Abstract
Here, we present a theoretical study of a new statistical lattice model based on a double hexagonal structure associated with G2 symmetry. Using Monte Carlo simulation, we study the magnetic properties of the Ising-1/2 model with spin values σ = ±1 residing on the sites of our double hexagonal lattice. In particular, we calculate and analyze the thermal behavior of the total and partial magnetizations as well as the corresponding susceptibilities for different lattice sizes. The present study shows that the total and partial magnetizations vanish at the same critical temperature. This vanishing is continuous, indicating that the type of the transition is a second order. With the help of the finite-size scaling analysis, we estimate the critical transition temperature related to the uniform coupling interaction value equals one. Our findings reflect a good estimation of the critical temperature, TC that is equal to 2.976∓0.004JkB. The obtained critical temperature of our presented model can be found between the critical temperatures of hexagonal and triangular lattice models.
Highlights
Magnetic materials contribute strongly to the development of many aspects of our civilization.1,2 In the last few decades, these materials have received additional remarkable interest owing to their high technological applications, such as in information storage, spintronic devices, and non-volatile magnetic memories.1–3 In the context of manufacturing such magnetic devices, much work has been done to study the behavior of various magnetic materials seeking promising candidates with specific requirements.1–4In relation to the theoretical side, many magnetic models have been proposed to describe the behavior of magnetic materials by considering their spin and lattice symmetry, and representing the interactions between these spins with different Hamiltonians.5–13 Owing to the lack of exact analytical solutions of such models in most cases, their magnetic behaviors can be investigated with different approximating techniques
Using Monte Carlo simulation, we study the magnetic properties of the Ising-1/2 model with spin values σ = ±1 residing on the sites of our double hexagonal lattice
It is observed that the total and both partial magnetizations vanish at the same critical temperature
Summary
Magnetic materials contribute strongly to the development of many aspects of our civilization. In the last few decades, these materials have received additional remarkable interest owing to their high technological applications, such as in information storage, spintronic devices, and non-volatile magnetic memories. In the context of manufacturing such magnetic devices, much work has been done to study the behavior of various magnetic materials seeking promising candidates with specific requirements.. Owing to the lack of exact analytical solutions of such models in most cases, their magnetic behaviors can be investigated with different approximating techniques These include but not limited to Mean-Field Approximation (MFA), effective-field theory, and Monte Carlo simulations.. Motivated by this association between Lie symmetries and the 2D lattice models, we have proposed a new 2D lattice massoodceila,tpedrewseinthtetdhein(√Fig3.×1,√b3a)seRd30o○nsatrduoctuubrlee.3h6exagonal symmetry the (I√nd3e×ed√, t3h)eRc3o0n○nsetcrtuiocntubreetwanedenththeisGn2ewsym2Dmleattrtyic,ewmhoicdheliws iatnh exceptional Lie algebra with rank two and dimension 14, has been explained in detail tihnisou(r√p3re×vi√ou3s)Rw3o0r○k.s3t6ructure has been reported in many theoretical, experimental, and computational studies.37–47 Such a structure appears in a seven real dimensional manifold, playing an essential role in the M-theory compactification leadiFnugrtthoerfmouorr-ed,itmhiesn(si√on3a×l. Motivated by all activities mentioned above and for the sake of completeness, we perform Monte Carlo simulation in order to get more accurate magnetic properties, including the critical
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
