The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect

Abstract

We study point-contact tunneling in the integer quantum Hall state of bosons. This symmetry-protected topological state has electrical Hall conductivity equal to $2e^2/h$ and vanishing thermal Hall conductivity. In contrast to the integer quantum Hall state of fermions, a point contact can have a dramatic effect on the low energy physics. In the absence of disorder, a point contact generically leads to a partially-split Hall bar geometry. We describe the resulting intermediate fixed point via the two-terminal electrical (Hall) conductance of the edge modes. Disorder along the edge, however, both restores the universality of the two-terminal conductance and helps preserve the integrity of the Hall bar within the relevant parameter regime.

12 pages, 5 figures; v.2: typos fixed and clarified some arguments

References in corpus (6)

• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Ground state entanglement and geometric entropy in the Kitaev's model
• Corner Junction as a Probe of Helical Edge States
• Bulk-Edge Correspondence in 2+1-Dimensional Abelian Topological Phases
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Cited by in corpus (6)

• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Universality and quantized response in bosonic nonfractionalized tunneling
• A bosonic topological phase in a paired superfluid