Antiferromagnetic zigzag spin chain in magnetic fields at finite temperatures

We study thermodynamic behaviors of the antiferromagnetic zigzag spill chain in magnetic fields, using the density-matrix renormalization-group method for the quantum transfer matrix. We focus on the thermodynamics of the system near the critical fields in the ground-state magnetization process (M-H curve): the saturation field, the lower critical field associated with excitation gap, and the field at the middle-field cusp singularity. We calculate magnetization. susceptibility, and specific heat of the zigzag chain in magnetic fields at finite temperatures. and then discuss how the calculated quantities reflect the low-lying excitations of the system related with the critical behaviors in the M-H curve.