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Typically two particles (spins) could be maximally entangled at zerotemperature, and for a certain temperature the phenomenon of entanglementvanishes at the threshold temperature. For the Heisenberg coupled model or eventhe Ising model with a transverse magnetic field, one can observe some rise ofentanglement even for a disentangled region at zero temperature. So we canunderstand this emergence of entanglement at finite temperature as being due tothe mixing of some maximally entangled states with some other untangled states.Here, we present a simple one-dimensional Ising model with alternating Isingand Heisenberg spins in an arbitrarily oriented magnetic field, which can bemapped onto the classical Ising model with a magnetic field. This model doesnot show any evidence of entanglement at zero temperature, but surprisingly atfinite temperature rise a pairwise thermal entanglement between two untangledspins at zero temperature, when an arbitrarily oriented magnetic field isapplied. This effect is a purely magnetic field,and the temperature dependence,as soon as the temperature increases, causes a small increase in concurrenceachieving its maximum at around 0.1. Even for long-range entanglement, a weakconcurrence still survives. There are also some real materials that could serveas candidates that would exhibit this effect, such asDy(NO$_{3}$)(DMSO)$_{2}$Cu(opba)(DMSO)$_{2}$.

Rise of pairwise thermal entanglement for an alternating Ising and Heisenberg spin chain in an arbitrarily oriented magnetic field