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We study an integrable two-leg spin-1/2 ladder with an XYZ-type runginteraction. Exact rung states and rung energies are obtained for theanisotropic rung coupling in the presence of a magnetic field. Magneticproperties are analyzed at both zero and finite temperatures via thethermodynamic Bethe ansatz and the high-temperature expansion. According todifferent couplings in the anisotropic rung interaction, there are two cases inwhich a gap opens, with the ground state involving one or two components in theabsence of a magnetic field. We obtain the analytic expressions of all criticalfields for the field-induced quantum phase transitions (QPT). Anisotropic runginteraction leads to such effects as separated magnetizations andsusceptibilities in different directions, lowered inflection points and remnantweak variation of the magnetization after the last QPT.Comment: 9 pages, 8 figures; a typo in C_2(below eq.7) correcte

Exact solution and magnetic properties of an anisotropic spin ladder