Quantum anomalous Hall effect is the "quantum" version of the anomalous Hall effect. While the anomalous Hall effect requires a combination of magnetic polarization and spin-orbit coupling to generate a finite Hall voltage even in the absence of an external magnetic field (hence called "anomalous"), the quantum anomalous Hall effect is its quantized version. The Hall conductivity acquires quantized values proportional to integer multiples of the conductance quantum{\displaystyle e^{2}/h}, and is similar to the quantum Hall effect in this regard. The integer here is equal to the Chern number which arises out of topological properties of the material band structure. These effects are observed in systems called quantum anomalous Hall insulators (also called Chern insulators).
The effect was observed experimentally for the first time in 2013 by a team led by Xue Qikun at Tsinghua University.
Components of the Book:
- Chapter 1
Investigation of the spin Seebeck effect and anomalous Nernst effect in a bulk carbon material
- Chapter 2
Prediction of Quantum Anomalous Hall Effect in MBi and MSb (M:Ti, Zr, and Hf) Honeycombs
- Chapter 3
Hořava-Lifshitz gravity and effective theory of the fractional quantum Hall effect
- Chapter 4
Investigation into the Anomalous Temperature Characteristics of InGaN Double Quantum Well Blue Laser Diodes Using Numerical Simulation
- Chapter 5
Effective actions for anomalous hydrodynamics
- Chapter 6
Tunable topological quantum states in three- and two-dimensional materials
- Chapter 7
A holographic quantum Hall ferromagnet
- Chapter 8
The family of topological Hall effects for electrons in skyrmion
crystals
- Chapter 9
Topological approach to quantum Hall effects and its important
applications: higher Landau levels, graphene and its bilayer
- Chapter 10
Quantum transport in topological semimetals
under magnetic fields
- Chapter 11
Anomaly inflow and thermal equilibrium
Readership:
Students, academics, teachers and other people attending or interested in Quantum Anomalous Hall Effect
Chaolun Wu, Kadanoff Center for Theoretical Physics and Enrico Fermi Institute, University of Chicago, Chicago, U.S.A.
Shao-Feng Wu, Department of Physics, Shanghai University, Shanghai, China
Mukund Rangamani, Centre for Particle Theory & Department of Mathematical Sciences, Science Laboratories, Durham, U.K
R. Loganayagam, Junior Fellow, Harvard Society of Fellows, Harvard University, Cambridge, U.S.A
Wu-Ming Liu, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
Hsin Lin, Centre for Advanced 2D Materials and Graphene Research Centre, National University of Singapore, Singapore
and more...