The Chern number physically represents topological invariants in quantum Hall systems
the verdict
SUPPORTED
the evidence backs this
confidence 92/100
The Chern number serves as the foundational topological invariant that characterizes the quantized response in integer quantum Hall systems.
Evidence for · 4
Exploring 4D quantum Hall physics with a 2D topological charge pump
2017 · cited by 431
Paper [0] discusses how the two-dimensional integer quantum Hall effect is characterized by the first Chern number, which manifests as a quantized Hall response.
See more details
More for · 3
Photonic topological boundary pumping as a probe of 4D quantum Hall physics
2017 · cited by 429
Paper [1] explains that the quantum Hall effect arises from non-trivial band topology where an integer topological invariant, the first Chern number, leads to quantized Hall conductance.
Nonlinearity-induced topological phase transition characterized by the nonlinear Chern number
2023 · cited by 56
Paper [2] notes that linear topological systems such as the quantum Hall effect are characterized using invariants like the Chern number.
Edge states and integer quantum Hall effect in topological insulator thin films
2015 · cited by 46
Paper [3] examines the integer quantum Hall effect as a topological state of quantum matter in two dimensions.