Nonlinear edge transport in a quantum Hall system.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 39453998.
- Also identified by DOI 10.1126/sciadv.ado2704 and PMC identifier 11639171.
- Licence recorded as CC BY-NC.
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Abstract
Nonlinear transport phenomena in condensed matter reflect the geometric nature, quantum coherence, and many-body correlation of electronic states. Electric currents in solids are classified into (i) ohmic current, (ii) supercurrent, and (iii) geometric or topological current. While the nonlinear current-voltage (<i>I</i>-<i>V</i>) characteristics of the former two categories have been extensive research topics recently, those of the last category remains unexplored. Among them, the quantum Hall current is a representative example. Realized in two-dimensional electronic systems under a strong magnetic field, the topological protection quantizes the Hall conductance in the unit of <i>e</i><sup>2</sup>/<i>h</i> (<i>e</i>, elementary charge; and <i>h</i>, Planck constant), of which the edge transport picture gives a good account. Here, we theoretically study the nonlinear <i>I</i>-<i>V</i><sub>H</sub> characteristic of the edge transport up to third order in <i>V</i><sub>H</sub>. We find that nonlinearity arises in the Hall response from electron-electron interaction between the counterpropagating edge channels with the nonlinear energy dispersions. We also discuss possible experimental observations.