67 citations · 108 across the 14 of their papers we have counts for
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Loop unitary and phase band topological invariant in generic multi-band Chern insulators
Xi Wu, Ze Yang, Fuxiang Li
Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants ar…
Topological invariant of multilayer Haldane models with irregular stackings
Xi Wu
We study multilayer Haldane models with irregular type of stacking, considering the nearest interlayer hopping. We prove that the value of the topological invariant is equal to the…
Boundary Condition Analysis of First and Second Order Topological Insulators
Xi Wu, Taro Kimura
We analytically study boundary conditions of the Dirac fermion models on a lattice, which describe the first and second order topological insulators. We obtain the dispersion relat…
Multilayer Haldane model
Xi Wu, C. X. Zhang, M. A. Zubkov
We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter - layer hopping parameter corresponds to the ABC stac…
Anomalous fractional quantum Hall effect and multi-valued Hamiltonians
Xi Wu, M. A. Zubkov
We discuss anomalous fractional quantum Hall effect that exists without external magnetic field. We propose that excitations in such systems may be described effectively by non-int…
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…
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…
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…
Edge-of-edge States
Koji Hashimoto, Taro Kimura, Xi Wu
We study an exotic state which is localized only at an intersection of edges of a topological material. This "edge-of-edge" state is shown to exist generically. We construct explic…
Boundary Conditions of Weyl Semimetals
Koji Hashimoto, Taro Kimura, Xi Wu
We find that generic boundary conditions of Weyl semimetal is dictated by only a single real parameter, in the continuum limit. We determine how the energy dispersions (the Fermi a…