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Laughlin's argument for the quantized thermal Hall effect
Ryota Nakai, Shinsei Ryu, Kentaro Nomura
We extend Laughlin's magnetic-flux-threading argument to the quantized thermal Hall effect. A proper analogue of Laughlin's adiabatic magnetic-flux threading process for the case o…
Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
Pedro L. S. Lopes, Pouyan Ghaemi, Shinsei Ryu +1
The transfer of conserved charges through insulating matter via smooth deformations of the Hamiltonian is known as quantum adiabatic, or Thouless, pumping. Central to this phenomen…
Holographic Entanglement Renormalization of Topological Insulators
Xueda Wen, Gil Young Cho, Pedro L. S. Lopes +3
We study the real-space entanglement renormalization group flows of topological band insulators in (2+1) dimensions by using the continuum multi-scale entanglement renormalization…
Holographic duality between -d quantum anomalous Hall state and -d topological insulators
Yingfei Gu, Ching Hua Lee, Xueda Wen +3
In this paper, we study -dimensional quantum anomalous Hall states, i.e. band insulators with quantized Hall conductance, using the exact holographic mapping. The exact holo…
Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
Xueda Wen, Shunji Matsuura, Shinsei Ryu
We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is comple…