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

Abstract

The pursuit of understanding parity anomaly in condensed matter systems has led to significant advancements in both theoretical and experimental research in recent years. In this study, we explore the parity anomaly of massless Dirac fermions in a semimagnetic topological insulator (TI) thin film subjected to a finite magnetic field. Our findings reveal an anomalous half-quantized Hall conductance arising from the occupied electronic states far below the Fermi level, which is directly associated with the parity anomaly. This observation demonstrates a crossover from one-half quantized Hall conductance in a metallic phase at zero field to one or zero quantized Hall conductance in the insulating phase at a strong field in the presence of disorders, serving as a key indicator for confirming parity anomaly. Our work provides valuable insights into the intricate relationship between band topology in condensed matter systems and quantum anomaly in quantum field theory.

arXiv comment7 pages, 3 figures

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Cited by in corpus (9)

• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Parity Anomalous Semimetal with Minimal Conductivity Induced by an In-Plane Magnetic Field
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Absence of Parity Anomaly in Massive Dirac Fermions on a Lattice
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Disordered Parity Anomalous Semimetal