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We study the residual entropy of a two-dimensional Ising model with crossing and four-spin interactions, both for the case that in zero magnetic field and that in an imaginary magnetic field i({\pi}/2)kT. The spin configurations of this…

Statistical Mechanics · Physics 2023-04-13 De-Zhang Li , Yu-Jun Zhao , Yao Yao , Xiao-Bao Yang

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. V. Isakov , K. Gregor , R. Moessner , S. L. Sondhi

Problems of temperature behavior of specific heat are solved by the entropy simulation method for Ising models on a simple square lattice and a square spin ice (SSI) lattice with nearest neighbor interaction, models of hexagonal lattices…

Disordered Systems and Neural Networks · Physics 2018-01-11 Yu. A. Shevchenko , A. G. Makarov , P. D. Andriushchenko , K. V. Nefedev

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a…

"Spin Ice" is an exotic type of frustrated magnet realized in "pyrochlore" materials Ho_{2}Ti_{2}O_{7}, Dy_{2}Ti_{2}O_{7}, Ho_{2}Sn_{2}O_{7}, etc., in which magnetic atoms (spins) reside on a sublattice made of the vertices of…

Statistical Mechanics · Physics 2011-09-06 Chia-Ren Hu

A \emph{monopole liquid} is a magnetic charge-disordered spin system defined over an Ising pyrochlore lattice, with one single topological charge or \emph{monopole} in each tetrahedron. We define a simple model Hamiltonian for this system…

Statistical Mechanics · Physics 2018-05-24 D. Slobinsky , G. Baglietto , R. A. Borzi

We study an effective spin model derived perturbatively from random transverse-field Ising model on the pyrochlore lattice. The model consists of spin-configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins…

Strongly Correlated Electrons · Physics 2020-05-27 Anirudha Menon , Tom Pardini , Rajiv R. P. Singh

From a microscopic model for the pyrochlore antiferromagnet Tb2Sn2O7, including the crystal field Hamiltonian and interactions between the angular momenta, we compute an effective pseudospin-1/2 Hamiltonian Heff$ that incorporates…

Statistical Mechanics · Physics 2010-11-30 Paul A. McClarty , Pawel Stasiak , Michel J. P. Gingras

By molecular dynamics simulation, we have investigated classical Heisenberg spins, which are arrayed on a finite simple cubic lattice and interact with each other only by the dipole-dipole interaction, and have found its peculiar it…

Statistical Mechanics · Physics 2007-05-23 Katsuyoshi Matsushita , Ryoko Sugano , Akiyoshi Kuroda , Yusuke Tomita , Hajime Takayama

Water ice and spin ice are important model systems in which theory can directly account for zero point entropy associated with quenched configurational disorder. Spin ice differs from water ice in the important respect that its fundamental…

Strongly Correlated Electrons · Physics 2009-11-13 X. Ke , R. S. Freitas , B. G. Ueland , G. C. Lau , M. L. Dahlberg , R. J. Cava , R. Moessner , P. Schiffer

We report the specific heat and entropy of single crystals of the spin ice compound Dy2Ti2O7 at temperatures down to 0.35 K. We apply magnetic fields along the four characteristic directions: [100], [110], [111] and [112]. Because of Ising…

Strongly Correlated Electrons · Physics 2009-11-10 Ryuji Higashinaka , Hideto Fukazawa , Yoshiteru Maeno

The residual entropy of spin ice and other frustrated magnets is a property of considerable interest, yet the usual way of determining it, by integrating the heat capacity, is generally ambiguous. Here we note that a straightforward…

Strongly Correlated Electrons · Physics 2013-08-07 L. Bovo , S. T. Bramwell

Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature properties of the paradigmatic Dy$_2$Ti$_2$O$_7$ spin ice…

Statistical Mechanics · Physics 2016-01-19 P. Henelius , T. Lin , M. Enjalran , Z. Hao , J. G. Rau , J. Altosaar , F. Flicker , T. Yavors'kii , M. J. P. Gingras

While sources of magnetic fields - magnetic monopoles - have so far proven elusive as elementary particles, several scenarios have been proposed recently in condensed matter physics of emergent quasiparticles resembling monopoles. A…

In their recent communication (Phys. Rev. B 64, 060406(R) (2001)) Cornelius and Gardner have reported the results of magnetization and susceptibility studies on single crystals of the pyrochlore Ho2Ti2O7. The observed field dependence of…

Strongly Correlated Electrons · Physics 2009-11-07 O. A. Petrenko , M. R. Lees , G. Balakrishnan

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 low-temperature picture of dipolar spin ice in terms of the Coulomb fluid of its fractionalised magnetic monopole excitations has allowed analytic and conceptual progress far beyond its original microscopic spin description. Here we…

Strongly Correlated Electrons · Physics 2018-10-17 Vojtěch Kaiser , Jonathan Bloxsom , Laura Bovo , Steven T. Bramwell , Peter C. W. Holdsworth , Roderich Moessner

We report that the local Ising anisotropy in pyrochlore oxides - the crucial requirement for realizing the spin-ice state - can be broken by means of high magnetic fields. For the case of the well-established classical spin-ice compound…

Strongly Correlated Electrons · Physics 2019-03-27 L. Opherden , T. Herrmannsdörfer , M. Uhlarz , D. I. Gorbunov , A. Miyata , O. Portugall , I. Ishii , T. Suzuki , H. Kaneko , H. Suzuki , J. Wosnitza

We have studied spin relaxation in the spin ice compound Dy2Ti2O7 through measurements of the a.c. magnetic susceptibility. While the characteristic spin relaxation time is thermally activated at high temperatures, it becomes almost…

Materials Science · Physics 2009-11-10 J. Snyder , B. G. Ueland , J. S. Slusky , H. Karunadasa , R. J. Cava , Ari Mizel , P. Schiffer

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