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In spin-glass systems, frustration can be adjusted continuously and considerably, without changing the antiferromagnetic bond probability p, by using locally correlated quenched randomness, as we demonstrate here on hypercubic lattices and…

Disordered Systems and Neural Networks · Physics 2014-06-03 Efe Ilker , A. Nihat Berker

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong

We consider an alternative to the usual spin glass paradigm for disordered magnetism, consisting of the previously unstudied combination of frustrated magnetic interactions and pseudo-dipolar disorder in spin positions. We argue that this…

Other Condensed Matter · Physics 2011-11-02 S. T. Banks , S. T. Bramwell

We study a range of thermodynamic properties (charge susceptibility, specific heat, entropy and spin susceptibility) of the Hubbard model on the anisotropic triangular lattice at half filling by means of the numerical finite-temperature…

Strongly Correlated Electrons · Physics 2013-05-30 J. Kokalj , Ross H. McKenzie

We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the…

Strongly Correlated Electrons · Physics 2025-12-30 T. Krokhmalskii , T. Hutak , O. Derzhko

We consider discrete spin models on arbitrary planar graphs and lattices with frustrated interactions. We first analyze the Ising model with frustrated plaquettes. We use an algebraic approach to derive the result that an Ising model with…

Statistical Mechanics · Physics 2009-11-07 D. -H. Lee , F. Y. Wu

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising…

High Energy Physics - Theory · Physics 2012-08-27 Valentin Bonzom , Razvan Gurau , Vincent Rivasseau

Magnetic and electronic states of an Ising-spin Kondo lattice model on a kagome lattice are investigated by a Monte Carlo simulation. In addition to the conventional ferromagnetic and ferrimagnetic orders, we show that this model exhibits…

Strongly Correlated Electrons · Physics 2015-02-18 Hiroaki Ishizuka , Yukitoshi Motome

We use a Monte Carlo simulation to study the diluted antiferromagnetic Ising model on the frustrated lattices including the pyrochlore lattice to show the dilution effects. Using the Wang-Landau algorithm, which directly calculates the…

Strongly Correlated Electrons · Physics 2017-05-24 Yuriy Shevchenko , Konstantin Nefedev , Yutaka Okabe

We study the dynamical properties of the fully frustrated Ising model. Due to the absence of disorder the model, contrary to spin glass, does not exhibit any Griffiths phase, which has been associated to non-exponential relaxation dynamics.…

Statistical Mechanics · Physics 2009-10-30 A. Fierro , A. de Candia , A. Coniglio

We report thermodynamic and neutron scattering measurements of the triangular-lattice quantum Ising magnet TmMgGaO 4 in longitudinal magnetic fields. Our experiments reveal a quasi-plateau state induced by quantum fluctuations. This state…

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , C. Ekiz

The study of frustrated spin systems often requires time-consuming numerical simulations. As the simplest approach, the classical Ising model is often used to investigate the thermodynamic behavior of such systems. Exploiting the small…

Statistical Mechanics · Physics 2013-05-30 Bilin Zhuang , Courtney Lannert

Two-dimensional triangular-lattice materials with spin-1/2 are perfect platforms for investigating quantum frustrated physics with spin fluctuations. Here we report the structure, magnetization, heat capacity and inelastic neutron…

Strongly Correlated Electrons · Physics 2019-12-17 Jie Xing , Liurukara D. Sanjeewa , Jungsoo Kim , G. R. Stewart , Andrey Podlesnyak , Athena S. Sefat

We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions with random fields on each site, following an arbitrary distribution. As is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bikas K. Chakrabarti , Arnab Das , Jun-ichi Inoue

In random networks decorated with Ising spins, an increase of the density of frustrations reduces the transition temperature of the spin-glass ordering. This result is in contradiction to the Bethe theory. Here we investigate if this effect…

Disordered Systems and Neural Networks · Physics 2009-04-28 Anna Manka-Krason , Krzysztof Kulakowski

The spontaneous magnetization of the Kagome lattice in the Ising model is investigated. The proof of the fallacy of spontaneous magnetization obtained earlier and repeatedly migrating from publication to publication is given. An exact…

Strongly Correlated Electrons · Physics 2023-04-12 F. A. Kassan-Ogly

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

Although geometrical frustration transcends scale, it has primarily been evoked in the micro and mesoscopic realm to characterize such phases as spin-ice liquids and glasses and to explain the behavior of such materials as multiferroics,…

Materials Science · Physics 2012-12-19 Paula Mellado , Andres Concha , L. Mahadevan

We investigate the Hubbard model on two typical frustrated lattices in two dimensions, the kagome lattice and the anisotropic triangular lattice, by means of the cellular dynamical mean field theory. We show that the metallic phase is…

Strongly Correlated Electrons · Physics 2015-05-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami