Scholarlink

<p>The edge modes of fractional quantum Hall liquids are described by chiral Luttinger liquid theory. Despite many years of experimental investigation, fractional quantum Hall edge modes are not fully understood, and clear discrepancies between experimental observations and detailed predictions of chiral Luttinger liquid theory remain. Here we report the measurements of tunnelling conductance between counterpropagating edge modes at a filling factor of 1/3 across a quantum point contact. We present evidence for the tunnelling of anyons through an incompressible liquid that exhibits universal scaling behaviour with respect to temperature, source–drain bias and barrier transmission, as originally proposed by prior theoretical work. For large transmission through the quantum point contact, we measured the tunnelling exponent <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41567_2025_3039_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="127" /> </InlineMediaObject> <EquationSource Format="TEX">\(\bar{g}=0.333\pm 0.005\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ḡ</mi> <mo>=</mo> <mn>0</mn> <mo>.</mo> <mn>333</mn> <mo>±</mo> <mn>0</mn> <mo>.</mo> <mn>005</mn> </mrow> </math></EquationSource> </InlineEquation> averaged over 29 independent datasets, consistent with the scaling dimension of 1/6 for a Laughlin quasiparticle at the edge. When combined with the measurements of the fractional charge and the recently observed anyonic statistical angle, the measured tunnelling exponent fully characterizes the topological order of the primary Laughlin state at the filling factor of 1/3.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Universal anyon tunnelling in a chiral Luttinger liquid

  • 期刊论文

  • 发表日期：

    2025年9月23日

查看全文
  • Ramon Guerrero-Suarez,
  • Adithya Suresh,
  • Tanmay Maiti,
  • Shuang Liang,
  • James Nakamura,
  • Geoffrey Gardner,
  • Claudio Chamon,
  • Michael Manfra

摘要

The edge modes of fractional quantum Hall liquids are described by chiral Luttinger liquid theory. Despite many years of experimental investigation, fractional quantum Hall edge modes are not fully understood, and clear discrepancies between experimental observations and detailed predictions of chiral Luttinger liquid theory remain. Here we report the measurements of tunnelling conductance between counterpropagating edge modes at a filling factor of 1/3 across a quantum point contact. We present evidence for the tunnelling of anyons through an incompressible liquid that exhibits universal scaling behaviour with respect to temperature, source–drain bias and barrier transmission, as originally proposed by prior theoretical work. For large transmission through the quantum point contact, we measured the tunnelling exponent \(\bar{g}=0.333\pm 0.005\) ḡ = 0 . 333 ± 0 . 005 averaged over 29 independent datasets, consistent with the scaling dimension of 1/6 for a Laughlin quasiparticle at the edge. When combined with the measurements of the fractional charge and the recently observed anyonic statistical angle, the measured tunnelling exponent fully characterizes the topological order of the primary Laughlin state at the filling factor of 1/3.