67 citations · 108 across the 14 of their papers we have counts for
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cond-mat.mes-hall2019★ 3 cited
Hall conductivity as topological invariant in phase space
I. V. Fialkovsky, M. Suleymanov, Xi Wu +2
It is well known that the quantum Hall conductivity in the presence of constant magnetic field is expressed through the topological TKNN invariant. The same invariant is responsibl…
hep-th2019★ 5 cited
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…
cond-mat.mes-hall2019★ 20 cited
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…