Europhys. Lett.
Volume 47, Number 2, July 1999
Page(s) 233 - 239
Section Condensed matter: electronic structure, electrical, magnetic and optical properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00377-0

Europhys. Lett, 47 (2), pp. 233-239 (1999)

Tunneling into fractional quantum Hall edges

K. Imura

Department of Applied Physics, University of Tokyo - Tokyo 113-8656, Japan

(received 26 January 1999; accepted in final form 11 May 1999)

PACS. 72.10${\rm -d}$ - Theory of electronic transport; scattering mechanisms.
PACS. 73.20Dx - Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers).
PACS. 73.40Hm - Quantum Hall effect (integer and fractional).


We study the non-Ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids in terms of chiral Tomonaga-Luttinger liquid (TLL) theory. Generalizing a model proposed by Lee and Wen, we investigate the effects of interaction between the charge and neutral modes. For small $\epsilon=v_{\rm n}/v_{\rm c}$ we found that the chiral TLL model could successfully explain the observed approximate $\alpha =1/\nu$ dependence ($I\sim V^\alpha$).


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