Lieb-Schultz-Mattis-Type and Laughlin-Type Argument for the Quantum Hall Effect in Lattice Fermions with Spiral Boundary Conditions

Masaaki Nakamura, Masanori Yamanaka

We derive the condition for the occurrence of the integer quantum Hall effect in two-dimensional lattice systems with interactions, expressed as $\varphi \nu -\rho \in \mathbb{Z}$, where $\varphi$, $\nu$…