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We study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice…

Statistical Mechanics · Physics 2008-04-28 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

Critical behavior is very common in many fields of science and a wide variety of many-body systems exhibit emergent critical phenomena. The beauty of critical phase transitions lies in their scale-free properties, such that the temperature…

Mesoscale and Nanoscale Physics · Physics 2019-06-28 O. Sendetskyi , V. Scagnoli , N. Leo , L. Anghinolfi , A. Alberca , Jan Lüning , U. Staub , P. M. Derlet , L. J. Heyderman

We address the question of weak versus strong universality scenarios for the random-bond Ising model in two dimensions. A finite-size scaling theory is proposed, which explicitly incorporates $\ln L$ corrections ($L$ is the linear finite…

Statistical Mechanics · Physics 2008-02-03 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

We analyze the thermal magnetization reversal processes in magnetic grains. Two experiments are carried out: swtiching time and switching field experiments. In both cases, we find that the simulated behavior is coherent with existing…

Condensed Matter · Physics 2009-10-28 R. Mélin

Finite-size corrections to scaling of critical correlation lengths and free energies of Ising and three-state Potts ferromagnets are analysed by numerical methods, on strips of width $N$ sites of square, triangular and honeycomb lattices.…

Statistical Mechanics · Physics 2009-10-31 S L A de Queiroz

Artificial magnetic honeycomb lattice provides a two-dimensional archetypal system to explore novel phenomena of geometrically frustrated magnets. According to theoretical reports, an artificial magnetic honeycomb lattice is expected to…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , Y. Chen , A. Dahal , D. K. Singh

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

Statistical Mechanics · Physics 2013-01-31 Jana Cisarova , Jozef Strecka

We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Daisuke Tahara , Yukitoshi Motome , Masatoshi Imada

We measure magnetization as a function of temperature, magnetic field and time in a BaFe$_2$(As$_{0.68}$P$_{0.32}$)$_2$ single crystal with $T_c$ = 27.6 K. The fish-tail observed on many $M$($H$) curves are used to construct isofield…

We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter, which drives the…

Probability · Mathematics 2021-02-22 Nicolas Forien

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

It is often assumed that for treating numerical (or experimental) data on continuous transitions the formal analysis derived from the Renormalization Group Theory can only be applied over a narrow temperature range, the "critical region";…

Statistical Mechanics · Physics 2015-05-20 I. A. Campbell , P. H. Lundow

In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures…

Statistical Mechanics · Physics 2015-06-11 Juan Muglia , Ezequiel V. Albano

When interacting spin systems possess non-zero magnetization or topological entanglement entropy below the transition temperature, they often serve as classical or quantum self-correcting memory. In particular, their memory time grows…

Quantum Physics · Physics 2014-04-03 Beni Yoshida

We apply a new updating algorithm scheme to investigate the critical behavior of the two-dimensional ferromagnetic Ising model on a triangular lattice with nearest neighbour interactions. The transition is examined by generating accurate…

Statistical Mechanics · Physics 2015-05-13 Zhi-Huan Luo , Mushtaq Loan , Yan Liu , Jian-Rong Lin

The scaling of the thermoremanent magnetization and of the dissipative part of the non-equilibrium magnetic susceptibility is analysed as a function of the waiting-time $s$ for a simple ferromagnet undergoing phase-ordering kinetics after a…

Condensed Matter · Physics 2009-11-07 Malte Henkel , Matthias Paessens , Michel Pleimling

Finite-size scaling, finite-size corrections, and boundary effects for critical systems have attracted much attention in recent years. Here we derive exact finite-size corrections for the free energy F and the specific heat C of the…

Statistical Mechanics · Physics 2011-06-20 N. Sh. Izmailian , K. B. Oganesyan , Chin-Kun Hu

It is known that fixed boundary conditions modify the leading finite-size corrections for an L^3 lattice in 3d at a first-order phase transition from 1/L^3 to 1/L. We note that an exponential low-temperature phase degeneracy of the form…

Statistical Mechanics · Physics 2014-12-17 Marco Mueller , Wolfhard Janke , Desmond A. Johnston

We present detailed analytical studies on the zero temperature coarsening dynamics in an Ising spin chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. We show that the presence of…

Statistical Mechanics · Physics 2009-11-07 Satya N. Majumdar , David S. Dean