TY - JOUR AU - Apinyan, Vardan PY - 2023 DA - 2023/06/24 TI - Spontaneous Magnetization in the Finite-Size Two-Leg Ising Ladder in the External Magnetic Field JO - Recent Progress in Materials SP - 026 VL - 05 IS - 02 AB - This paper considers a finite-sized two-leg ladder of spin-1/2 particles with local inter-chain Ising interaction. We include the effects of an external magnetic field by incorporating a Zeeman-type coupling between the magnetic field and the spins localized on the lattice sites. To analyze the system, we utilize the transfer-matrix formalism to calculate the partition function. We compute the magnetization for different configurations by varying the system's parameters. We observe the presence 3of spontaneous magnetization within the system. As the inter-chain Ising interaction changes its sign, the magnetization value changes from negative to positive values. Furthermore, we identify a phase transition from diamagnetic to ferromagnetic states when examining the temperature dependence of the magnetization at zero magnetic fields. We observe a step-like behavior in the magnetization curve in the low temperature limit. SN - 2689-5846 UR - https://doi.org/10.21926/rpm.2302026 DO - 10.21926/rpm.2302026 ID - Apinyan2023 ER -