4 papers
Theory of Integer Quantum Hall Effect in Irrational Magnetic Field
Zhao-Wen Miao, Chen Zhao, Jin-Hua Gao +1
The conventional theory of the integer quantum Hall effect (IQHE) fails for irrational magnetic fields owing to the breakdown of magnetic translational symmetry. Here, based on the…
Sliding-tuned Quantum Geometry in Moiré Systems: Nonlinear Hall Effect and Quantum Metric Control
Shi-Ping Ding, Miao Liang, Tian-Le Wu +4
Sliding is a ubiquitous phenomenon in moiré systems, but its direct influence on moiré bands, especially in multi-twist moiré systems, has been largely overlooked to date. Here, we…
Theory of Localized States in Quasiperiodic Lattices
Jin-Rong Chen, Xin-Yu Guo, Shi-Ping Ding +4
The physics of localized states in quasiperiodic lattices has been extensively studied for decades, but still lacks an comprehensive theoretical framework. Recently, we developed a…
Energy Bands of Incommensurate Systems
Xin-Yu Guo, Jin-Rong Chen, Chen Zhao +4
Energy band theory is a fundamental cornerstone of condensed matter physics. According to conventional wisdom, discrete translational symmetry is mandatory for defining energy band…