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Particle-hole symmetric Luttinger liquids in a quantum Hall circuit

Stefano Roddaro·Vittorio Pellegrini·Fabio Beltram·Loren N. Pfeiffer·Ken W. West
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Abstract

We report current transmission data through a split-gate constriction fabricated onto a two-dimensional electron system in the integer quantum Hall (QH) regime. Split-gate biasing drives inter-edge backscattering and is shown to lead to suppressed or enhanced transmission, in marked contrast with the expected linear Fermi-liquid behavior. This evolution is described in terms of particle-hole symmetry and allows us to conclude that an unexpected class of gate-controlled particle-hole-symmetric chiral Luttinger Liquids (CLLs) can exist at the edges of our QH circuit. These results highlight the role of particle-hole symmetry on the properties of CLL edge states.

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Stefano Roddaro, Vittorio Pellegrini, Fabio Beltram, Loren N. Pfeiffer, Ken W. West. 2005-01-17. Particle-hole symmetric Luttinger liquids in a quantum Hall circuit. https://doi.org/10.1103/physrevlett.95.156804

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