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The spin-1/2 Ising-Heisenberg two-leg ladder accounting for alternating Isingand Heisenberg inter-leg couplings in addition to the Ising intra-leg couplingis rigorously mapped onto to a mixed spin-(3/2,1/2) Ising-Heisenberg diamondchain with the nodal Ising spins $S=3/2$ and the interstitial spin-1/2Heisenberg dimers. The latter effective model with higher-order interactionsbetween the nodal and interstitial spins is subsequently exactly solved withinthe transfer-matrix method. The model under investigation exhibits fivedifferent ground states: ferromagnetic, antiferromagnetic,superantiferromagnetic and two types of frustrated ground states with anon-zero residual entropy. A detailed study of thermodynamic properties revealsan anomalous specific-heat peak at low enough temperatures, which is stronglyreminiscent because of its extraordinary height and sharpness to an anomalyaccompanying a phase transition. It is convincingly evidenced, however, thatthe anomalous peak in the specific heat is finite and it comes from vigorousthermal excitations from a two-fold degenerate ground state towards amacroscopically degenerate excited state. Thermal entanglement between thenearest-neighbor Heisenberg spins is also comprehensively explored by takingadvantage of the concurrence. The threshold temperature delimiting a boundarybetween the entangled and disentangled parameter space may show presence of apeculiar temperature reentrance.

solid state communications

Thermal entanglement and sharp specific-heat peak in an exactly solved  spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg  inter-leg couplings