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identifier6Thermodynamic properties of quantum integrable ladders2001Y 0 and <0 in the limit of weak coupling and numerically for ==1 in the limit of strong coupling. In the regime of sufficiently weak coupling, the low-temperature specific heat of the system is obtained with and without a magnetic field, using the thermodynamic Bethe ansatz equations. The magnetic susceptibility is also derived in a weak field, which yields a typical logarithmic corrections. The spin frustration affects only to the amplitudes in the magnetic susceptibility and the specific heat. In numerical analysis, the magnetic susceptibilities versus magnetic field are obtained at zero temperature for several coupling constants and at a fixed large coupling for several low temperatures. For sufficiently large coupling constant, the zero-temperature susceptibility shows a divergence at a critical magnetic field, indicating a phase transition from a single chain into two independent chains as the magnetic field increases. This divergence expects to smear out with a finite temperature.
As an extended work, an integrable two-leg supersymmetric t-J model is diagonalized in Boson-Fermion-Fermion grading scheme, which differs from the previous work of Zvyagin who diagonalized a multi-chain t-J model in Fermion-Fermion-Boson grading scheme. In Boson-Fermion-Fermion grading, ground state is determined without ambiguity as in Fermion-Fermion-Boson grading and the model properly reduces to the Heisenberg spin ladder when the bosonic degrees of freedom are turned off and to a single t-J chain when the coupling constant vanishes. The construction of the diagonalized Hamiltonian yields the Bethe ansatz equations. Within the restriction of a weak coupling, the magnetic susceptibility is calculated at a weak magnetic field and zero temperature.
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