The magnetic susceptibility on the transverse antiferromagnetic Ising model: Analysis of the reentrant behavior

We study the three-dimensional antiferromagnetic Ising model in both uniform longitudinal [Formula: see text] and transverse [Formula: see text] magnetic fields by using the effective-field theory (EFT) with finite cluster [Formula: see text] spin (EFT-1). We analyzed the behavior of the magnetic susceptibility to investigate the reentrant phenomena that we have seen in the same phase diagram previously obtained in other papers. Our results shows the presence of two divergences in the susceptibility that indicates the existence of a reentrant behavior.

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Effective-field-theory analysis of the three-dimensional random-field Ising model on isometric lattices

Physical Review E ◽

10.1103/physreve.83.061103 ◽

2011 ◽

Vol 83 (6) ◽

Cited By ~ 20

Author(s):

Ümit Akıncı ◽

Yusuf Yüksel ◽

Hamza Polat

Keyword(s):

Field Theory ◽

Ising Model ◽

Random Field ◽

Effective Field Theory ◽

Three Dimensional ◽

Effective Field ◽

Theory Analysis ◽

Random Field Ising Model

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Unique phase diagrams in a graphene-like transverse Ising nanoparticle

International Journal of Modern Physics B ◽

10.1142/s0217979218502557 ◽

2018 ◽

Vol 32 (23) ◽

pp. 1850255 ◽

Cited By ~ 5

Author(s):

T. Kaneyoshi

Keyword(s):

Field Theory ◽

Ising Model ◽

Phase Diagrams ◽

Effective Field Theory ◽

Transverse Field ◽

Effective Field ◽

Two Dimensional ◽

Surface Exchange ◽

Small Surface ◽

Reentrant Phenomena

The phase diagrams and the magnetizations in a graphene-like two-dimensional nanoparticle described by the transverse Ising model are investigated by the use of the effective-field theory with correlations. We have found some characteristic behaviors especially for the system with a small transverse field and a small surface exchange interaction, such as the reentrant phenomena.

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QUALITATIVE ASPECTS OF THE PHASE DIAGRAM OF J1–J2 MODEL ON THE CUBIC LATTICE

International Journal of Modern Physics B ◽

10.1142/s0217979213501622 ◽

2013 ◽

Vol 27 (26) ◽

pp. 1350162 ◽

Cited By ~ 7

Author(s):

OCTAVIO D. R. SALMON ◽

NUNO CROKIDAKIS ◽

MINOS A. NETO ◽

IGOR T. PADILHA ◽

J. ROBERTO VIANA ◽

...

Keyword(s):

Phase Diagram ◽

Ising Model ◽

Effective Field Theory ◽

Nearest Neighbor ◽

Three Dimensional ◽

Universality Class ◽

Continuous Phase ◽

Effective Field ◽

Cubic Lattice ◽

Plane Temperature

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic (F) nearest-neighbor interactions (J1) and antiferromagnetic (AF) next-nearest-neighbor couplings (J2) are analyzed in the plane temperature versus α, where α = J2/|J1| is the frustration parameter. We used the original Wang–Landau sampling (WLS) and the standard Metropolis algorithm to confront past results of this model obtained by the effective-field theory (EFT) for the cubic lattice. Our numerical results suggest that the predictions of the EFT are in general qualitatively correct, but the low-temperature re-entrant behavior, observed in the frontier separating the F and the collinear order, is an artifact of the EFT approach and should disappear when we consider Monte Carlo (MC) simulations of the model. In addition, our results indicate that the continuous phase transition between the F and the paramagnetic (P) phases, that occurs for 0.0 ≤α< 0.25, belongs to the universality class of the three-dimensional pure Ising Model.

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