| Autor: |
Izadi, Fateme, Sepehrinia, Reza |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Phys Rev. E 108, 064117 (2023) |
| Druh dokumentu: |
Working Paper |
| Popis: |
We obtain the exact ground state energy of the quasi-one dimensional restricted $\pm J$ Ising spin glass in a uniform magnetic field using the transfer matrix method. Magnetic field dependence allows us to derive the magnetization as a function of concentration and magnetic field. It turns out that, in the limit of zero field, the magnetization tends to a nonzero value with a singular dependence on the magnetic field. We derive the explicit form of the singularity in thermodynamic quantities such as energy $E\simeq E_0+m_0 h + E_1e^{-h_0/h}$, which is an essential singularity known as Griffiths singularity. We confirm our analytical results using the numerical approach based on iterative equations for energy. |
| Databáze: |
arXiv |
| Externí odkaz: |
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