Quarter-quantized thermal Hall effect with parity anomaly

Abstract

We show that in the proximity of s-wave superconductors, the magnetic topological surface states can transform into Majorana surface state, featuring a single gapless Majorana cone with parity anomaly when the superconducting pairing gap matches the surface magnetization gap. The emergence of $N=1/2$ Majorana chiral edge current is observed at the boundaries between the gap region and the gapless region. Additionally, in systems with a single gapless Majorana cone, a quarter-quantized thermal Hall conductance appears under the dephasing. By mapping the system to a conductor-network model, we identify the appearance of 1/4 chiral heat channels as the cause of the quarter-quantized Hall thermal conductance. We observe the stability of this quarter-quantized thermal conductance under temperature variations, serving as a distinctive feature indicating the presence of a single gapless Majorana cone in the system. Our models can be experimentally realized using magnetic topological insulators or iron-based superconductors.

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Cited by in corpus (8)

• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
• Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model
• Disordered Parity Anomalous Semimetal