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Spin crossover materials contain metal ions that can access two spin-states: one low-spin (LS), the other high-spin (HS). We propose that frustrated elastic interactions can give rise to spin-state ices -- phases of matter without…

Strongly Correlated Electrons · Physics 2020-06-09 Jace Cruddas , B. J. Powell

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

Spin ice is a frustrated magnetic system that at low temperatures exhibits a Coulomb phase, a classical spin liquid with topological order and deconfined excitations. This work establishes the presence of a Coulomb phase with coexisting…

Statistical Mechanics · Physics 2015-03-30 Stephen Powell

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

At low temperatures, a spin ice enters a Coulomb phase - a state with algebraic correlations and topologically constrained spin configurations. In Ho2Ti2O7, we have observed experimentally that this process is accompanied by a non-standard…

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

We study the origin of the cooperative nature of spin crossover (SC) between low spin (LS) and high spin (HS) states from the view point of elastic interactions among molecules. As the size of each molecule changes depending on its spin…

Strongly Correlated Electrons · Physics 2009-11-13 Masamichi Nishino , Kamel Boukheddaden , Yusuké Konishi , Seiji Miyashita

Spin ice materials are magnetic substances in which the spin directions map onto hydrogen positions in water ice. Recently this analogy has been elevated to an electromagnetic equivalence, indicating that the spin ice state is a Coulomb…

The emergent gauge field characteristic of the Coulomb phase of spin ice betrays its existence via pinch points in the spin structure factor ${\cal{S}}$ in reciprocal space which takes the form of a transverse projector ${\cal{P}}$ at low…

Strongly Correlated Electrons · Physics 2015-06-12 Arnab Sen , R. Moessner , S. L. Sondhi

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

We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas…

Strongly Correlated Electrons · Physics 2026-03-18 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

A class of three dimensional classical lattice systems with macroscopic ground state degeneracies, most famously the spin ice system, are known to exhibit "Coulomb" phases wherein long wavelength correlations within the ground state…

Statistical Mechanics · Physics 2012-11-16 V. Khemani , R. Moessner , S. A. Parameswaran , S. L. Sondhi

We demonstrate the existence of orbital Coulomb phase as the exact ground state of p-orbital exchange Hamiltonian on the diamond lattice. The Coulomb phase is an emergent state characterized by algebraic dipolar correlations and a gauge…

Strongly Correlated Electrons · Physics 2012-05-21 Gia-Wei Chern , Congjun Wu

We investigate the transport properties of itinerant electrons interacting with a background of localized spins in a correlated paramagnetic phase of the pyrochlore lattice. We find a residual resistivity at zero temperature due to the…

Strongly Correlated Electrons · Physics 2013-04-04 Gia-Wei Chern , Saurabh Maiti , Rafael M. Fernandes , Peter Wölfle

We investigate the temperature dependence of the spin dynamics in the pyrochlore magnet Nd$_2$Zr$_2$O$_7$ by neutron scattering experiments. At low temperature, this material undergoes a transition towards an "all in - all out"…

Strongly Correlated Electrons · Physics 2021-07-22 M. Léger , E. Lhotel , M. Ciomaga Hatnean , J. Ollivier , A. R. Wildes , S. Raymond , E. Ressouche , G. Balakrishnan , S. Petit

We study the low-temperature behaviour of spin ice when uniaxial pressure induces a tetragonal distortion. There is a phase transition between a Coulomb liquid and a fully magnetised phase. Unusually, it combines features of discontinuous…

Statistical Mechanics · Physics 2010-09-07 Ludovic D. C. Jaubert , J. T. Chalker , Peter C. W. Holdsworth , R. Moessner

We use Monte Carlo simulations to identify the mechanism that allows for phase transitions in dipolar spin ice to occur and survive for applied magnetic field, H, much larger in strength than that of the spin-spin interactions. In the most…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jacob P. C. Ruff , Roger G. Melko , Michel J. P. Gingras

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

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

Strongly Correlated Electrons · Physics 2014-05-28 B. Normand , Z. Nussinov

We develop a self-contained theoretical framework that classifies the topological phases and critical phenomena of classical pyrochlore magnets with arbitrary spin $S$, subject to competing exchange and single-ion anisotropies. In the…

Strongly Correlated Electrons · Physics 2026-04-07 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe
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