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We describe why Ising spin chains with competing interactions in $\rm SrHo_2O_4$ segregate into ordered and disordered ensembles at low temperatures ($T$). Using elastic neutron scattering, magnetization, and specific heat measurements, the…

Strongly Correlated Electrons · Physics 2015-02-27 J. -J. Wen , W. Tian , V. O. Garlea , S. M. Koohpayeh , T. M. McQueen , H. -F. Li , J. -Q. Yan , J. A. Rodriguez-Rivera , D. Vaknin , C. L. Broholm

The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a…

Disordered Systems and Neural Networks · Physics 2021-04-21 L. Münster , C. Norrenbrock , A. P. Young , A. K. Hartmann

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…

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

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

In condensed matter systems, the formation of long range order (LRO) with broken symmetry is often accompanied by new types of excitations. However, in many magnetic pyrochlore oxides, geometrical frustration suppresses conventional LRO…

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

Disordered Systems and Neural Networks · Physics 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

The physics of the spin glass (SG) state, with magnetic moments (spins) frozen in random orientations, is one of the most intriguing problems in condensed matter physics. While most theoretical studies have focused on the Edwards-Anderson…

Disordered Systems and Neural Networks · Physics 2009-09-02 Ka-Ming Tam , Michel J. P. Gingras

We study spin chirality for a spin-1/2 zigzag XY chain at low temperature by applying a low-temperature density-matrix renormalization group technique. We calculate temperature dependence of dynamical and static correlations of the…

Strongly Correlated Electrons · Physics 2010-08-27 Takanori Sugimoto , Shigetoshi Sota , Takami Tohyama

In a previous paper [Phys. Rev. E 90, 022506 (2014)], we had studied thermodynamic and structural properties of a three-dimensional simple-cubic lattice model with dipolar-like interaction, truncated at nearest-neighbor separation, for…

Statistical Mechanics · Physics 2016-06-07 Hassan Chamati , Silvano Romano

The magnetic pyrochlore oxide materials of general chemical formula R2Ti2O7 and R2Sn2O7 (R = rare earth) display a host of interesting physical behaviours depending on the flavour of rare earth ion. These properties depend on the value of…

Statistical Mechanics · Physics 2015-06-24 Adrian G. Del Maestro , Michel J. P. Gingras

The thermodynamic properties of dipolar spin ice on square, honeycomb and shakti lattices in the long-range and short-range dipole interaction models are studied. Exact solutions for the density of states, temperature dependencies of heat…

Computational Physics · Physics 2017-04-06 Yuriy Shevchenko , Aleksandr Makarov , Konstantin Nefedev

We report vibrating coil magnetometry of the spin ice system Ho2Ti2O7 down to ~0.04 K for magnetic fields up to 5 T applied parallel to the [111] axis. History dependent behavior emerges below T*_0 ~ 0.6 K near zero magnetic field, in…

Strongly Correlated Electrons · Physics 2012-06-25 C. Krey , S. Legl , S. R. Dunsiger , M. Meven , J. S. Gardner , J. M. Roper , C. Pfleiderer

We study Ising systems of spins with dipolar interactions. We find a simple approximate relation for the interaction energy between pairs of parallel lattice columns of spins running along the Ising spin direction. This relation provides…

Statistical Mechanics · Physics 2009-10-31 J. F. Fernandez , J. J. Alonso

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

Materials Science · Physics 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

We have studied the field-dependent ac magnetic susceptibility of single crystals of Dy2Ti2O7 spin ice along the [111] direction in the temperature range 1.8 K - 7 K. Our data reflect the onset of local spin ice order in the appearance of…

Strongly Correlated Electrons · Physics 2015-06-12 M. J. Matthews , C. Castelnovo , R. Moessner , S. A. Grigera , D. Prabhakaran , P. Schiffer

We have investigated the kagom\'{e} ice state in the frustrated pyrochlore oxide Dy_{2}Ti_{2}O_{7} under magnetic field along a [111] axis. Spin correlations have been measured by neutron scattering and analyzed by Monte-Carlo simulation.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Y. Tabata , H. Kadowaki , K. Matsuhira , Z. Hiroi , N. Aso , E. Ressouche , B. Fak

Motivated by recent developments in magnetic materials, frustrated nanoarrays and cold atomic systems, we investigate the behaviour of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza…

Strongly Correlated Electrons · Physics 2015-05-18 Mykola Maksymenko , V. Ravi Chandra , Roderich Moessner

We find that the true ground state of the dipolar spin ice system under [110]-magnetic fields is the ``Q=X'' structure, which is consistent with both experiments and Monte Carlo simulations. We then perform a Monte Carlo simulation to…

Statistical Mechanics · Physics 2009-11-10 Shun-ichi Yoshida , Koji Nemoto , Koh Wada

We present a first-principles investigation of the spin-ice state in Dy$_2$Ti$_2$O$_7$ using a magnetic source-free exchange and correlation functional, implemented in the Castep electronic-structure code. By comparing results from the…

Materials Science · Physics 2023-02-20 Z. Hawkhead , N. Gidopoulos , S. J. Blundell , S. J. Clark , T. Lancaster