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We consider a classical model of charges $\pm q$ on a pyrochlore lattice in the presence of long range Coulomb interactions. This model first appeared in the early literature on charge order in magnetite. In the limit where the interactions…

Strongly Correlated Electrons · Physics 2015-06-17 Paul McClarty , Aroon O'Brien , Frank Pollmann

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

We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range…

Statistical Mechanics · Physics 2023-08-24 Etienne Granet

The spin ice materials Ho$_{2}$Ti$_{2}$O$_{7}$ and Dy$_{2}$Ti$_{2}$O$_{7}$ are by now perhaps the best-studied classical frustrated magnets. A crucial step towards the understanding of their low temperature behaviour -- both regarding their…

Strongly Correlated Electrons · Physics 2019-08-14 Bruno Tomasello , Claudio Castelnovo , Roderich Moessner , Jorge Quintanilla

We study finite temperature properties of a generic spin-orbital model relevant to transition metal compounds, having coupled quantum Heisenberg-spin and Ising-orbital degrees of freedom. The model system undergoes a phase transition,…

Strongly Correlated Electrons · Physics 2009-11-20 C. -C. Chen , B. Moritz , J. van den Brink , T. P. Devereaux , R. R. P. Singh

The search for problems where quantum adiabatic optimization might excel over classical optimization techniques has sparked a recent interest in inducing a finite-temperature spin-glass transition in quasi-planar topologies. We have…

Disordered Systems and Neural Networks · Physics 2018-05-28 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

We employ spin-dependent optical dipole forces to characterize the transverse center-of-mass (COM) motional mode of a two-dimensional Wigner crystal of hundreds of $^9$Be$^+$. By comparing the measured spin dephasing produced by the…

Quantum Physics · Physics 2014-03-19 Brian C. Sawyer , Joseph W. Britton , John J. Bollinger

The spin dynamics in the geometrically frustrated pyrochlore antiferromagnet $\rm Gd_2Sn_2O_7$ is studied by means of the electron spin resonance. In the ordered phase ($T_N = 1$ K), we have detected three gapped resonance modes. Their…

Strongly Correlated Electrons · Physics 2013-05-29 S. S. Sosin , L. A. Prozorova , P. Bonville , M. E. Zhitomirsky

Ultra-cold alkali atoms trapped in two distinct hyperfine states in an external magnetic field can mimic magnetic systems of spin 1/2 particles. We describe the spin-dependent effective interaction as a spin-spin interaction. As a…

Statistical Mechanics · Physics 2011-11-09 D. H. Santamore , Eddy Timmermans

Dy2Ti2O7 is a geometrically frustrated magnetic material with a strongly correlated spin ice regime that extends from 1 K down to as low as 60 mK. The diffuse elastic neutron scattering intensities in the spin ice regime can be remarkably…

Statistical Mechanics · Physics 2008-08-02 Taras Yavors'kii , Tom Fennell , Michel J. P. Gingras , Steven T. Bramwell

The Kittel--Shore Hamiltonian characterizes $N$ spins with identical long-range interactions, and the $\mathfrak{su}(2)$ coalgebra has been proven to be a symmetry of this model, which can be exactly solved. By using quantum groups and, in…

Statistical Mechanics · Physics 2025-12-18 V. Mariscal , J. J. Relancio

An extended atomistic spin model allowing for studies of the finite temperature magnetic properties of alloys is proposed. The model is obtained by extending the Heisenberg Hamiltonian via a parameterization from a first principles basis,…

Computational Physics · Physics 2017-06-07 Fan Pan , Jonathan Chico , Anna Delin , Anders Bergman , Lars Bergqvist

Geometrical frustration and spin-orbit coupling effect together play vital role to influence properties in pyrochlore based iridium oxides. Here we have investigated detailed structural, magnetic, thermodynamic and transport properties of…

Strongly Correlated Electrons · Physics 2017-02-06 Harish Kumar , A. K. Pramanik

Recently, significant interest has emerged in fabricated systems that mimic the behavior of geometrically-frustrated materials. We present the full realization of such an artificial spin ice system on a two-dimensional kagome lattice and…

Materials Science · Physics 2009-11-13 Yi Qi , T. Brintlinger , John Cumings

We present Monte Carlo simulation results for a two-dimensional Ising model with ferromagnetic nearest-neighbor couplings and a competing long-range dipolar interaction on a honeycomb lattice. Both structural and thermodynamic properties…

Statistical Mechanics · Physics 2012-07-26 Robert Rüger , Roser Valentí

Dipolar-octupolar (DO) pyrochlore systems Ce$_2$(Zr,Sn,Hf)$_2$O$_7$ have garnered much attention as recent investigations suggest that they may stabilize a novel quantum spin ice (QSI), a quantum spin liquid (QSL) with an emergent $U(1)$…

Strongly Correlated Electrons · Physics 2025-12-10 Zhengbang Zhou , Félix Desrochers , Yong Baek Kim

Here we calculate the dynamic susceptibility and dynamic correlation function in spin ice using the model of emergent magnetic monopoles. Calculations are based on a method originally suggested for the description of dynamic processes in…

Strongly Correlated Electrons · Physics 2015-06-16 M. I. Ryzhkin , I. A. Ryzhkin , S. T. Bramwell

We use a quantum Monte Carlo method to investigate various classes of 2D spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U(1) symmetry that appears as a hard-core boson limit of…

Quantum Gases · Physics 2016-11-11 Michal Maik , Philipp Hauke , Omjyoti Dutta , Jakub Zakrzewski , Maciej Lewenstein

We have investigated the low-temperature thermodynamic properties of the dipolar kagome Ising antiferromagnet using at-equilibrium Monte Carlo simulations, in the quest for the ground-state manifold. In spite of the limitations of a single…

Disordered Systems and Neural Networks · Physics 2016-06-29 I. A. Chioar , N. Rougemaille , B. Canals

Following Fr\"ohlich and Spencer, we study one dimensional Ising spin systems with ferromagnetic, long range interactions which decay as $|x-y|^{-2+\alpha}$, $0\leq \alpha\leq 1/2$. We introduce a geometric description of the spin…

Mathematical Physics · Physics 2011-11-09 M. Cassandro , P. A. Ferrari , I. Merola , E. Presutti