Semiclassical theory of the tunneling anomaly in partially spin-polarized compressible quantum Hall states
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PhysRevB.97.195114.pdf
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416.54 KB
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Author(s)
Chowdhury, Debanjan
Skinner, Brian J
Lee, Patrick A
Date Issued
May 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Chowdhury, Debanjan et al. "Semiclassical theory of the tunneling anomaly in partially spin-polarized compressible quantum Hall states." Physical Review B 97, 19 (May 2018): 195114 © 2018 American Physical Society
Version
Final published version
Abstract
Electron tunneling into a system with strong interactions is known to exhibit an anomaly, in which the tunneling conductance vanishes continuously at low energy due to many-body interactions. Recent measurements have probed this anomaly in a quantum Hall bilayer of the half-filled Landau level, and shown that the anomaly apparently gets stronger as the half-filled Landau level is increasingly spin polarized. Motivated by this result, we construct a semiclassical hydrodynamic theory of the tunneling anomaly in terms of the charge-spreading action associated with tunneling between two copies of the Halperin-Lee-Read state with partial spin polarization. This theory is complementary to our recent work (D. Chowdhury, B. Skinner, and P. A. Lee, arXiv:1709.06091) where the electron spectral function was computed directly using an instanton-based approach. Our results show that the experimental observation cannot be understood within conventional theories of the tunneling anomaly, in which the spreading of the injected charge is driven by the mean-field Coulomb energy. However, we identify a qualitatively new regime, in which the mean-field Coulomb energy is effectively quenched and the tunneling anomaly is dominated by the finite compressibility of the composite Fermion liquid.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.195114
