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AC susceptibility measurements are presented on the dilute, dipolar coupled, Ising magnet LiHo$_x$Y$_{1-x}$F$_4$ for a concentration $x = 0.045$. The frequency and temperature dependences of the susceptibility show characteristic glassy…

Disordered Systems and Neural Networks · Physics 2011-12-01 J. A. Quilliam , S. Meng , C. G. A. Mugford , J. B. Kycia

We present specific heat data on three samples of the dilute Ising magnet $\HoYLF$ with $x = 0.018$, 0.045 and 0.080. Previous measurements of the ac susceptibility of an $x = 0.045$ sample showed the Ho$^{3+}$ moments to remain dynamic…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. A. Quilliam , C. G. A. Mugford , A. Gomez , S. W. Kycia , J. B. Kycia

We analyze recent experiments on the dilute rare-earth compound LiHo_xY_(1-x)F_4 in the context of an effective Ising dipolar model. Using a Monte Carlo method we calculate the low-temperature behavior of the specific heat and linear…

Statistical Mechanics · Physics 2008-10-27 A. Biltmo , P. Henelius

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

The nature of ordering in dilute dipolar interacting systems dates back to the work of Debye and is one of the most basic, oldest and as-of-yet unsettled problems in magnetism. While spin-glass order is readily observed in several…

Disordered Systems and Neural Networks · Physics 2014-10-30 Juan Carlos Andresen , Helmut G. Katzgraber , Vadim Oganesyan , Moshe Schechter

We study the effective long-range Ising dipole model with a local exchange interaction appropriate for the dilute magnetic compound LiHo_{x}Y_{1-x}F_4. Our calculations yield a value of 0.12 K for the nearest neighbor exchange interaction.…

Statistical Mechanics · Physics 2008-10-27 A. Biltmo , P. Henelius

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

Statistical Mechanics · Physics 2015-03-13 Juan J. Alonso

$LiHo_xY_{1-x}F_4$ is an insulating system where the magnetic Ho$^{3+}$ ions have an Ising character, and interact mainly through magnetic dipolar fields. We used the muon spin relaxation technique to study the nature of the ground state…

Strongly Correlated Electrons · Physics 2015-05-14 J. Rodriguez , A. A. Aczel , J. P. Carlo , S. R. Dunsiger , G. J. MacDougall , P. L. Russo , A. T. Savici , Y. J. Uemura , C. R. Wiebe , G. M. Luke

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles randomly…

Soft Condensed Matter · Physics 2009-11-11 Joseph Snider , Clare C. Yu

The magnetic properties of single crystals of LiHo_xY_{1-x}F_4 with x=16.5% and x=4.5% were recorded down to 35 mK using a micro-SQUID magnetometer. While this system is considered as the archetypal quantum spin glass, the detailed analysis…

Disordered Systems and Neural Networks · Physics 2007-06-23 P. E. Jönsson , R. Mathieu , W. Wernsdorfer , A. M. Tkachuk , B. Barbara

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

The rare-earth material $\mathrm{LiHoF_4}$ is believed to be an experimental realization of the celebrated (dipolar) Ising model, and upon the inclusion of a transverse field $B_x$, an archetypal quantum Ising model. Moreover, by…

Strongly Correlated Electrons · Physics 2022-05-30 Tomer Dollberg , Juan Carlos Andresen , Moshe Schechter

We present measurements of magnetic field and frequency dependences of the low temperature (T = 1.8 K) AC-susceptibility, and temperature and field dependences of the longitudinal field positive muon spin relaxation ({\mu}SR) for…

Strongly Correlated Electrons · Physics 2015-06-05 R. C. Johnson , B. Z. Malkin , J. S. Lord , S. R. Giblin , A. Amato , C. Baines , A. Lascialfari , B. Barbara , M. J. Graf

The ${\rm LiHo_xY_{1-x}F_4}$ compound is widely considered to be the archetypal dipolar Quantum Ising system, with longitudinal dipolar interactions $V_{ij}^{zz}$ between ${\rm Ho}$ spins $\{i,j \}$ competing with transverse field-induced…

Strongly Correlated Electrons · Physics 2008-08-27 M. Schechter , P. C. E. Stamp

We report the detailed analysis of specific heat [C$_{\rm P}$(T)] and ac-susceptibility for magnetically frustrated Sr$_{2-x}$La$_x$CoNbO$_6$ ($x=$ 0--1) double perovskites to understand low temperature complex magnetic interactions and…

Strongly Correlated Electrons · Physics 2020-11-30 Ajay Kumar , B. Schwarz , H. Ehrenberg , R. S. Dhaka

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

By tempered Monte Carlo simulations, we study site-diluted Ising systems of magnetic dipoles. All dipoles are randomly placed on a fraction x of all L^3 sites of a simple cubic lattice, and point along a given crystalline axis. For x_c<…

Statistical Mechanics · Physics 2010-09-01 J. J. Alonso , J. F. Fernández

Because of the negative inclination of the solid-liquid phase separation line in water, ice Ih melts on compression. On further increase in pressure the liquid water transforms into a high density metastable glassy state, characterized by a…

Soft Condensed Matter · Physics 2021-04-22 Saumyak Mukherjee , Biman Bagchi

We present the experimental phase diagram of LiHo$_x$Er$_{1-x}$F$_4$, a dilution series of dipolar-coupled model magnets.The phase diagram was determined using a combination of AC susceptibility and neutron scattering. Three unique phases…

Low temperature measurements of the ac magnetic susceptibility along the [110] direction of a single crystal of the dipolar spin ice material Ho2Ti2O7, in zero static field, are presented. While behavior that is qualitatively consistent…

Materials Science · Physics 2015-05-27 J. A. Quilliam , L. R. Yaraskavitch , H. A. Dabkowska , B. D. Gaulin , J. B. Kycia
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