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In antiferromagnets, the interplay of spin frustration and spin-lattice coupling has been extensively studied as the source of complex spin patterns and exotic magnetism. Here, we demonstrate that, although neglected in the past, the…

By theoretically calculating the interacting spin susceptibility of a two-dimensional electron system in the presence of finite spin polarization, we show that the extensively employed technique of measuring the 2D spin susceptibility by…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We study the semiclassical limit of the $Sp(N)$ generalization of the pyrochlore lattice Heisenberg antiferromagnet by expanding about the $N \to \infty$ saddlepoint in powers of a generalized inverse spin. To leading order, we write down…

Strongly Correlated Electrons · Physics 2007-05-23 U. Hizi , Prashant Sharma , C. L. Henley

In this note we overview recent convergence results for correlations in the critical planar nearest-neighbor Ising model. We start with a short discussion of the combinatorics of the model and a definition of fermionic and spinor…

Mathematical Physics · Physics 2017-11-21 Dmitry Chelkak

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We report measurements performed on a polycrystalline sample of the pyrochlore compound Nd2Sn2O7. It undergoes a second order magnetic phase transition at Tc ~ 0.91 K to a noncoplanar all-in-all-out magnetic structure of the Nd3+ magnetic…

Strongly Correlated Electrons · Physics 2015-11-04 A. Bertin , P. Dalmas de Reotier , B. Fak , C. Marin , A. Yaouanc , A. Forget , D. Sheptyakov , B. Frick , C. Ritter , A. Amato , C. Baines , P. J. C. King

We describe degenerate square spin as an ensemble of magnetic monopoles coupled via an emergent entropic field that subsumes the effect of the underlying spin vacuum. We compute their effective free energy, entropic interaction,…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Cristiano Nisoli

Neutron spectroscopy measurements reveal dynamic spin correlations throughout the Brillouin zone in the colossal magnetoresistive material La0.7Ca0.3MnO3 at 265 K (approximately 1.03 Tc). The long-wavelength behavior is consistent with spin…

Strongly Correlated Electrons · Physics 2012-04-04 Joel S. Helton , Matthew B. Stone , Dmitry A. Shulyatev , Yakov M. Mukovskii , Jeffrey W. Lynn

The standard approach to realize a spin liquid state is through magnetically frustrated states, relying on ingredients such as the lattice geometry, dimensionality, and magnetic interaction type of the spins. While Heisenberg spins on a…

Strongly Correlated Electrons · Physics 2025-04-10 Margarita G. Dronova , Vaclav Petricek , Zachary Morgan , Feng Ye , Daniel M. Silevitch , Yejun Feng

We study Ising pyrochlores by means of Monte Carlo simulations. We cover a set of exchange constants ranging from the frustrated ferromagnetic case (spin-ice) to the fully-ordered "all-in--all-out" antiferromagnet in the dipolar model,…

Statistical Mechanics · Physics 2014-11-26 Pamela C. Guruciaga , Santiago A. Grigera , Rodolfo A. Borzi

We realize a three-dimensional artificial spin ice of disconnected nanomagnets interacting solely via dipolar coupling, patterned on square pyramids. This Pyramid artificial spin ice, with both tilted and in-plane nanomagnets, supports…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Luca Berchialla , Gavin M. Macauley , Flavien Museur , Anja Weber , Laura J. Heyderman

The commensurate and incommensurate magnetic structures of the magnetoelectric system YMn$_{2}$O$_{5}$, as determined from neutron diffraction, were found to be spin-density waves lacking a global center of symmetry. We propose a model,…

Materials Science · Physics 2009-11-11 L. C. Chapon , P. G. Radaelli , G. R. Blake , S. Park , S-W. Cheong

The pyrochlore material $\rm Ho_{2}Ti_{2}O_{7}$ has been suggested to show ``spin ice'' behaviour. We present neutron scattering and specific heat results that establish unambiguously that Ho$_2$Ti$_2$O$_7$ exhibits spin ice correlations at…

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

We study an extended model to describe the spin-lattice coupling, incorporating individual vibrations of bonds and atomic sites alongside distance-dependent exchange interactions. The proposed spin Hamiltonian can be effectively considered…

Strongly Correlated Electrons · Physics 2026-03-10 Masaki Gen , Hidemaro Suwa , Shusaku Imajo , Chao Dong , Hiroaki Ueda , Makoto Tachibana , Akihiko Ikeda , Koichi Kindo , Yoshimitsu Kohama

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong

We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, $O(N)$-symmetric interactions, for which we establish algebraically decaying upper bounds on spin-spin…

Probability · Mathematics 2014-10-22 Maxime Gagnebin , Yvan Velenik

Spin-orbit entangled magnetic dipoles, often referred to as pseudospins, provide a new avenue to explore novel magnetism inconceivable in the weak spin-orbit coupling limit, but the nature of their low-energy interactions remains to be…

We numerically compute the temperature dependence of spin structure factor and thermodynamic quantities in the antiferromagnetic quantum Ising model in the pyrochlore lattice. This model exhibits spin disorder ground state with…

Statistical Mechanics · Physics 2015-06-03 Cheng-Ju Lin , Chen-Nan Liao , Chyh-Hong Chern

We consider model of quasi-2D magnetoelectric material as XY model for spin system on a lattice with local multiferroic-like interaction of spin and electric polarization vectors. We calculate the contribution of magnetic (spin)…

Strongly Correlated Electrons · Physics 2015-06-26 P. I. Karpov , S. I. Mukhin