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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

The properties of LiHoF$_4$ are believed to be well described by a long-range dipolar Ising model. We go beyond mean-field theory and calculate the phase diagram of the Ising model in a transverse field using a quantum Monte Carlo method.…

Strongly Correlated Electrons · Physics 2009-11-10 P. B. Chakraborty , P. Henelius , H. Kjønsberg , A. W. Sandvik , S. M. Girvin

Theoretical and experimental work have not provided a consistent picture of the phase diagram of the nearly ideal Ising ferromagnet LiHoF4 in a transverse magnetic field. Using a newly fabricated capacitive dilatometer, we have investigated…

Strongly Correlated Electrons · Physics 2015-03-17 J. L. Dunn , C. Stahl , Y. Reshitnyk , W. Sim , R. W. Hill

$\mathrm{LiHoF_{4}}$ is a magnetic material known for its Ising-type anisotropy, making it a model system for studying quantum magnetism. However, the theoretical description of $\mathrm{LiHoF_{4}}$ using the quantum Ising model has shown…

Statistical Mechanics · Physics 2024-08-07 Tomer Dollberg , Moshe Schechter

The demagnetizing factor has an important effect on the physics of ferromagnets. For cuboidal samples it depends on susceptibility and the historic problem of determining this function continues to generate theoretical and experimental…

Strongly Correlated Electrons · Physics 2020-10-22 Mikael Twengström , Laura Bovo , Oleg A. Petrenko , Steven T. Bramwell , Patrik Henelius

As a result of the interplay between the intrinsic off-diagonal terms of the dipolar interaction and an applied {\it transverse} field $H_t$, the diluted ${\rm LiHo_xY_{1-x}F_4}$ system at x$> 0.5$ is equivalent to a ferromagnet in a…

Disordered Systems and Neural Networks · Physics 2008-01-09 Moshe Schechter

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

Specific heat, magnetic torque, and magnetization studies of LiCoPO4 olivine are presented. They show that an unique set of physical properties of LiCoPO4 leads to the appearance of features characteristic of 2D Ising systems near the Neel…

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

Mesoscale patterns as observed, e.g., in ferromagnets, ferroelectrics, superconductors, mono-molecular films, or block-copolymers, reflect spatial variations of a pertinent order parameter at length- and time-scales that may be described…

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

The intended use of a magnetic material, from information storage to power conversion, depends crucially on its domain structure, traditionally crafted during materials synthesis. By contrast, we show that an external magnetic field applied…

Materials Science · Physics 2016-09-08 D. M. Silevitch , G. Aeppli , T. F. Rosenbaum

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

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, $\delta=1$, which exhibits a stripe-ordered phase with the width of one lattice unit…

Statistical Mechanics · Physics 2018-12-26 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino

LiCuVO$_4$ is a model system of a 1D spin-1/2 chain that enters a planar spin-spiral ground state below its N\'eel temperature of 2.4 K due to competing nearest and next nearest neighbor interactions. The spin-spiral state is multiferroic…

Recently, a new memory effect was found in the metamagnetic domain structure of the diluted Ising antiferromagnet $Fe_x Mg_{1-x} Cl_2$ by domain imaging with Faraday contrast. Essential for this effect is the dipole interaction. We simulate…

Condensed Matter · Physics 2009-10-22 U. Nowak , A. Hucht

The LiHo$_x$Y$_{1-x}$F$_4$ Ising magnetic material subject to a magnetic field, $B_x$, perpendicular to the Ho$^{3+}$ Ising direction has shown over the past twenty years to be a host of very interesting thermodynamic and magnetic…

Statistical Mechanics · Physics 2008-12-13 Pawel Stasiak , Michel J. P. Gingras

The emergence of complex modulated structures in the magnetization pattern of thin films is a well-established experimental phenomenology caused by the frustrating effects of competing interactions. Using a coarse-grained version of the…

We present a systematic study of the phase diagram of LiHo$_x$Y$_{1-x}$F$_4$ ($0.25<x<1$) Ising ferromagnets obtained from neutron scattering measurements and mean-field calculations. We show that while the thermal phase transition…

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