Light-induced half-quantized Hall effect and axion insulator

F Qin, CH Lee, R Chen - Physical Review B, 2023 - APS
Motivated by the recent experimental realization of the half-quantized Hall effect phase in a
three-dimensional (3D) semimagnetic topological insulator [M. Mogi, Nat. Phys. 18, 390 …

Calculations of the Chern number: Equivalence of real-space and twisted-boundary-condition formulas

L Lin, Y Ke, L Zhang, C Lee - Physical Review B, 2023 - APS
The Chern number is a crucial invariant for characterizing topological features of two-
dimensional quantum systems. The real-space Chern number allows us to extract …

Anomalous coherence length of Majorana zero modes at vortices in superconducting topological insulators

B Fu, SQ Shen - Physical Review B, 2023 - APS
The coherence length of two Majorana zero-energy modes in ap-wave topological
superconductor is inversely proportional to the superconducting order parameter. We …

Metallic quantized anomalous Hall effect without chiral edge states

KZ Bai, B Fu, Z Zhang, SQ Shen - Physical Review B, 2023 - APS
The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized
Hall resistance. It has been observed in some two-dimensional insulating materials such as …

Signature of parity anomaly: Crossover from one half to integer quantized Hall conductance in a finite magnetic field

HW Wang, B Fu, SQ Shen - Physical Review B, 2024 - APS
The pursuit of understanding the parity anomaly in condensed matter systems has led to
significant advancements in both theoretical and experimental research in recent years. In …

On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films

R Chen, SQ Shen - Science China Physics, Mechanics & Astronomy, 2024 - Springer
In topological insulators, massive surface states resulting from local symmetry breaking were
thought to exhibit a half-quantized Hall conductance, obtained from the low-energy effective …

Half Quantum Mirror Hall Effect

B Fu, KZ Bai, SQ Shen - arXiv preprint arXiv:2402.02654, 2024 - arxiv.org
We report the discovery of the half-quantized mirror Hall effect, a novel quantum-anomaly
induced by mirror symmetry in a strong topological insulator (TI) film. These films are known …

Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films

KZ Bai, B Fu, SQ Shen - arXiv preprint arXiv:2405.09121, 2024 - arxiv.org
We develop a Dirac fermion theory for topological phases in magnetic topological insulator
films. The theory is based on exact solutions of the energies and the wave functions for an …

Topological defects and boundary states in four-dimensional topological insulator

ZW Chang, WC Hao, X Liu - Europhysics Letters, 2024 - iopscience.iop.org
We show the connection between the second Chern number and topological defects, in a
(4+ 1)-dimensional time-reversal invariant Dirac lattice model. It is discovered that two types …

One-dimensional chiral anomaly and its disorder response

Z Qin, DH Xu, Z Ning, R Wang - Physical Review B, 2023 - APS
The condensed-matter realization of chiral anomaly has attracted tremendous interest in
exploring unexpected phenomena of quantum field theory. Here, we show that one …