Square lattice Ising antiferromagnet in an external magnetic field

1980 ◽  
Vol 40 (3) ◽  
pp. 233-240 ◽  
Author(s):  
J. Zittartz
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Square Lattice ◽  
Ising Antiferromagnet

COMPENSATION TEMPERATURE OF A MIXED SPIN-1 AND SPIN-1/2 HEISENBERG FERRIMAGNETIC MODEL

2004 ◽  
Vol 18 (10n11) ◽  
pp. 1637-1649 ◽  
Author(s):  
JUN LI ◽  
GUOZHU WEI ◽  
AN DU
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Crystal Field ◽  
Nearest Neighbor ◽  
Magnetic Behavior ◽  
Compensation Temperature ◽  
Square Lattice ◽  
Function Technique ◽  
Neighbor Interaction ◽  
Mixed Spin

The behavior of the compensation of a mixed spin-1 and spin-1/2 Heisenberg ferrimagnetic system on a square lattice is investigated theoretically by a two-time Green-function technique which takes into account the quantum nature of Heisenberg spins. The model includes the nearest and next-nearest neighbor interactions between spins, a crystal field and an external magnetic field. This model can be relevant for understanding the magnetic behavior of bimetallic molecular ferrimagnets that are currently being synthesized by several experimental groups. We study the spin-wave spectra of the ground state and investigate the effects of the next-nearest neighbor interactions, a crystal field and an external magnetic field on the compensation temperature. It is found that a compensation point appears and it is basically unchanged when the next-nearest-neighbor interaction between spin-1/2 is taken into account and exceeds a minimum value for other values in Hamiltonian fixed. The compensation temperature is influenced by the next-nearest-neighbor interaction between spin-1 and the external magnetic field and it is disappearing as these parameters exceed the trivial values.

scholarly journals Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii--Moriya interaction

2020 ◽  
Vol 20 (1) ◽  
pp. 63-73
Author(s):  
Vitalii Kapitan ◽  
◽  
Egor Vasiliev ◽  
Yuriy Shevchenko ◽  
Alexander Perzhu ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Numerical Simulation ◽  
External Magnetic Field ◽  
Thermodynamic Properties ◽  
Spin Systems ◽  
Square Lattice ◽  
Temperature Behaviour ◽  
Heisenberg Spin ◽  
Moriya Interaction

We present results of numerical simulation of thermodynamics for array of Classical Heisenberg spins placed on 2D square lattice. By using Metropolis and Wang--Landau methods we show the temperature behaviour of system with competing Heisenberg and Dzyaloshinskii--Moriya interaction (DMI) in contrast with classical Heisenberg system. We show the process of nucleating of skyrmion depending on the value of external magnetic field.

scholarly journals Computer Simulation of Magnetic Skyrmions

Proceedings ◽  
2019 ◽  
Vol 46 (1) ◽  
pp. 6
Author(s):  
Vitalii Kapitan ◽  
Egor Vasiliev ◽  
Alexander Perzhu
Keyword(s):  
Magnetic Field ◽  
Numerical Simulation ◽  
Computer Simulation ◽  
External Magnetic Field ◽  
Single Layer ◽  
Metropolis Algorithm ◽  
Square Lattice ◽  
Temperature Behaviour ◽  
Magnetic Skyrmions ◽  
Moriya Interaction

In this paper, we present the results of a numerical simulation of thermodynamics for the array of Classical Heisenberg spins placed on a 2D square lattice, which effectively represents the behaviour of a single layer. Using the Metropolis algorithm, we show the temperature behaviour of the system with a competing Heisenberg and Dzyaloshinskii–Moriya interaction (DMI) in contrast with the classical Heisenberg system. We show the process of nucleation of the skyrmion depending on the value of the external magnetic field. We proposed the controlling method for the movement of skyrmions.

scholarly journals Compensation Temperature of a Mixed Ising Ferrimagnetic Model in the Presence of External Magnetic Fields

1998 ◽  
Vol 517 ◽  
Author(s):  
G. M. Buendia ◽  
E. Machado ◽  
M. A. Novotny
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
External Magnetic Field ◽  
Magnetic Fields ◽  
External Field ◽  
Monte Carlo Methods ◽  
Nearest Neighbor ◽  
Narrow Range ◽  
Compensation Temperature ◽  
Square Lattice

AbstractThe behavior of the compensation temperature of a mixed Ising ferrimagnetic system on a square lattice in which the two interpenetrating square sublattices have spins σ (±1/2) and spins S (±1,0) has been studied with Monte Carlo methods. Our model includes nearest and next-nearest neighbor interactions, a crystal field and an external magnetic field. This model is relevant for understanding bimetallic molecular ferrimagnetic materials. We found that there is a narrow range of parameters of the Hamiltonian for which the model has compensation temperatures and that the compensation point exists only for small values of the external field.

SIMULATION OF A MULTICRITICAL FCC ISING ANTIFERROMAGNET

1996 ◽  
Vol 07 (06) ◽  
pp. 857-861
Author(s):  
D. RENNÉ
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
External Magnetic Field ◽  
Triple Point ◽  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Multicritical Point ◽  
Fcc Lattice ◽  
Ising Antiferromagnet ◽  
Open Question

Inspired by the work by Kämmerer, Dünweg, Binder, and d'Onorio de Meo we investigated the spin-[Formula: see text] Ising antiferromagnet on a fcc lattice in a homogeneous external magnetic field H with uniform nearest-neighbor interaction J by Monte Carlo simulations. In order to answer the open question whether this system exhibits a triple point or a multicritical point for positive H, we mainly studied lattices with 4 · 323 and 4 · 723 spins. We found a multicritical point at (Hc, kBTc) = (3.49 ± 0.02, 1.02 ± 0.01) J in the thermodynamic limit.

scholarly journals Lanczos study of the S = 1/2 frustrated square-lattice anti-ferromagnet in a magnetic field

2001 ◽  
Vol 79 (11-12) ◽  
pp. 1557-1563 ◽  
Author(s):  
A Honecker
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
External Magnetic Field ◽  
Magnetization Curve ◽  
Square Lattice ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Lanczos Algorithm ◽  
Spin Order ◽  
Temperature Phase Diagram

We study the zero-temperature phase diagram of the frustrated square-lattice S = 1/2 anti-ferromagnet in an external magnetic field numerically with the Lanczos algorithm. For strong frustration, we find disordered phases at high (and low) magnetic fields. Between these two disordered phases, we find a plateau in the magnetization curve at half of the saturation magnetization, which corresponds to a state with up-up-up-down (uuud) spin order. This and other considerations (M.E. Zhitomirsky, A. Honecker, and O.A. Petrenko. Phys. Rev. Lett. 85, 3269 (2000).) suggest an unusual ordering scenario. There is an ordered phase with a spin gap (the plateau) and disordered magnetically gapless phases above and below. The transition to saturation is studied in further detail and problematic conclusions in earlier investigations of this region are pointed out. PACS Nos.: 75.50Ee, 75.40Mg, 75.45+j

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