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math-ph2024
Topological Semimetals
Guo Chuan Thiang
We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fe…
math-ph2024
Fock space: A bridge between Fredholm index and the quantum Hall effect
Guo Chuan Thiang, Jingbo Xia
We compute the quantized Hall conductance at various Landau levels by using the classic trace. The computations reduce to the single elementary one for the lowest Landau level. By…
math-ph2024
Fractional index of Bargmann-Fock space and Landau levels
Guo Chuan Thiang
The lowest Landau level Hilbert space, or the Bargmann-Fock space, admits a quantized trace for the commutator of its position coordinate operators. We exploit the Carey-Pincus the…