Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
arXiv:2212.01374 · doi:10.1126/science.adf9728
Abstract
One dimensional conductors are described by Luttinger liquid theory, which predicts a power-law suppression of the density of states near the Fermi level. The scaling exponent is non-universal in the general case, but is predicted to be quantized for the chiral edge states of the fractional quantum Hall effect. Here, we report conductance measurements across a point contact linking integer and fractional quantum Hall edge states. At weak coupling, we observe the predicted universal quadratic scaling with temperature and voltage. At strong coupling, the conductance saturates to e^2/2h, arising from perfect Andreev reflection of fractionalized quasi-particles at the point contact. We use the strong coupling physics to realize a nearly dissipationless DC voltage step-up transformer, whose gain of 3/2 arises directly from topological fractionalization of electrical charge.
18 pages, 12 figures
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- Platforms for the realization and characterization of Tomonaga-Luttinger liquids
- Localization and conductance in fractional quantum Hall edges
- Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
- Coherent electron splitting in interacting chiral edge channels
- Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
- Designing exciton-condensate Josephson junction in quantum Hall heterostructures
- Field Theoretic Aspects of Condensed Matter Physics: An Overview
- Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact
- Universal Anyon Tunneling in a Chiral Luttinger Liquid
- Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
- Interaction robustness of the chiral anomaly in Weyl semimetals and Luttinger liquids from a mixed anomaly approach
- Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
- Residual quantum coherent electron transport in doped graphene leads