Lago , C. Baines , S. R. Giblin

Spin-orbit coupling in Bose gases is known to lead to an Ising-symmetry-broken phase where the bosons condense at one of two nonzero momenta. In two dimensions, the finite momentum of the order parameter allows vortex-antivortex pairs that…

Quantum Gases · Physics 2026-03-18 Stuart Yi-Thomas , David M. Long , Jay D. Sau

The nature of the superconducting state in two-dimensional transition-metal dichalcogenides remains under active debate. A widely used description invokes so-called Ising superconductivity. In this work, we investigate theoretically this…

Superconductivity · Physics 2026-05-14 Michael Hein , Juan Carlos Cuevas , Wolfgang Belzig

Rare-earth pyrochlores are known to exhibit exotic magnetic phenomena. We report a study of crystal growth and characterizations of a new rare-earth compound Er$_2$AlSbO$_7$, in which Al$^{3+}$ and Sb$^{5+}$ ions share the same positions…

The "spin ice" state found in the rare earth pyrochlore magnets Ho2Ti2O7 and Dy2Ti2O7 offers a beautiful realisation of classical magnetostatics, complete with magnetic monopole excitations. It has been suggested that in "quantum spin ice"…

Strongly Correlated Electrons · Physics 2015-06-04 Owen Benton , Olga Sikora , Nic Shannon