Abstract
The zero-field susceptibility of the transverse Ising chain with arbitrary spin is exactly expressed in terms of the eigenvector (for the maximum eigenvalue) of the transfer matrix corresponding to its Ising interaction. The explicit expression of the susceptibility can be obtained at least for S ⩽ 7/2. The numerical calculations for large spin values are also given. The zero-temperature limit of the susceptibility is independent on spin value. The calculation is generalized to Hamiltonians with Ising-type interactions, such as thespin- S transverse Ising chain with parallel magnetic field H z , the S = 1 BEG model, mixed spin and mixed bond chains with periodic structures such as ferrimagnet, and random bond Ising chains. Other quantities such as the specific heat are also calculated for arbitrary spin value.
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