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Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect
Sung-Sik Lee, Shinsei Ryu
We propose a many-body generalization of the Z2 topological invariant for the quantum spin Hall insulator, which does not rely on single-particle band structures. The invariant is…
Particle-Hole Symmetry and the Quantum Hall State
Sung-Sik Lee, Shinsei Ryu, Chetan Nayak +1
We discuss the implications of approximate particle-hole symmetry in a half-filled Landau level in which a paired quantum Hall state forms. We note that the Pfaffian state is not p…
Topological delocalization of two-dimensional massless Dirac fermions
Kentaro Nomura, Mikito Koshino, Shinsei Ryu
The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which e.g., underlies the theoretical description of graphene, is computed n…
Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
Shinsei Ryu, Christopher Mudry, Hideaki Obuse +1
We discuss, for a two-dimensional Dirac Hamiltonian with random scalar potential, the presence of a topological term in the non-linear sigma model encoding the physics of And…
Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
Hideaki Obuse, Akira Furusaki, Shinsei Ryu +1
The effects of static disorder on the Z_2 quantum spin-Hall effect for non-interacting electrons propagating in two-dimensional space is studied numerically. A two-dimensional time…