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Susceptibility of the Ising Model on a Kagomé Lattice by Using Wang-Landau Sampling
- Source :
- Journal of the Korean Physical Society. 72:653-657
- Publication Year :
- 2018
- Publisher :
- Korean Physical Society, 2018.
-
Abstract
- The susceptibility of the Ising model on a kagome lattice has never been obtained. We investigate the properties of the kagome-lattice Ising model by using the Wang-Landau sampling method. We estimate both the magnetic scaling exponent yh = 1.90(1) and the thermal scaling exponent yt = 1.04(2) only from the susceptibility. From the estimated values of yh and yt, we obtain all the critical exponents, the specific-heat critical exponent α = 0.08(4), the spontaneous-magnetization critical exponent β = 0.10(1), the susceptibility critical exponent γ = 1.73(5), the isothermalmagnetization critical exponent δ = 16(4), the correlation-length critical exponent ν = 0.96(2), and the correlation-function critical exponent η = 0.20(4), without using any other thermodynamic function, such as the specific heat, magnetization, correlation length, and correlation function. One should note that the evaluation of all the critical exponents only from information on the susceptibility is an innovative approach.
- Subjects :
- Physics
Condensed matter physics
General Physics and Astronomy
Sampling (statistics)
02 engineering and technology
021001 nanoscience & nanotechnology
01 natural sciences
Magnetization
Correlation function (statistical mechanics)
Lattice (order)
0103 physical sciences
Exponent
Ising model
010306 general physics
0210 nano-technology
Critical exponent
Scaling
Subjects
Details
- ISSN :
- 19768524 and 03744884
- Volume :
- 72
- Database :
- OpenAIRE
- Journal :
- Journal of the Korean Physical Society
- Accession number :
- edsair.doi...........761f30946824f88eb914f69554b5cb39