In the replica symmetric approximation and static limit in Matsubara "imagi
nary time", the quantum XY spin glass model with planar Dzyaloshinskii-Mori
ya interaction in longitudinal field is investigated. Several thermodynamic
quantities are calculated numerically as well as spin self-interaction and
spin glass order parameter for spin S = 1/2. It is shown that the entropy
is not independent of the field. A crossover behavior of the specific heat
depending on temperature is found. There is a deviation from the parabolic
approximation, C/T = A + Bh(2).