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We examine the low-energy excitations in the vicinity of the quantum critical point in LiHoF$_4$, a physical realization of the Transverse Field Ising Model, focusing on the long-range fluctuations which soften to zero energy at the…

Strongly Correlated Electrons · Physics 2024-10-25 P. C. E. Stamp , D. M. Silevitch , M. Libersky , Ryan McKenzie , A. A. Geim , T. F. Rosenbaum

The Random Field Ising Model (RFIM) is the simplest physical model reflecting effect of quenched disorder on the different types of phase transitions in solids. The presence of multiple energy minima in the RFIM is an important feature…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. A. Likhachev

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

Disordered Systems and Neural Networks · Physics 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

In this paper we investigate the relationship between glassy and ferromagnetic phases in disordered Ising ferromagnets in the presence of transverse magnetic fields, $\Gamma$. Iterative mean field simulations probe the free energy landscape…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ying-Jer Kao , G. S. Grest , K. Levin , J. Brooke , T. F. Rosenbaum , G. Aeppli

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram.…

Condensed Matter · Physics 2009-10-30 A. Z. Akheyan , N. S. Ananikian , S. K. Dallakian

Diluted Ising antiferromagnets in a homogenous magnetic field have a disordered phase for sufficiently large values of the field and for low temperatures. Here, the system is in a domain state with a broad size-distribution of fractal…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. Staats , U. Nowak , K. D. Usadel

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

Disordered Systems and Neural Networks · Physics 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well…

Disordered Systems and Neural Networks · Physics 2015-05-20 Istvan A. Kovacs , Ferenc Igloi

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

Statistical Mechanics · Physics 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

The antiferromagnetic Ising chain in both transverse and longitudinal magnetic fields is one of the paradigmatic models of a quantum phase transition. The antiferromagnetic system exhibits a zero-temperature critical line separating an…

Disordered Systems and Neural Networks · Physics 2017-08-30 Yu-Ping Lin , Ying-Jer Kao , Pochung Chen , Yu-Cheng Lin

The explicit form of the Griffiths singularity in the random ferromagnetic Ising model in external magnetic field is derived. In terms of the continuous random temperature Ginzburg-Landau Hamiltonian it is shown that in the paramagnetic…

Disordered Systems and Neural Networks · Physics 2009-11-11 Victor Dotsenko

We have studied the magnetic relaxation behavior of a two-dimensional Ising ferromagnet by Monte Carlo simulation. Our primary goal is to investigate the effects of the system's geometry (area preserving) , boundary conditions, and…

Statistical Mechanics · Physics 2023-11-21 Ishita Tikader , Olivia Mallick , Muktish Acharyya

The Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagnetic domain wall flip and of the random field a la Imry-Ma…

Disordered Systems and Neural Networks · Physics 2015-06-15 Luca Leuzzi , Giorgio Parisi

We study the ferromagnetic random field Ising model (RFIM) on a graph $G=(V,E)$ having maximal degree $\Delta$, where the external field at each vertex is an i.i.d. random variable. When the random field distribution is sufficiently…

Probability · Mathematics 2026-05-05 Yi Han

The question of robustness of a network under random ``attacks'' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. O. Hase , J. F. F. Mendes

Recent studies of heavy-fermion systems with tunable quantum fluctuations have focused on a variety of zero-temperature phase transitions that involve not only the onset of magnetic order but also the destruction of Kondo entanglement.…

Strongly Correlated Electrons · Physics 2016-03-15 Emilian M. Nica , Kevin Ingersent , Qimiao Si

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Chudnovskiy

Motivated by the compound ${\rm LiHo}_x{\rm Y}_{1-x}{\rm F}_4$, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero…

Disordered Systems and Neural Networks · Physics 2023-03-07 Tamás Pető , Ferenc Iglói , István A. Kovács

We investigate a mechanism to establish ground-state ferromagnetism in flat-band Hubbard systems based on a kind of {\it order-from-disorder} effect driven by dispersion. As a paradigm we consider a frustrated diamond chain, where for ideal…

Strongly Correlated Electrons · Physics 2014-09-04 Oleg Derzhko , Johannes Richter
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