4 papers
TKNN formula for general lattice Hamiltonian in odd dimensions
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi +1
Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of t…
Quantum Hall conductivity in the presence of interactions
Xi Wu, M. A. Zubkov
We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is…
TKNN formula for general Hamiltonian
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi +1
Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of t…
Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field
M. A. Zubkov, Xi Wu
Recently the Wigner - Weyl formalism has been applied to the lattice models of solid state physics and to the lattice regularized quantum field theory. This allows to demonstrate t…