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The pursuit of understanding parity anomaly in condensed matter systems hasled to significant advancements in both theoretical and experimental researchin recent years. In this study, we explore the parity anomaly of massless Diracfermions in a semimagnetic topological insulator (TI) thin film subjected to afinite magnetic field. Our findings reveal an anomalous half-quantized Hallconductance arising from the occupied electronic states far below the Fermilevel, which is directly associated with the parity anomaly. This observationdemonstrates a crossover from one-half quantized Hall conductance in a metallicphase at zero field to one or zero quantized Hall conductance in the insulatingphase at a strong field in the presence of disorders, serving as a keyindicator for confirming parity anomaly. Our work provides valuable insightsinto the intricate relationship between band topology in condensed mattersystems and quantum anomaly in quantum field theory.

Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field