Lieb-Schultz-Mattis-Type and Laughlin-Type Argument for the Quantum Hall Effect in Lattice Fermions with Spiral Boundary Conditions
This paper derives the condition for the integer quantum Hall effect in interacting two-dimensional lattice systems by employing spiral boundary conditions to treat the system as an extended one-dimensional chain, thereby obtaining the relationship between magnetic flux, Chern number, and electron density directly through a combined Lieb-Schultz-Mattis and Laughlin-type argument without the redundant system-size dependence found in conventional periodic boundary approaches.